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. 4 7 10 8 Movies Books 10 11 11 8 5 a. Find the correlation coefficient: r = Round to 2 decimal places. b. p (Round to two decimal places) C Interpret r" :

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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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.
6 99
Μονies
Books
10 5 10
8 11
11| 8 5 8
a. Find the correlation coefficient: r=
Round to 2 decimal places.
b. r² =
(Round to two decimal places)
C. Interpret
O There is a 72% 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 72% 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, 72% 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 72%.
d. The equation of the linear regression line is:
(Please show your answers to two decimal places)
e. Use the model to predict the number of books read per year for someone who watches 6
movies per year.
Books per year=
(Please round your answer to the nearest whole number.)
CBook Pro
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F1
F3
F4
F5
F6
F7
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23
$
1
2
Q
W
R
Y
tab
S
F
G
s lock
I
< cO
D
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. 6 99 Μονies Books 10 5 10 8 11 11| 8 5 8 a. Find the correlation coefficient: r= Round to 2 decimal places. b. r² = (Round to two decimal places) C. Interpret O There is a 72% 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 72% 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, 72% 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 72%. d. The equation of the linear regression line is: (Please show your answers to two decimal places) e. Use the model to predict the number of books read per year for someone who watches 6 movies per year. Books per year= (Please round your answer to the nearest whole number.) CBook Pro esc F1 F3 F4 F5 F6 F7 @ 23 $ 1 2 Q W R Y tab S F G s lock I < cO D
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