d. 7² = e. Interpret ²: O Given any fixed number of movies watched per year, 76% of the population reads the predicted number of books per year. (Round to two decimal places) O There is a 76% chance that the regression line will be a good predictor for the number of books people read based on the number of movies they watch each year. There is a large variation in the number books people read each year, but if you only look at people who watch a fixed number of movies each year, this variation on average is reduced by 76%. O 76% of all people watch about the same number of movies as they read books each year. f. The equation of the linear regression line is: ŷ= + x (Please show your answers to two decimal places) g. Use the model to predict the number of books read per year for someone who watches 4 movies per year. Books per year = (Please round your answer to the nearest whole number.) h. Interpret the slope of the regression line in the context of the question: O The slope has no practical meaning since people cannot read a negative number of books. O As x goes up, y goes down. O For every additional movie that people watch each year, there tends to be an average decrease of 1.77 books read. i. Interpret the y-intercept in the context of the question: O The average number of books read per year is predicted to be 11 books. The best prediction for a person who doesn't watch any movies is that they will read 11 books each year. O If someone watches 0 movies per year, then that person will read 11 books this year. The y-intercept has no practical meaning for this study.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Only the second page please
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 1 4 3 0
Books 12 29 13
4
2
3 7
4
0
4 8
1
0
a. Find the correlation coefficient: r=
b. The null and alternative hypotheses for correlation are:
Ho? = 0
H₁: 200
The p-value is:
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.
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.
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.
(Round to two decimal places)
+
d. ² =
e. Interpret 7²:
O Given any fixed number of movies watched per year, 76% of the population reads the predicted
number of books per year.
O There is a 76 % chance that the regression line will be a good predictor for the number of books
people read based on the number of movies they watch each year.
O There is a large variation in the number books people read each year, but if you only look at
people who watch a fixed number of movies each year, this variation on average is reduced by
76%.
O 76% of all people watch about the same number of movies as they read books each year.
f. The equation of the linear regression line is:
ŷ =
x (Please show your answers to two decimal places)
g. Use the model to predict the number of books read per year for someone who watches 4 movies per
year.
Books per year =
(Please round your answer to the nearest whole number.)
h. Interpret the slope of the regression line in the context of the question:
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 1 4 3 0 Books 12 29 13 4 2 3 7 4 0 4 8 1 0 a. Find the correlation coefficient: r= b. The null and alternative hypotheses for correlation are: Ho? = 0 H₁: 200 The p-value is: 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. 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. 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. (Round to two decimal places) + d. ² = e. Interpret 7²: O Given any fixed number of movies watched per year, 76% of the population reads the predicted number of books per year. O There is a 76 % chance that the regression line will be a good predictor for the number of books people read based on the number of movies they watch each year. O There is a large variation in the number books people read each year, but if you only look at people who watch a fixed number of movies each year, this variation on average is reduced by 76%. O 76% of all people watch about the same number of movies as they read books each year. f. The equation of the linear regression line is: ŷ = x (Please show your answers to two decimal places) g. Use the model to predict the number of books read per year for someone who watches 4 movies per year. Books per year = (Please round your answer to the nearest whole number.) h. Interpret the slope of the regression line in the context of the question:
d. 7² =
e. Interpret ²:
O Given any fixed number of movies watched per year, 76% of the population reads the predicted
number of books per year.
(Round to two decimal places)
There is a 76% chance that the regression line will be a good predictor for the number of books
people read based on the number of movies they watch each year.
There is a large variation in the number books people read each year, but if you only look at
people who watch a fixed number of movies each year, this variation on average is reduced by
76%.
O 76% of all people watch about the same number of movies as they read books each year.
f. The equation of the linear regression line is:
y =
x (Please show your answers to two decimal places)
g. Use the model to predict the number of books read per year for someone who watches 4 movies per
year.
Books per year =
(Please round your answer to the nearest whole number.)
h. Interpret the slope of the regression line in the context of the question:
O The slope has no practical meaning since people cannot read a negative number of books.
O As x goes up, y goes down.
O For every additional movie that people watch each year, there tends to be an average decrease
of 1.77 books read.
i. Interpret the y-intercept in the context of the question:
O The average number of books read per year is predicted to be 11 books.
O The best prediction for a person who doesn't watch any movies is that they will read 11 books
each year.
If someone watches 0 movies per year, then that person will read 11 books this year.
O The y-intercept has no practical meaning for this study.
Hint: Helpful Video on the Linear Regression Line [+]
Helpful Video on Correlation
[+]
Helpful Video on Hypothesis Tests for Correlation [+]
Hint
Transcribed Image Text:d. 7² = e. Interpret ²: O Given any fixed number of movies watched per year, 76% of the population reads the predicted number of books per year. (Round to two decimal places) There is a 76% chance that the regression line will be a good predictor for the number of books people read based on the number of movies they watch each year. There is a large variation in the number books people read each year, but if you only look at people who watch a fixed number of movies each year, this variation on average is reduced by 76%. O 76% of all people watch about the same number of movies as they read books each year. f. The equation of the linear regression line is: y = x (Please show your answers to two decimal places) g. Use the model to predict the number of books read per year for someone who watches 4 movies per year. Books per year = (Please round your answer to the nearest whole number.) h. Interpret the slope of the regression line in the context of the question: O The slope has no practical meaning since people cannot read a negative number of books. O As x goes up, y goes down. O For every additional movie that people watch each year, there tends to be an average decrease of 1.77 books read. i. Interpret the y-intercept in the context of the question: O The average number of books read per year is predicted to be 11 books. O The best prediction for a person who doesn't watch any movies is that they will read 11 books each year. If someone watches 0 movies per year, then that person will read 11 books this year. O The y-intercept has no practical meaning for this study. Hint: Helpful Video on the Linear Regression Line [+] Helpful Video on Correlation [+] Helpful Video on Hypothesis Tests for Correlation [+] Hint
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