Question

Consider the following set of ordered pairs.

x 6 1 4 3 4 0

y 5 2 5 3 4 5

Assuming that the regression equation is y=3.375 + 0.208x and that the SSE=6.9583​, test to determine if the slope is not equal to zero using α=0.10.

State the hypotheses. Choose the correct answer below.

A. H0​: β ≠0 H1​: β=0

B. H0​: β=0 H1​: β>0

C. H0​: β=0 H1​: β≠0

D. H0​: β=0 H1​: β<0

Calculate the test statistic.

t= ​(Round to two decimal places as​ needed.)

Identify the​ p-value.

​p-value= ​(Round to three decimal places as​ needed.)

State the conclusion. Choose the correct answer below.

A. Do not reject H0. There is sufficient evidence to conclude that the regression slope is not equal to zero.

B. Reject H0. There is sufficient evidence to conclude that the regression slope is not equal to zero.

C. Reject H0. There is insufficient evidence to conclude that the regression slope is not equal to zero.

D. Do not reject H0. There is insufficient evidence to conclude that the regression slope is not equal to zero.

Answer 1

The statistical software output for this problem is :

Option C is correct.

Test statistics = 0.77

P-value = 0.482

Option D is correct .