Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Part 4 of question e) - There is a 85% chance that the regression line will be a good predictor for the number of books

image text in transcribed

Part 4 of question e) - There is a 85% 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:Y hat = ? + ?x (please round your answer to the nearest whole number).h) Interpret the slope of the regression line in the context of the question:- As x goes up, y goes down.- For every additional movie that people watch each year, there tends to be an average decrease of 1.64 books read.- The slope has no practical meaning since people cannot read a negative number of books.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.- If some watched 0 movies per year, then that person will read 11 books this year.

image text in transcribed
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 0 9 6 5 1 6 Books 15 0 0 11 9 0 0 a. Find the correlation coefficient: r = Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Ho: ? 0 H1 : ? + 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. 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 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. 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. 12 = (Round to two decimal places) e. Interpret r2 : Given any fixed number of movies watched per year, 85% of the population reads the predicted number of books per 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 85%. 85% of all people watch about the same number of movies as they read books each year

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Advanced Engineering Mathematics

Authors: Dennis G Zill, Warren S Wright

5th Edition

1449679781, 9781449679781

More Books

Students also viewed these Mathematics questions

Question

What are the factors that shape software modeling?

Answered: 1 week ago