Question

This Question: 4 pts 5 of 5 (0 complete) This Quiz: 25 pts possible The data below are the average one-way commute times (in minutes) for selected students and the number of absences for those students during the term. Find the equation of the regression line for the given data. What would be the predicted number of absences if the commute time was 40 minutes? Is this a reasonable question? Round the predicted number of absences to the nearest whole number. Round the regression line values to the nearest hundredth. Commute time (min), X 72 85 91 90 88 98 75 100 80 Number of absences, y 3 7 10 10 8 154 155 O A 9 -0.45* +30.2748 absences; Yes, it is reasonable. OB. =0.46x - 30.27; -12 absences; No, it is not reasonable. Forty minutes is well outside the scope of the model. OC. 9-0.45X - 30.27:- 12 absences: Yes, it is reasonable OD 9 -0.45x + 30.27, 48 absences; No, it is not reasonable. Forty minutes is well outside the scope of the model.

Answer 1

Answer: x Y X * Y x² 72 3 216 5184 85 7 7225 595 910 90 10 8281 90 10 900 8100 88 8 704 77 44 98 15 1470 9604 75 4 300 5625 100 15 1500 10,000 80 5 400 6400 n29 sum of every column is ΣΧ 779 ΣΥ = 77 Elxy) and b a = = 6995, > x = 6866 3 Now find the for following equations is Ex. 2x2 - Ex. Exy n. Ex2 - (Zx)? (77) (68163) (779) (6995) 9 (68163) - (479) 200554 از۱ to 26. 28 -30.2677 6626 BD. de a = -30.27

n. EXY ZXZy b - n. 3x2 - (2x)2 9.(6995) - (779) (77) 9 (68163) - (779)2 1) = 2972 6626 O. 4485 b =0,45 substitute a and b in regression equation formula y z atb** = -30.27 + 0.445 (x) Given X = 40 y -30.25 +0.45 (40) - 30.27 + 18 ya - 12.27 No it å not reasonable nok B option -