Answer:
16 cakes
Step-by-step explanation:
If you do 6 divided by 3/8, you would get 16, which is the amount of cakes that Kevin will be able to make.
» A cylinder has a height of 13 millimeters and a radius of 11 millimeters. What is its
volume? Use a 3.14 and round your answer to the nearest hundredth.
Answer:
V =4939.22 mm^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
where r is the radius and h is the height
V = 3.14 (11)^2 *13
V =4939.22 mm^3
What is the length of the radius of a circle whose area is 100 pie(3.14)?
If Miranda flips a coin twice, what is the probability that both coins will land heads up?
The probability that the first coin will land heads up is
The probability that the second coin will land heads up is
The probability that both coins will land heads up is
Answer: The probability that the first coin will land heads up is : 50
The probability that the second coin will land heads up is
The probability that both coins will land heads up is : 25
Step-by-step explanation:
Answer: Both coins 1/4
First coin 1/2
Second coin 1/2
. A ball is thrown upward. Its height (h, in feet) is
given by the function h = 16t^2+ 64t + 34, where t is
the length of time (in seconds) that the ball has been
in the air. What is the maximum height that the ball
reaches?
A. 3 ft B. 51 ft C. 63 ft D. 67
Answer:
Well none of the answers are correct as maximum height is found by doing -b/2a which gives the x coordinate of the vertex also known as the heighest or lowest point. But when plugged in it gives the lowest point assuming you made the mistake of making the 16 positive when its supposed to be negative you would plug it in and get 98 which isn't an answer choice assuming 34 is the ground when you subtract that you get 64 whch still isn't an answer choice check your numbers in the equation
Answer:
64 feet
Step-by-step explanation:
You can solve this by completing the square and turning the equation into that of a parabola, where the uppermost vertex is the highest point in the ball's flight path.
[tex]h=-16(t^2-4t+4)+98[/tex]
[tex]h=-16(t-2)^2+98[/tex]
Since the first term there is negative, the largest possible answer that you can get is if that term is 0. The only way to make it 0 is for t to be 2, so you know that that is when the highest point is. If the first term is 0, all that is left is 98, which is the highest height. However, since you initially start at 98, you only end up going 64 feet up (I guess C is the closest to that?). Hope this helps!
Michael has a fish tank that has a length of 7 inches, a width 6 inches and and height of 8 inches. What is the total surface area of the fish tank ?
Answer:
I think the answer is 292 inches.
Answer: 250in².
Step-by-step explanation:
Total surface area of the fish tank wil be, listen we can can derive a formula for the surface area.
The fish tanks has five surfaces since the top will be opened. For fnd the total surface area now, find the area of each of the surfaces and add together. If it is 6 surfaces, the formula would have been.
2(lb) + 2(lb) + 2(lb)
2( lb + lb + lb )
Now , first (lb) = 7 × 6in²= 42in² ie. the top and the bottom,
Second surfaces, the sides
7 × 8 = 56in²
The third is the other sides
6 × 8 = 48in². Now applying the formula now, bearing in mind that the top is open, we now have
42in² + 2( lb + lb )in²
= 42 + 2( 56 + 48 )
= 42 + 2(104)
= 42 + 208
= 250in².
Note, if the tank or box is closed, then the above derived formula could be suitable.
The height is also regarded as the depth.
Some students checked 6 bags of Doritos marked with a net weight of 28.3 grams. They carefully weighed the contents of each bag, recording the following weights (in grams): 29.2, 28.5, 28.7, 28.9, 29.1, 29.5. The average weight is 29.0 and the standard deviation is 0.36. Assume the weight of the bags follows normal distribution. Does this provide strong evidence that the true weight is not 28.3 grams?
Answer:
We conclude that the true mean weight is not 28.3 grams at 5% significance level.
Step-by-step explanation:
We are given that some students checked 6 bags of Doritos marked with a net weight of 28.3 grams.
They carefully weighed the contents of each bag, recording the following weights (in grams): 29.2, 28.5, 28.7, 28.9, 29.1, 29.5. The average weight is 29.0 and the standard deviation is 0.36.
Let [tex]\mu[/tex] = true mean weight of bag.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 28.3 grams {means that the true mean weight is 28.3 grams}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] [tex]\neq[/tex] 28.3 grams {means that the true mean weight is not 28.3 grams}
The test statistics that would be used here One-sample t test statistics as we don't know about the population standard deviation;
T.S. = [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] ~ [tex]t_n_-_1[/tex]
where, [tex]\bar X[/tex] = sample mean weight = 29.0 grams
s = sample standard deviation = 0.36 grams
n = sample of bags = 6
So, test statistics = [tex]\frac{29.0-28.3}{\frac{0.36}{\sqrt{6} } }[/tex] ~ [tex]t_5[/tex]
= 4.763
The value of t test statistics is 4.763.
Since, in the question we are not given the level of significance so we assume it to be 5%. Now, at 5% significance level the t table gives critical values of -2.571 and 2.571 at 5 degree of freedom for two-tailed test.
Since our test statistics does not lie within the range of critical values of t, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.
Therefore, we conclude that the true mean weight is not 28.3 grams.
There is strong evidence to suggest that the true mean weight of the Doritos bags is not 28.3 grams, based on a hypothesis test that resulted in a very low p-value.
To determine if there is strong evidence that the true mean weight of the Doritos bags is not 28.3 grams, we perform a hypothesis test using the given data.
State the null hypothesis (H0) and the alternative hypothesis (Ha):
H0: μ = 28.3 grams (the true mean weight is 28.3 grams)
Ha: μ ≠ 28.3 grams (the true mean weight is not 28.3 grams)
Calculate the test statistic:
The test statistic for a sample mean is given by:
z = (sample mean - population mean) / (standard deviation / √(n))
Here, the sample mean = 29.0 grams, population mean = 28.3 grams, standard deviation = 0.36 grams, and n = 6.
Thus, z = (29.0 - 28.3) / (0.36 / √(6)) ≈ 4.08
Using a z-table, the p-value associated with a z-score of 4.08 is extremely small (much less than 0.05).
Compare the p-value to the significance level (α):
At α = 0.05, since the p-value is much smaller, we reject the null hypothesis.
Since the p-value is very low, there is strong evidence to suggest that the true mean weight of the Doritos bags is not 28.3 grams.
What is the covariance for the number of times a head appears for each coin? Suppose you have two unfair coins. Coin 1, denoted as C1, has a probability of landing heads with probability 2/5 and tails with probability 3/5. Coin 2, denoted as C2, has a probability of landing heads with probability 1/3 and tails with probability 2/3. Toss coin 1 first. If coin 1 lands heads, toss coin 1 again. If coin 1 lands tails, then toss coin 2.
Answer:
Check the explanation
Step-by-step explanation:
Kindly check the attached images below to see the step by step explanation to the question above.
ILL GIVE YOU BRAINLIST !! *have to get it right ! *
Find the slope of the line IM on the graph.
Answer:
-1/2
Step-by-step explanation:
Point L is at (-2,3)
Point M is at (2,1)
We can find the slope using
m =(y2-y1)/(x2-x1)
= (1-3)/(2 - -2)
=(1-3)/(2+2)
=-2/4
=-1/2
It cost Jodi $44.88 to buy 12 gallons of gas.what was the cost per gallon of gas?
Answer: $3.74
Step-by-step explanation: 44.88/12=3.74
Answer:
Jodi paid $3.74 for each gallon of gas
Step-by-step explanation:
Kirby ran three-fourths of a half mile and dropped out of the 800 meter race. Her
pace was 12 miles an hour until the point she dropped out of the race. About how
many minutes did she run approximately?
Answer:
1.88 minutes
Step-by-step explanation:
This question can be solved using speed, distance and time concept along-with use of computing fractions.
Given
Distance ran by Kirby = 3/4 of half mile
= 3/4 of 1/2 mile = 3/4 * 1/2 mile = 3/8 mile.
Speed of Kirby until she dropped out of race = 12 miles/hour
Formula to calculate time = Distance/Time
substituting value of speed of Kirby and distance covered by Kirby
Time = [tex](3/8) / 12 = 3/(8*12) = 1/32 \ hour[/tex]
Since one hour has 60 minutes 1/32 hour = (1/32) * 60 minutes = 1.88 minutes
A tile is chosen at random from a bag containing the following tiles: 7 blue, 3 green, 6 yellow, and 5 purple. Let P be the probability distribution defined on the set {blue, green, yellow, purple}. Write each probability rounded to the nearest hundredth
P(blue)=_____
P(green)=_____
P(purple)=_____
P(yellow)=_____
Answer:
P(blue) = 0.33
P(green) = 0.14
P(purple) = 0.24
P(yellow) = 0.29
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, we have that:
7+3+6+5 = 21 tils.
7 of them are blue. So
P(blue) = 7/21 = 0.33
3 of them are green. So
P(green) = 3/21 = 0.14
6 of them are yellow. So
P(yellow) = 6/21 = 0.29
5 of them are purple. So
P(purple) = 5/21 = 0.24
Answer:
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
According to the question
7 + 3 + 6 + 5 = 21 in a bag
[tex]P(blue) = \frac{7C_1}{21C_1} \\\\=\frac{7}{21} \\\\=\frac{1}{3} \\\\= 0.33[/tex]
[tex]P(green) = \frac{3C_1}{21C_1} \\\\= \frac{3}{21} \\\\=\frac{1}{7} \\\\= 0.14[/tex]
[tex]P(yellow)=\frac{6C_1}{21C_1} \\\\=\frac{6}{21}\\\\=\frac{2}{7} \\\\=0.29[/tex]
[tex]P(purple) = \frac{5C_1}{21C_1} \\\\=\frac{5}{21} \\\\=0.24[/tex]
What is the value of x in the equation 4x - 10 = 18
Start with
[tex]4x - 10 = 18[/tex]
Add 10 to both sides:
[tex]4x - 10+10 = 18+10[/tex]
This cancels the "-10" on the left hand side:
[tex]4x = 28[/tex]
Divide both sides by 4:
[tex]\dfrac{4x}{4} = \dfrac{28}{4}[/tex]
This cancels the 4 on the left hand side:
[tex]x = 7[/tex]
4x - 10 = 18| + 10
4x - 10 + 10 = 18 + 10
4x = 28| ÷ 4
4x ÷ 4 = 28 ÷ 4
x = 7
Patrick is getting new carpet in his rectangular room. He needs 60 square units of carpet. His living room measured 10 units long
It's B
Step-by-step explanation:
The chair of the Department of Mathematics and Statistics needs to appoint a faculty committee consisting of 5 mathematics and 4 statistics faculty. There are 23 mathematics and 14 statistics faculty members in the department. In how many ways can he select a committee? Setup the numerical expression using fractions, factorials, etc. but you do not need to evaluate it.
Answer:
There are 27,720 ways to select the committee
Step-by-step explanation:
First, it is necessary to know how many ways are there to select 3 members, if there are 9 members of the mathematics department. This can be found using the following equation:
Where nCk gives as the number of ways in which we can select k elements from a group of n elements. So, replacing n by 9 and k by 3 members, we get:
So, there are 84 ways to select 3 members from 9 members of the mathematics department.
At the same way, we can calculate that there are 330 ways to select 4 members from the 11 that belong to the Computer science department as:
Finally the total number of ways in which we can form a committee with 3 faculty members from mathematics and 4 from the computer science department is calculated as:
9C3 * 11C4 = 84 * 330 = 27,720
Select the correct answer,
Why are online payment services necessary?
OAIndividuals who sell items online cannot afford
OB. It is too risky to use credit cards online, and on
C. Government regulations require all online tran
OD
Online payment services are the only payment
Answer:
B. It is too risky to use credit cards online, and online payment services have better security because of the increasing number of hackers that may steal money from your bank account.
Step-by-step explanation:
The music you hear when listening to a magnetic cassette tape is the result of the magnetic tape passing over magnetic heads, which read the magnetic information on the tape. The length of time a tape will play depends on the length of the tape and the operating speed of the tape player. The formula is T = L S , where T is the time in seconds, L is the length of the tape in inches, and S is the operating speed in inches per second. How long a tape does a police officer need to record a 3-minute confession at an operating speed of 4 1 2 inches per second?
Using the given formula T = LS
And given the time is 3 minutes (3 x 60 = 180 seconds)and the speed is 4-1/2 inches per second:
180 = L x 4-1/2
Solve for L by dividing both sides by 4-1/2:
L = 180 / 4-1/2
L = 40
The length should be 40 inches.
Final answer:
To record a 3-minute confession at 4 1/2 inches per second, an officer needs 810 inches of magnetic tape.
Explanation:
To determine how long of a tape a police officer needs to record a 3-minute confession at an operating speed of 4 1/2 inches per second, we use the formula T = L/S, where T is the time in seconds, L is the length of the tape in inches, and S is the operating speed in inches per second. First, convert the 3-minute confession time into seconds: 3 minutes × 60 seconds per minute = 180 seconds. Next, solve for L using L = T × S. Here, T = 180 seconds and S = 4.5 inches per second (since 1/2 inch is 0.5 inches). Thus, L = 180 × 4.5 = 810 inches. Therefore, the officer needs 810 inches of tape.
Therefore, as per the above explaination, the correct answer is 810 InchInches.
Sandy cut three pieces of yarn to use for her art project one was 1ft 8in long one was 10 in long and one was 2 ft 6 in Long how much yarn did Sandy use
Answer:
C. 5 feet
Step-by-step explanation:
Answer:
5 foot 1 foot + 2 foot + 24 inches
Plz help ASAP. Need help on this
Answer:
RS, RT and ST
Step-by-step explanation:
A tangent to a circle is a line that meets a circle at only one point.
AP is the radius and XT is not even a line.
Hope it helps!
Halla el lafo de un cuadrado tal que la suma de su área más su perímetro es numéricamente igual a 252
Which expression uses the distributive property to represent the sum of 39 + 27
Answer:
The expression that uses the distributive property to represent the sum of 39 + 27 is [tex]3(13 + 9)[/tex]
Step-by-step explanation:
Given
Expression: 39 + 27
Required
Express using the distributive property
The distributive property is represented in the form a(b + c)
So, we can say that the meaning to the question is that the given expression should be represented in the form a(b+c)
Equate these two expressions, we have
[tex]a(b+c) = 39 + 27[/tex]
Factorize the expression on the left hand side
[tex]a(b+c) = 3(\frac{39}{3} + \frac{27}{3})[/tex]
Simplify fraction
[tex]a(b+c) = 3(13 + 9)[/tex]
Compare expression on left hand side with the expression on the right hand side.
Since, they have the same format, then we've arrived at the answer.
Hence, the expression that uses the distributive property to represent the sum of 39 + 27 is [tex]3(13 + 9)[/tex]
The expression that represents the sum of 39 + 27 using the distributive property is 39 + 27 = (30 + 9) + (20 + 7) = 66.
Explanation:The expression that represents the sum of 39 + 27 using the distributive property is:
39 + 27 = (30 + 9) + (20 + 7) = 30 + 20 + 9 + 7 = 50 + 16 = 66
To apply the distributive property, we break down the numbers into their place values and add them together. In this case, we can break down 39 into 30 + 9, and 27 into 20 + 7. Then, we add the numbers in each place value group separately and combine the results to get the final sum of 66.
Learn more about Distributive property here:https://brainly.com/question/37341329
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A bucket of water is one quarter full. You add 3.6L to the bucket. Now it has 18L in it. How much water will the bucket hold?
Answer:
57.6 Liters
Step-by-step explanation:
18 - 3.6 to find what 1 quarter is
14.4 * 4 to find the total amount it can hold
= 57.6
I. Red help pls bros
Answer:
the 3rd one
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
because it has too many on one side
if a pack of 24 pencils cost $2.35 how much does a single pencil cost
Answer:
Just divide dollar amount by unit count
2.35/24 =$ ______ per pencil
so each= =0.097917
so 97 cents
The amount that a single pencil cost is $0.10 per pencil.
Using this formula
Cost per pencil=Cost of pencil per pack/Number of pencil per pack
Where:
Cost of pencil per pack=$2.35
Number of pencil per pack=24 pencil
Let plug in the formula
Cost per pencil=$2.35/24
Cost per pencil=$0.098
Cost per pencil=$0.10 (Approximately)
Inconclusion the amount that a single pencil cost is $0.10 per pencil.
Learn more here:
https://brainly.com/question/16698163
Management of Melodic Kortholt Company compared absenteeism rates in two plants on the third Monday in November. Of Plant A's 800 employees, 120 were absent. Of Plant B's 1200 employees, 144 were absent. MegaStat's results for a two-tailed test are shown belowManagement of Melodic Kortholt Company compared absenteeism rates in two plants on the third Monday in November. Of Plant A's 800 employees, 120 were absent. Of Plant B's 1200 employees, 144 were absent. MegaStat's results for a two-tailed test are shown below.p1 p20.15 0.12 p (as decimal)120/800 144/1200 p (as fraction)120. 144. X800 1200 n0.03 sample difference0.00 hypothesized difference0.01545 std. errorx.xx z.0522 p-value (two-tailed)The test statistic (shown as z = x.xx) is approximately:A. 2.022B. 1.960C. 1.942D. 1.645
Answer: C. 1.942
Step-by-step explanation:
This is a test of 2 population proportions. The population proportion of the number of absent employees in plant A and plant B are p1 and p2 respectively.
From the information given,
p1 = 0.15
p2 = 0.12
n1 = 800
n2 = 1200
To determine the z score, we would first determine the pooled proportion.
The pooled proportion, pc is
pc = (x1 + x2)/(n1 + n2)
pc = (120 + 144)/(800 + 1200) = 0.132
1 - pc = 1 - 0.132 = 0.868
The formula for z score is
z = (p1 - p2)/√pc(1 - pc)(1/n1 + 1/n2)
z = (0.15 - 0.12)/√(0.132)(0.868)(1/800 + 1/1200) = - 0.03/0.045
z = 1.942
Using the standard error and sample difference provided in the MegaStat results, and knowing the p-value corresponds to a two-tailed test at the 5 percent significance level, the test statistic for the absenteeism rates at Melodic Kortholt Company is most likely 1.960, corresponding to Option B.
The management of Melodic Kortholt Company compared absenteeism rates in two plants on the third Monday in November. Plant A had an absenteeism rate of 120 out of 800 employees, and Plant B had a rate of 144 out of 1200 employees.
The MegaStat results provided for a two-tailed test show a sample difference of 0.03 and hypothesized difference of 0.00, with a standard error of 0.01545 and a p-value of 0.0522. To find the test statistic, we use the provided standard error and the sample difference.
Using the formula z = (sample difference - hypothesized difference) / std. error, we calculate the z-value to determine the test statistic that corresponds to the options given.
While the exact z-value isn't provided, with a p-value of 0.0522 for a two-tailed test, the z-value would be close to the critical value of 1.96 for a 95% confidence interval. Therefore, the correct z-value that matches the p-value given would most likely be Option B: 1.960.
Which letter labels a vertex?
NEED URGENT ANSWER!
Answer:
C.
Step-by-step explanation:
In geometry, a vertex is the point where three or more edges meet on a shape (a 3-dimensional one of course). The other letters label sides or faces of the shape.
Answer:
C
Step-by-step explanation:
The easiest way to explain it is that A,B, and D are all labeling lines. A vertex is like a corner, with at least three lines protruding from it. A vertex is each angular point in a shape.
hope this helps :)
If you bought a camera in good condition from a friend, would you pay the same as you would if you bought the same item from a stranger? A researcher at Cornell University want to know how friendship might affect simple sales such as this. She randomly divided 15 subjects into two groups and gave each group the same description of a used camera. One group was told to imagine buying from a friend whom they expected to see again. The other group was told to imagine buying from a stranger. The researcher recorded the price each person was willing to pay for the camera.
Final answer:
The degree of imperfect information varies depending on the transaction type. Buying apples or dinner locally involves relatively low imperfect information because of the immediate availability of visual or experiential information, whereas buying a used laptop or ordering flowers online involves higher imperfect information due to the lack of direct product interaction.
Explanation:
Imperfect Information in Economic Transactions
The concept of imperfect information refers to a situation where one or both parties in a transaction do not have all the necessary information to make an entirely informed decision. When assessing the degree of imperfect information in various scenarios, it is essential to consider the transparency and availability of information about the product or service, as well as the trustworthiness of the source providing it.
Buying apples at a roadside stand: The degree of imperfect information is expected to be relatively low as the buyer can visually inspect the apples and assess their quality on the spot.
Buying dinner at the neighborhood restaurant: Imperfect information is also expected to be relatively low since, through prior experience or reputation, one usually has an idea about the quality of food and service.
Buying a used laptop computer at a garage sale: Imperfect information would be relatively high as the buyer may not have the expertise to thoroughly check the laptop's condition or know its history.
Ordering flowers over the internet for a friend in a different city: The degree of imperfect information could be high since the buyer cannot see the actual flowers being sent and must rely on the vendor's description and reputation.
These situations highlight how different market transactions harbor varying levels of imperfect information, which can influence a buyer's willingness to pay and overall decision-making process, according to the principles of behavioral economics. Unlike mainstream economics, which assumes rational actors with perfect information, behavioral economics acknowledges that decisions are often made based on relative outcomes and perceived value rather than absolute savings.
Using the traditional formula, a 95% CI for p1 − p2 is to be constructed based on equal sample sizes from the two populations. For what value n (= m) will the resulting interval have width at most 0.4 irrespective of the results of the sampling? (Round your answer up to the nearest whole number.)
Answer:
The minimum sample size required is 49.
Step-by-step explanation:
The (1 - α)% confidence interval for the difference between two proportions is:
[tex]CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\ \sqrt{\frac{\hat p_{1}(1-\hat p_{1})+\hat p_{2}(1-\hat p_{2})}{n}}[/tex]
*The sample size is considered equal in this case.
The width of the interval is at most 0.40.
Then the margin of error of the interval will be:
MOE = Width ÷ 2 = 0.20
The formula of the margin of error is:
[tex]MOE= z_{\alpha/2}\ \sqrt{\frac{\hat p_{1}(1-\hat p_{1})+\hat p_{2}(1-\hat p_{2})}{n}}[/tex]
Assume that the two sample proportion values are 0.50.
The critical value of z for 95% confidence level is:
[tex]z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96[/tex]
Compute the sample size required as follows:
[tex]MOE= z_{\alpha/2}\ \sqrt{\frac{\hat p_{1}(1-\hat p_{1})+\hat p_{2}(1-\hat p_{2})}{n}}[/tex]
[tex]n=[\frac{z_{\alpha/2}\times \sqrt{\hat p_{1}(1-\hat p_{1})+\hat p_{2}(1-\hat p_{2})}}{MOE}]^{2}[/tex]
[tex]=[\frac{1.96\times \sqrt{0.50(1-0.50)+0.50(1-0.50)}}{0.20}]^{2}\\\\=48.02\\\\\approx 49[/tex]
Thus, the minimum sample size required is 49.
Find 6% of $5.65 and round the product to the nearest cent.
Answer:
$0.34
Step-by-step explanation:
a = p*w
a = .06*5.65
a = 0.339
rounded = 0.34
hope this helps :)
State the type of hypothesis test to be used in the following situation: Researchers hoped to determine whether time spent watching television is associated with cardiovascular fitness. Subjects were asked how many hours per day they watch television and were classified as physically fit if they scored in the excellent or very good category on a step test. The data obtained is as follows: Physically Fit Not Physically Fit 0 hours 35 147 1-2 hours 101 629 3-4 hours 28 222 5 or more hours 4 34 Determine if the association the researchers were interested in exists or not.
Answer:
t-test for difference in slopes
no association exists
Step-by-step explanation:
t-test can be used to determine signifiance in difference in slopes of of fit vs time and not fit vs time graph
The data shows that as number of hours spent watchnig television increases, there is no increasing or decreasing trend in number of people fit or not fit. The number of people fit or not fit seems to be distributed around 629 for 1-2 hours of watching television. There trend is not consistent in both cases with increasing number of hours
We analyzed the relationship between the budgets (in millions of dollars) and the U.S. Box Office Sales (in millions of dollars) for 75 popular movies. The scatterplot showed a weak positive association with a linear form. Here are the StatCrunch linear regression results:
Simple linear regression results:
Dependent Variable: US_Box_Office
Independent Variable: Budget US_Box_Office
IMDb_Rating Rotten Tomatoes = -57.599288 + 17.919209 IMDb_Rating Sample size: 75
R(correlation coefficient) = 0.79786226
R-sq = 0.63658418
Estimate of error standard deviation: 12.916488
Which number describes the percentage of variability in Rotten Tomato ratings that is explained by the changes in IMDb ratings as described by the regression line? This is the slope of the regression line. It describes the predicted change in Rotten Tomato ratings when IMDb ratings increase by one.
a. 0.80
b. 0.64
c. 12.9
d. 17.9
Answer:
According to the information from the exercise, we can deduce that the regression technique is the method of analysis for IMDb ratings and Rotten tomato ratings, so we have a dependent variable such as rotten tomatoes and the independent one that is IMDb-rating. We can say that in this analysis that the variation of the dependent variable is explained by the coefficient of determination, we observe that the coefficient of determination is 0.63 if we convert it into a percentage we obtain that it is equal to 63.65% and we approach 64%, with which which we affirm that it is equal to 64, so this value is the influence that the IMDb ratings generated on the ratings of rotten tomatoes
The percentage of variability in Rotten Tomato ratings explained by the changes in IMDb ratings is represented by the R-squared value of 0.64. Therefore, the correct answer is B. 0.64.
To determine the percentage of variability in Rotten Tomatoes ratings that is explained by the changes in IMDb ratings as described by the regression line, we need to look at the [tex]\( R^2 \)[/tex] value (coefficient of determination).
In the results provided:
[tex]\[R^2 = 0.63658418\][/tex]
This [tex]\( R^2 \)[/tex] value represents the proportion of variability in the dependent variable (Rotten Tomatoes ratings) that can be explained by the independent variable (IMDb ratings) in the regression model.
So, the percentage of variability in Rotten Tomato ratings that is explained by changes in IMDb ratings is:
[tex]\[R^2 = 0.63658418 = 0.64 \text{ or} 64%)\][/tex]
Therefore, the correct answer is:
b. 0.64