Use the following information for questions:
Data from a sample of 10 student is used to find a regression equation relating y = score on a 100-point exam to x = score on a 10-point quiz. The least squares regression equation is $\hat{y}$ = 35 + 6 x. The standard error of the slope is 2. The following hypotheses are tested:
H 0 :$β_1=0$
H a :$β_1≠0$
-What is the p-value for the test? (Table A.3 or its equivalent needed.)
A) 0.009
B) 0.018
C) 0.080
D) None of the above

Question

Use the following information for questions:
 Data from a sample of 10 student is used to find a regression equation relating y = score on a 100-point exam to x = score on a 10-point quiz. The least squares regression equation is $\hat{y}$ = 35 + 6 x. The standard error of the slope is 2. The following hypotheses are tested:
H 0 :$β_1=0$ 
H a :$β_1≠0$
-What is the p-value for the test? (Table A.3 or its equivalent needed.)
A) 0.009
B) 0.018
C) 0.080
D) None of the above

Quizplus · Accepted Answer

The test statistic for the slope is calculated as $t = \frac{b_1}{SE(b_1)} = \frac{6}{2} = 3$. With 8 degrees of freedom (n-2 = 10-2), the p-value for a two-tailed test with t = 3 is approximately 0.018.

Use the Following Information for Questions: Data from a Sample

Use the Following Information for Questions:
Data from a Sample