Question

Attem 45M (Same as in the Previous Question) Fifteen houses rented recently in a certain county provided the data: size of the house x (in sq. ft.) and the monthly renty (in thousands of dollars). The sample data are summarized by the following information: n=15, Ex = 16,560, y = 21.685. Exy = 28,474.85, x2 = 22,557,866, y2 = 36.93, 650 SX S2,400 The following sums were also computed: SSxy= 4,534.61, SS x = 4,275,626, SS = 5.5807 1. The sum of the squared errors SSE for the least squares regression line is: [Select) 2. Using any of the three formulds, which of the following is the coefficient of determination? [Select] 3. Which of the following is the correct interpretation based on the coefficient of determination in the previous problem? Select)

Answer 1

Solution : Givendata: 7=15, E.x = 16,560, Ey= 21.686, E. xy = 28,474.85, EXP = 22,557,866, X: 36.93, 650 4X4 2,400 SS gy = 4,534.61, SS»*- 4,276,626, SSyy = 5.5867 Ssxyt SSE - Syy SSxx SSE = 5.5807 45 34.61 4275626 : 0.7714 © BE Smye Syn. Syy 4534.612 4275626 X 5.5807 = 0.8618 86-184 0.8618 a converted into peercentage 86-% of the Vamiability in the monthly rent of the house is explained by it size.