Yessica thought that there was a correlation between the amount of time students slept the eveningbefore their final exam and their final exam grade. She took an SRS of 5 students in her class andrecorded the sleep time the evening before their final exam, and their final exam score.Let the sleep time the evening before the final exam represents the explanatory variable, and the finalexam score be the response variable. Below is a sample data set.1213r =4x (hour)593865Calculate the sample correlation coefficient (r) to three decimal places.Enter an integer or decimal number [more..]Why would we expect the correlation coefficient to be positive?O There is no change in exam score to sleep timeAs the sleep time decreases, exam score increasesAs the sleep time increases, exam score increasesAs the sleep time increases, exam score decreases331y (score)64945410075

Answered: Image /qna-images/answer/1db61dcc-68bd-484d-b57e-5ad434266206.jpg

Answered: 1 2 13 r= 4 5 9 3 8 6 5 Calculate the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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What is the relationship between the attendance at a major league ball game and the total number of runs scored? Attendance figures (in thousands) and the runs scored for 9 randomly selected games are shown below. Attendance 45 38 55 56 58 58 35 17 56 Runs 7 5 11 7 12 9 8 1 9 Find the correlation coefficient: r=r= Round to 2 decimal places. The null and alternative hypotheses for correlation are:H0:H0: == 0H1:H1: ≠≠ 0 The p-value is: (Round to four decimal places) Use a level of significance of α=0.05α=0.05 to state the conclusion of the hypothesis test in the context of the study. There is statistically significant evidence to conclude that there is a correlation between the attendance of baseball games and the runs scored. Thus, the regression line is useful. There is statistically significant evidence to conclude that a game with higher attendance will have fewer runs scored than a game with lower attendance. There is statistically insignificant…
A grocery store manager did a study to look at the relationship between the amount of time (in minutes) customers spend in the store and the amount of money (in dollars) they spend. The results of the survey are shown below. Time 30 14 23 25 21 28 8 Money 127 80 98 123 77 106 32 Find the correlation coefficient: r=r= Round to 2 decimal places. The null and alternative hypotheses for correlation are:H0:H0: ? ρ r μ == 0H1:H1: ? r ρ μ ≠≠ 0 The p-value is: (Round to four decimal places) Use a level of significance of α=0.05α=0.05 to state the conclusion of the hypothesis test in the context of the study. There is statistically significant evidence to conclude that a customer who spends more time at the store will spend more money than a customer who spends less time at the store. There is statistically significant evidence to conclude that there is a correlation between the amount of time customers spend at the store and the amount of money that they spend at…
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A grocery store manager did a study to look at the relationship between the amount of time (in minutes) customers spend in the store and the amount of money (in dollars) they spend. The results of the survey are shown below. Time 22 16 15 19 7 8 14 10 Money 81 55 41 60 41 21 35 54 Find the correlation coefficient: r=r= Round to 2 decimal places. The null and alternative hypotheses for correlation are:H0:H0: ? ρ r μ ? = 0H1:H1: ? μ r ρ ? ≠ 0 The p-value is: _______ (Round to four decimal places) Use a level of significance of α=0.05α=0.05 to state the conclusion of the hypothesis test in the context of the study. There is statistically insignificant evidence to conclude that a customer who spends more time at the store will spend more money than a customer who spends less time at the store. There is statistically significant evidence to conclude that a customer who spends more time at the store will spend more money than a customer who spends less time at the…
Using technology, what is the correlation coefficient? The weight (in pounds) and height (in inches) for a child were measured every few months over a two-year period. The results are given in the table. O -0.997 O -0.503 Weight (x) 8. 12 18 24 30 32 35 37 40 O 0.503 Height (y) 22 23 26 30 32 33 5 36 38 O 0.997
A food truck owner recorded the temperature at noon, in degrees Fahrenheit, and the number of bowls of soup sold during the lunch hour for a random sample of 5 days. The data are shown in the following table. Temperature (degrees Fahrenheit) 57 75 43 68 67 Number sold 17 12 20 8 13 The mean temperature of the sample is 62 degrees Fahrenheit, and the mean number sold is 14. What is the correlation between the temperature and the number sold? A -0.85 B -0.68 0.68 D 0.73 E 0.85
The rankings of a sample of professional golfers in both driving distance and putting are shown. Driving Golfer Putting Distance Golfer A 1 5 Golfer B 5 10 Golfer C 4 6 Golfer D 9 2 Golfer E 6 7 Golfer F 10 3 Golfer G 2 8 Golfer H 3 9 Golfer I 7 4 Golfer J 8 1 What is the rank correlation between driving distance and putting for these golfers? (Round your answer to three decimal places.) r₂ = Test for significance of the correlation coefficient at the 0.10 level of significance. State the null and alternative hypotheses. H₁: P₁ = 0 H₂: P₂ #0 OH :P #0 H₂:0₂ = 0 OH:P >0 H₁₂1 P₂ = 0 OHP, 20 H₂: P 0 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value =
Right arm 102 101 94 79 79 Left arm 175 169 182 146 144 If the sample data were to result in the scatterplot shown here, what is the value of the linear correlation coefficient r?
A grocery store manager did a study to look at the relationship between the amount of time (in minutes) customers spend in the store and the amount of money (in dollars) they spend. The results of the survey are shown below. Time 10 8 6 13 19 18 27 10 7 Money 58 25 41 51 84 81 87 45 15 Find the correlation coefficient: r=r= Round to 2 decimal places. The null and alternative hypotheses for correlation are:H0:H0: == 0H1:H1: ≠≠ 0 The p-value is: (Round to four decimal places) Use a level of significance of α=0.05α=0.05 to state the conclusion of the hypothesis test in the context of the study. There is statistically insignificant evidence to conclude that there is a correlation between the amount of time customers spend at the store and the amount of money that they spend at the store. Thus, the use of the regression line is not appropriate. There is statistically significant evidence to conclude that there is a correlation between the amount of time…
Listed below are paired data consisting of amounts spent on advertising (in millions of dollars) and the profits (in millions of dollars). Determine if there is a significant linear correlation between advertising cost and profit Use a significance level of 0.01 and round all values to 4 decimal places. Advertising Cost Profit 3 21 4 16 5 29 17 7 28 8 21 Ho: p = 0 Ha: p +0 Find the Linear Correlation Coefficient r= Find the p-value p-value = The p-value is Less than (or equal to) a OGreater than a The p-value leads to a decision to Do Not Reject Ho OReject Ho OAccept Ho

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