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The following scatterplot and SPSS output represent data collected on 89 middle-aged people. The
relationship between body weight and percent body fat is to be studied.
40
De scriptive Statistics
30
% body fat
W eight in pounds
20
Mean
17.6371
177.0354
Variance
67.296
844.522
Model Summary
10
% body fat
N
89
89
Model
1
0
R
.5844
R Square
.3416
Adjusted
R Square
.3340
-10
100
120
140
160
180
200
Regres sion
Residual
Total
240
260
280
ANOVA
Weight in pounds
Model
1
220
Sum of
Squares
2022.828
3899.180
5922.008
df
1
87
88
Mean
Square
2022.828
44.818
F
45.134
Sig.
.000
Coefficients
Model
1
(Constant)
Weight in pounds
Unstandardized
Coefficients
B
Std. Error
-11.570
4.405
.165
.025
Standardized
Coefficients
Beta
.584
t
-2.627
6.718
Sig.
.0102
.0000
30.
What is the equation of the least squares regression line?
31.
What is the value of the correlation between body fat and body weight?
32.
Let  be the population correlation between body fat and body weight. What is the value
of the t statistic for testing the hypotheses H0: = 0 versus Ha:  ≠ 0?
33.
Is the slope significantly different from zero? Include the value of the test statistic and the
corresponding p-value in your answer.
34.
What is the value of the estimate for , the standard deviation of the deviations i?
Std. Error of
the Estimate
6.6946
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