Many college students obtain college degree credits by demonstrating their proficiency on exams developed as part of the College Level Examination Program (CLEP). Based on their scores on the College Qualification Test (CQT), it is helpful if students could predict their scores on the corresponding portion of the CLEP Exam. Data on x = Total CQT score and y = Mathematical CLEP score, courtesy of Richard W. Johnson, are summarized as

(a) Obtain the equation of the least squares regression line.
(b) TestH₀ :β̂₁ = 2.9againstthe alternative H₁:β̂₁ ≥ 2.9. Take α = .10.
(c) Estimate the expected CLEP score if the Total CQT = 170. Set a 95% confidence interval for this expected value.
(d) Find a 95% prediction interval for the CLEP score of a student whose Total CQT = 170.

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154.7 n = 20 y = 616.1 x = 154.7 Σω - *)(y – 5) = 41914.6 x) = 11262.2 - *) - 5) = 225898 Σ… Σω