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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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