Suppose a simple linear regression analysis provides the following results: b 0 = 8.0, b 1 = 14.0, s b 0 = 1.0, s b 1 = 4.0, SST = 67.36, SSE = 52.0...

using a 10% level of significance.

State the decision rule.

Reject H0 if p < 0.05.Do not reject H0 if p ≥ 0.05.Reject H0 if p < 0.10.Do not reject H0 if p ≥ 0.10.Reject H0 if p > 0.10.Do not reject H0 if p ≤ 0.10.Reject H0 if p > 0.05.Do not reject H0 if p ≤ 0.05.

State the test statistict. (Round your answer to two decimal places.)

t=

3.500

State thepvalue. (Round your answer to four decimal places.)

pvalue = ?

State your decision.

Reject the null hypothesis. There appears to be a linear relationship between x and y.Do not reject the null hypothesis. There appears to be a linear relationship between x and y.Reject the null hypothesis. There does not appear to be a linear relationship between x and y.Do not reject the null hypothesis. There does not appear to be a linear relationship between x and y.

(b) What proportion of the variation inyis explained byx? (Enter your answer as a proportion and round your answer to four decimal places.)

R2=

(c) What is the typical sized error of prediction for this model? (Enter your answer to three decimal places.)