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 2 0 6 2 2 10 2 6 7 1 Books 12 14 8 10 8 5 12 5 5 15 Interpret r2r2 : There is a 75% 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 75%. Given any fixed number of movies watched per year, 75% of the population reads the predicted number of books per year. 75% of all people watch about the same number of movies as they read books each year. The equation of the linear regression line is: ˆyy^ = + xx (Please show your answers to two decimal places) Use the model to predict the number of books read per year for someone who watches 2 movies per year. Books per year = (Please round your answer to the nearest whole number.) 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 1.02 books read. As x goes up, y goes down. 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 13 books each year. If someone watches 0 movies per year, then that person will read 13 books this year. The average number of books read per year is predicted to be 13 books.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 15PPS

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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	2	0	6	2	2	10	2	6	7	1
Books	12	14	8	10	8	5	12	5	5	15

Interpret r2r2 :
- There is a 75% 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 75%.
- Given any fixed number of movies watched per year, 75% of the population reads the predicted number of books per year.
- 75% of all people watch about the same number of movies as they read books each year.
The equation of the linear regression line is:
ˆyy^ = + xx (Please show your answers to two decimal places)
Use the model to predict the number of books read per year for someone who watches 2 movies per year.
Books per year = (Please round your answer to the nearest whole number.)
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 1.02 books read.
- As x goes up, y goes down.
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 13 books each year.
- If someone watches 0 movies per year, then that person will read 13 books this year.
- The average number of books read per year is predicted to be 13 books.