Here is a scatter plot for a set of paired data. Which of the following options is the best estimate for the correlation coefficient? -0.95 -0.4 O0.4 O0.95 A regression analysis was performed to determine if there is a relationship between hours of TV watched per day (x) and number of sit ups a person can do (y). Researchers looked at a large sample of data, with people who ranged from watching no TV at all to watching nine hours per day. The results they found were: r = - 0.933 0.689a + 26.805 a) Use this to predict the number of sit ups a person who watches 3.5 hours of TV can do. We predict that they can do sit ups. b) For what values of hours of TV watched per day will this regression line not provide good predictions of how many sit ups a person can do? Explain your reasoning.

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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Here is a scatter plot for a set of paired data.
Which of the following options is the best estimate for the
correlation coefficient?
-0.95
O-0.4
O0.4
0.95
A regression analysis was performed to determine if there
is a relationship between hours of TV watched per day (x)
and number of sit ups a person can do (y).
Researchers looked at a large sample of data, with people
who ranged from watching no TV at all to watching nine
hours per day. The results they found were:
r = - 0.933
ŷ = - 0.689x + 26.805
a) Use this to predict the number of sit ups a person who
watches 3.5 hours of TV can do.
We predict that they can do
sit ups.
b) For what values of hours of TV watched per day will this
regression line not provide good predictions of how many
sit ups a person can do? Explain your reasoning.
Next Page
Transcribed Image Text:Here is a scatter plot for a set of paired data. Which of the following options is the best estimate for the correlation coefficient? -0.95 O-0.4 O0.4 0.95 A regression analysis was performed to determine if there is a relationship between hours of TV watched per day (x) and number of sit ups a person can do (y). Researchers looked at a large sample of data, with people who ranged from watching no TV at all to watching nine hours per day. The results they found were: r = - 0.933 ŷ = - 0.689x + 26.805 a) Use this to predict the number of sit ups a person who watches 3.5 hours of TV can do. We predict that they can do sit ups. b) For what values of hours of TV watched per day will this regression line not provide good predictions of how many sit ups a person can do? Explain your reasoning. Next Page
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