6.a
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.
6.a
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