Question 9 (10 marks)

Several studies have found that the amount of time with which shoppers browse internet retailers is related is linearly related to the age of the shopper. Data on age and amount of time (i.e., time in minutes) were collected from a random sample of 13 shoppers. Using simple linear regression some of the statistics produced, assuming the correct model is

time =_o +₁(age) +

and the assumptions for simple linear regression are correct:

b₀ = 627.1 b₁ = -8.84 R² = .710 SE(b₁) = 1.88

Based on the above information, is there sufficient evidence, at the .01 level of significance, that there is a negative linear relationship between time and age of the shopper? When answering this question, complete the following (showing your work).

Hypotheses

Test statistic

Decision rule (in terms of the test statistic)

p-value

Conclusion (2 part - reject or don't reject, what this specifically means in terms of the question asked)