A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y). The results of the regression were:ŷ=ax+b a=-0.653 b=24.658 r2=0.753424 r=-0.868 Use this to predict the number of situps a person who watches 13 hours of TV can do (to one decimal place)

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A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y).

The results of the regression were:ŷ=ax+b a=-0.653 b=24.658 r2=0.753424 r=-0.868

Use this to predict the number of situps a person who watches 13 hours of TV can do (to one decimal place)

 

 

Annual high temperatures in a certain location have been tracked for several years. Let X represent the
number of years after 2000 and Y the high temperature. Based on the data shown below, calculate the
linear regression equation using technology (each constant to 2 decimal places).
x y
5 36.25
6
34.24
7 35.93
8
35.42
9 37.71
10
38
11 38.89
12 38.18
13 38.97
14 39.86
15
39.25
The equation is ŷ =
Interpret the slope
O For each additional year, the annual high temperature will increase by 0.48 degrees on average.
O For each additional 32.67 years, the annual high temperature will increase by 1 degree on average.
For each additional 0.48 years, the annual high temperature will increase by 1 degree on average.
O For each additional year, the annual high temperature will increase by 32.67 degrees on average.
X +
Transcribed Image Text:Annual high temperatures in a certain location have been tracked for several years. Let X represent the number of years after 2000 and Y the high temperature. Based on the data shown below, calculate the linear regression equation using technology (each constant to 2 decimal places). x y 5 36.25 6 34.24 7 35.93 8 35.42 9 37.71 10 38 11 38.89 12 38.18 13 38.97 14 39.86 15 39.25 The equation is ŷ = Interpret the slope O For each additional year, the annual high temperature will increase by 0.48 degrees on average. O For each additional 32.67 years, the annual high temperature will increase by 1 degree on average. For each additional 0.48 years, the annual high temperature will increase by 1 degree on average. O For each additional year, the annual high temperature will increase by 32.67 degrees on average. X +
You generate a scatter plot using Excel. You then have Excel plot the trend line and report the equation
and the ² value. The regression equation is reported as
ŷ = -83.72x + 22.95
and the r² = 0.1444.
What is the correlation coefficient for this data set? (Round to two decimals if needed.)
> Next Question
Transcribed Image Text:You generate a scatter plot using Excel. You then have Excel plot the trend line and report the equation and the ² value. The regression equation is reported as ŷ = -83.72x + 22.95 and the r² = 0.1444. What is the correlation coefficient for this data set? (Round to two decimals if needed.) > Next Question
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