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 7. 8. Books 9. 15 11 13 14

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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I need help with parts a, b and d
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
9.
8.
Books
6.
15
11
7.
13
14
a. Find the correlation coefficient: r =
Round to 2 decimal places.
b. The null and alternative hypotheses for correlation are:
Ho: (? v
H: ?
= 0
The p-value is:
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.
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 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.
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.
d. r2 =
(Round to two decimal places)
e. Interpret r2
There is a large variation in the number books
look at people who watch a fixed number of movies each year, this variation on average
is reduced by 68%.
eople read each year, but if you only
Transcribed Image Text: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 9. 8. Books 6. 15 11 7. 13 14 a. Find the correlation coefficient: r = Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Ho: (? v H: ? = 0 The p-value is: 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. 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 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. 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. d. r2 = (Round to two decimal places) e. Interpret r2 There is a large variation in the number books look at people who watch a fixed number of movies each year, this variation on average is reduced by 68%. eople read each year, but if you only
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