Question: 16. Performing simple linear regression by hand Suppose you are using the following simple linear regression model to investigate the effect of studying on exam scores: score = Bo + B hours + u where score = number of points earned (out of 100) hours = number of hours spent studying u = error term You plan to calculate, by hand, a simple OLS regression of

16. Performing simple linear regression by hand Suppose you are using the following simple linear regression model to investigate the effect of studying on exam scores: score = Bo + B hours + u where score = number of points earned (out of 100) hours = number of hours spent studying u = error term You plan to calculate, by hand, a simple OLS regression of score on hours score = Bo + B hours). You collect a sample of five observations that is summarized in the following table: obsno name hours (x) score (y) 80 1 Brian 5 2 Crystal 4 80 Edison obsno name hours (x) score (y) 1 Brian 5 80 2 Crystal 4 80 3 Edison 2 60 4 Hilary 1 65 5 Kevin 3 75 Given the information in the preceding table, I = and y = Using the preceding data, fill in all of the missing values from the following table. hours (x) scores (y) (x-7) (y-7) (x-7)(y-7) (x - 72 5 80 4 80 2 60 1 65 3 75 Using the preceding data, fill in all of the missing values from the following table. hours (x) scores (y) (x - 2) (y - y) (x - x)(y- y) (x - 2)2 5 80 4 80 2 60 1 65 3 75 Given the information in the preceding table, (xi - x)(yi - y) = i=1 n Given the information in the preceding table, 3 (xi – 7)2 = i=1 § (;=#)(y-v) i=1 Bi is estimated to be: Bi Given the information in the preceding table, ßi = Bo is estimated to be: Bo = 5 - Biā. Given the information in the preceding table, Bo