Statistics question needed

Question

The following output from a standard regression program is used in this question.

The regression equation is Y = 0.78 + 1.03 X

Predictor	Coef	SE Coef	T	P
Constant	0.784	2.293	0.34	0.741
X	1.0316	0.1975	5.22	0.001

 

Analysis of Variance

Source	DF	SS	MS	F	P
Regression	1	370.35	370.35	27.29	0.001
Residual Error	8	108.55	13.57
Total	9	478.90

 

 

 

 

Select the best answer.

Question 46 options:

	the slope term is significantly different from zero at the .01 level of significance
	the sample size was 10 for the data set used in this regression
	the intercept term is significantly different from zero at the .01 level of significance
	answers a, b, and c are all correct
	answers a and b are correct, but not c

Answer 1

y = 0.78 + 1.03x

The slope term is significantly different from zero at the 1% level of significance (α = 0.01) because the t-statistic is greater than its critical value (5.22 > 2.33).

In this case, this data has a sample size of at least 10. More data points means you will create an accurate result.

The intercept term is not significantly different from zero at the 1% level of significance (α = 0.01) because the t-statistic is less than its critical value (0.34 < 2.33). This doesn't mean anything when dealing with the hypothesis testing of any kind.

Answers a) and b) are the correct answers.