Regression output for Equestrian Estates is shown below. At alpha = 0.05, can we
ID: 3217330 • Letter: R
Question
Regression output for Equestrian Estates is shown below. At alpha = 0.05, can we reject the null hypothesis that the slope of the population regression line is zero? ["Yes" means the null hypothesis is rejected; "no" means the null hypothesis is not rejected.]
EQUESTRIAN ESTATES
Regression Statistics
Multiple R
0.8287
R Square
0.6868
Adjusted R Square
0.6421
Standard Error
59.6208
Observations
9.0000
ANOVA
df
SS
MS
F
Regression
1
54562.44907
54562.44907
15.34966612
Residual
7
24882.43981
3554.634259
Total
8
79444.88889
Coefficients
Standard Error
t Stat
P-value
Intercept
-140.92
123.31
-1.14
0.29
SQ FT (100'S)
15.89
4.06
3.92
0.01
A. No, because R Square is too small.
B. No, because the Standard Error is too large.
C. Yes, because the slope of the least-squares line is 15.89, not zero.
D. Yes, because 0.01 < 0.05.
E. Can't be determined from the information given.
EQUESTRIAN ESTATES
Regression Statistics
Multiple R
0.8287
R Square
0.6868
Adjusted R Square
0.6421
Standard Error
59.6208
Observations
9.0000
ANOVA
df
SS
MS
F
Regression
1
54562.44907
54562.44907
15.34966612
Residual
7
24882.43981
3554.634259
Total
8
79444.88889
Coefficients
Standard Error
t Stat
P-value
Intercept
-140.92
123.31
-1.14
0.29
SQ FT (100'S)
15.89
4.06
3.92
0.01
Explanation / Answer
Yes, we can reject the null hypothesis that the slope of the population regression line is zero because p - value i.e. 0.01 is less than 0.05.
Option D is correct.
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