An instructor asked
a random sample of eight students to record their study times at the beginning of a below. Complete parts (a) through (d). X 11 16 12 18 7 16
16 24 D 85 79 78 y 91 85 82 75 86 2 Σχ= 120, Σy = 661, Σxy = 9,793, Σx =
1,982, Σy = 54,801 a. Compute SST, SSR, and SSE, using the formulas, SST = Σy? - (Σy;)²/n, SSR= SST = 185.88 (Round to two decimal places as needed.) SSR = 81.78 (Round to two decimal places as needed.) SSE 104.1 (Round to two decimal places as needed.) Next question (Σxx-(Ex) (Ex)/n)² Ex² - (Ex)²/n 2 56.01% (Round to two decimal places as needed.)
d. State how useful the regression equation appears to be for making predictions. Choose the correct answer below. 1 hade a table for total hours studied (x) over 2 weeks and test score (y) at the end of the 2 weeks. The table is given and SSE = SST - SSR. 2 b. Compute the coefficient of determination, r². r² = 0.5601 (Round to four decimal places as needed.) c. Determine the percentage of variation in the observed values of the response variable explained by the regression, and interpret your answer.