study was done to look at the relationship between number of movies people watch at the theater each ear and the number of books that they read each year. The results of the survey are shown below. Movies Books 17 10 3 10 4 169 13 004 06 10 00 a. Find the correlation coefficient: r b. The null and alternative hypotheses for correlation are: Ho: ?= 0 H₁: ? 0 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. 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. 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 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. (Round to two decimal places)
study was done to look at the relationship between number of movies people watch at the theater each ear and the number of books that they read each year. The results of the survey are shown below. Movies Books 17 10 3 10 4 169 13 004 06 10 00 a. Find the correlation coefficient: r b. The null and alternative hypotheses for correlation are: Ho: ?= 0 H₁: ? 0 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. 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. 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 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. (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
Related questions
Question
![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
Books
17 10 3 10 4 16 9
13 004 06 10 00
a. Find the correlation coefficient: r =
b. The null and alternative hypotheses for correlation are:
Ho: P = 0
H₁: ?
0
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.
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 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.
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.
d. ² =
(Round to two decimal places)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F43db1c21-26d3-473a-8503-cd8e5f43a3f8%2F084551ec-6460-4ea4-9595-ca60ff3cb50e%2Fg1xe0cm_processed.jpeg&w=3840&q=75)
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
Books
17 10 3 10 4 16 9
13 004 06 10 00
a. Find the correlation coefficient: r =
b. The null and alternative hypotheses for correlation are:
Ho: P = 0
H₁: ?
0
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.
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 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.
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.
d. ² =
(Round to two decimal places)
![e. Interpret ¹²:
O 79% of all people watch about the same number of movies as they read books each year.
O Given any fixed number of movies watched per year, 79% of the population reads the predicted
number of books per 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
79%.
There is a 79% 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.
f. The equation of the linear regression line is:
ŷ
(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 7 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:
The slope has no practical meaning since people cannot read a negative number of books.
For every additional movie that people watch each year, there tends to be an average
decrease of 1.23 books read.
As x goes up, y goes down.
i. Interpret the y-intercept in the context of the question:
The y-intercept has no practical meaning for this study.
The best prediction for a person who doesn't watch any movies is that they will read 11 books
each year.
The average number of books read per year is predicted to be 11 books.
O If someone watches 0 movies per year, then that person will read 11 books this year.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F43db1c21-26d3-473a-8503-cd8e5f43a3f8%2F084551ec-6460-4ea4-9595-ca60ff3cb50e%2Fq2ypqgq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:e. Interpret ¹²:
O 79% of all people watch about the same number of movies as they read books each year.
O Given any fixed number of movies watched per year, 79% of the population reads the predicted
number of books per 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
79%.
There is a 79% 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.
f. The equation of the linear regression line is:
ŷ
(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 7 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:
The slope has no practical meaning since people cannot read a negative number of books.
For every additional movie that people watch each year, there tends to be an average
decrease of 1.23 books read.
As x goes up, y goes down.
i. Interpret the y-intercept in the context of the question:
The y-intercept has no practical meaning for this study.
The best prediction for a person who doesn't watch any movies is that they will read 11 books
each year.
The average number of books read per year is predicted to be 11 books.
O If someone watches 0 movies per year, then that person will read 11 books this year.
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