Given are five observations for two variables,X and Y.

Given are five observations for two variables, x and y. C 1 2 3 4 5 yi 4 7 7 10 14 The estimated regression equation for these data is y = 1.5 + 2.3x. a. Compute SSE, SST, and SSR using the following equations (to 1 decimal). SSE = _ (yi - v.)2 SST = > (9 - 7)2 SSR = SSE SST SSR b. Compute the coefficient of determination z (to 3 decimals). Does this least squares line provide a good fit? Yes, the least squares line provides a very good fit c. Compute the sample correlation coefficient (to 4 decimals).The following data show the brand, price (5), and the overall score for six stereo headphones that were tested by Consumer Reports {Consumer Reports website). The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from [I (lowest) to 10!] (highest). The estimated regression equation for these data is Q = 23.1940 + 0.31812: , where .'o : price {3) and y : overall score. Brand Price ($) Score Bose 180 76 Scullcandy 150 71 Kass 95 61 Fhillipst'Neill 70 56 Bench 1'0 40 JVC 35 26 a. Compute SET, SSH, and SSE (to 3 decimals). SST = SSR = SSE = Ia. Compute the coefficient of determination l"2 (to 3 decimals). ,2 = Comment on the goodness of t. Hint: If 1'2 is greater than 0.70, the estimated regression equation provides a good t. The least squares line a good fit as proportion of the variability in y has been explained by the least squares line. c. What is the value of the sample correlation coefcient [to 3 decimals)? rn=