A study was done to look at the relationship between number of movies people watch at the theater each year and the number of books that they read each year. The results of the survey are shown below. Movies 5 4 Books 9 7 5 8 4 11 8 6 7 5 6 11 4 9 6 8 9 6 3 4 a. Find the correlation coefficient: r = b. The null and alternative hypotheses for correlation are: Ho: ? = 0 H₁: ? 0 The p-value is: d. ²- = Round to 2 decimal places. Round to 4 decimal places. c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context of the study. O There is statistically significant evidence to conclude that a person who watches fewer movies will read fewer books than a person who watches fewer movies. O There is statistically significant evidence to conclude that there is a correlation between the number of movies watched per year and the number of books read per year. Thus, the regression line is useful. O There is statistically significant evidence to conclude that a person who watches more movies will read fewer books than a person who watches fewer movies. O There is statistically insignificant evidence to conclude that there is a correlation between the number of movies watched per year and the number of books read per year. Thus, the use of the regression line is not appropriate. (Round to two decimal places)
A study was done to look at the relationship between number of movies people watch at the theater each year and the number of books that they read each year. The results of the survey are shown below. Movies 5 4 Books 9 7 5 8 4 11 8 6 7 5 6 11 4 9 6 8 9 6 3 4 a. Find the correlation coefficient: r = b. The null and alternative hypotheses for correlation are: Ho: ? = 0 H₁: ? 0 The p-value is: d. ²- = Round to 2 decimal places. Round to 4 decimal places. c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context of the study. O There is statistically significant evidence to conclude that a person who watches fewer movies will read fewer books than a person who watches fewer movies. O There is statistically significant evidence to conclude that there is a correlation between the number of movies watched per year and the number of books read per year. Thus, the regression line is useful. O There is statistically significant evidence to conclude that a person who watches more movies will read fewer books than a person who watches fewer movies. O There is statistically insignificant evidence to conclude that there is a correlation between the number of movies watched per year and the number of books read per year. Thus, the use of the regression line is not appropriate. (Round to two decimal places)
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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Transcribed Image Text:**Study Overview**
A study was conducted to investigate the relationship between the number of movies people watch at the theater each year and the number of books they read each year. The survey results are as follows:
| Movies | 5 | 4 | 5 | 4 | 8 | 6 | 5 | 4 | 6 | 8 | 9 |
|--------|---|---|---|---|---|---|---|---|---|---|---|
| Books | 9 | 7 | 8 | 11| 7 | 6 | 11| 9 | 6 | 3 | 4 |
**Tasks**
a. **Find the correlation coefficient**: \( r = \) _______ (Round to 2 decimal places.)
b. **The null and alternative hypotheses for correlation are:**
- \( H_0: \) ___ \( = 0 \)
- \( H_1: \) ___ \( \neq 0 \)
**The p-value is:** _______ (Round to 4 decimal places.)
c. **Use a level of significance of \( \alpha = 0.05 \) to state the conclusion of the hypothesis test in the context of the study.**
Choose the appropriate conclusion:
- There is statistically significant evidence to conclude that a person who watches fewer movies will read fewer books than a person who watches fewer movies.
- There is statistically significant evidence to conclude that there is a correlation between the number of movies watched per year and the number of books read per year. Thus, the regression line is useful.
- There is statistically significant evidence to conclude that a person who watches more movies will read fewer books than a person who watches fewer movies.
- There is statistically insignificant evidence to conclude that there is a correlation between the number of movies watched per year and the number of books read per year. Thus, the use of the regression line is not appropriate.
d. **\( r^2 = \)** _______ (Round to two decimal places.)
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