What percentage of the variation in the observed stopping distances is explained by a linear relationship between speed and stopping distance?
Group of answer choices
98.5%
16.1%
96.7%
65.9%
96.9%
Homework Answers
We know that, the percentage of variation in the dependent variable which is explained by the linear relationship is denoted by R square.
Here, R square = 0.969492571
= 96.94%
Therefore, the percentage of the variation in the observed stopping distances which is explained by a linear relationship between speed and stopping distance is :
Answer : 96.9%
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Regression Statistics
Multiple R
95.70928%
R Square
91.60266%
Adjusted R Square
90.20310%
Standard Error
6.513645838
Observations
8
df
SS
MS
F
Regression
1
2,776.934507
2,776.934507
65.45116
Residual
6
254.5654926
42.4275821
Total
7
3031.5
Coefficients
Standard Error
t Stat
p-Value
Intercept
63.06927886
5.643282415
11.17599195
3.06E-05
Speed
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2.296159651
8.090189183...
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Wesley thinks his heartrate will increase as he increases his
running speed. To see if this relationship exists, he records eight
different speeds and models it with a scatterplot and regression
output.
Regression Statistics
Multiple R
95.70928%
R Square
91.60266%
Adjusted R Square
90.20310%
Standard Error
6.513645838
Observations
8
df
SS
MS
F
Regression
1
2,776.934507
2,776.934507
65.45116
Residual
6
254.5654926
42.4275821
Total
7
3031.5
Coefficients
Standard Error
t Stat
p-Value
Intercept
63.06927886
5.643282415
11.17599195
3.06E-05
Speed
18.57636597
2.296159651
8.090189183...
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