Critics of television often refer to the detrimental effects that all the violence shown on television has on children. However, there may be another problem. It may be that watching television also reduces the amount of physical exercise, causing weight gains. A sample of 15 10-year-old children was taken. The number of pounds each child was overweight was recorded (a negative number indicates the child is underweight). In addition, the number of hours of television viewing per week was also recorded. These data are listed here. Television 42 34 25 35 37 38 31 33 Overweight 18 6 0 −1 13 14 7 7 Television 19 29 38 28 29 36 18 Overweight −9 8 8 5 3 14 −7 a) Draw the scatter diagram. b) Calculate the sample regression line and describe what the coefficients tell you about the relationship between the two variables.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 11CYU
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Critics of television often refer to the detrimental effects that all the violence shown on
television has on children. However, there may be another problem. It may be that
watching television also reduces the amount of physical exercise, causing weight gains. A
sample of 15 10-year-old children was taken. The number of pounds each child was
overweight was recorded (a negative number indicates the child is underweight). In
addition, the number of hours of television viewing per week was also recorded. These
data are listed here.
Television 42 34 25 35 37 38 31 33
Overweight 18 6 0 −1 13 14 7 7
Television 19 29 38 28 29 36 18
Overweight −9 8 8 5 3 14 −7
a) Draw the scatter diagram.
b) Calculate the sample regression line and describe what the coefficients tell you
about the relationship between the two variables.

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