BA 240 Yamasaki Solutions to Practice 5

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Presentation transcript:

BA 240 Yamasaki Solutions to Practice 5

DCSI Solutions to Practice 5 ( 14 pages)

DCSI Solutions to Practice 5 ( 14 pages)

DCSI Solutions to Practice 5 ( 14 pages)

DCSI Solutions to Practice 5 ( 14 pages) Coefficient of determination DCSI Solutions to Practice 5 ( 14 pages)

DCSI Solutions to Practice 5 ( 14 pages) f. Partition Sum of Squares SST = Sy2 – (Sy)2/n = Syy SSE = Sy2 – b0Sy – b1Sxy Regression (ANOVA table) Source SS df MS F Regression SSR 1 MSR MSR/MSE Error SSE N-2 MSE Total SST N-1 SSE = 480 - ( 57.913)*(50) –(-.8114)*(2986) = 7.1904 SST = Syy = 122.8571 Regression (ANOVA table) Source SS df MS F Regression 115.6631 1 115.6631 80.43 Error 7.1904 5 1.4381 Total 122.8571 6 DCSI Solutions to Practice 5 ( 14 pages)

DCSI Solutions to Practice 5 ( 14 pages)

DCSI Solutions to Practice 5 ( 14 pages)

DCSI Solutions to Practice 5 ( 14 pages) Simple Linear Regression Model: To estimate regression line, use least squares method. DCSI Solutions to Practice 5 ( 14 pages)

DCSI Solutions to Practice 5 ( 14 pages)

DCSI Solutions to Practice 5 ( 14 pages) Example: A real estate agent would like to predict selling price of a single family home based on size of house. She takes a random sample of 15 recently sold homes. House size(100sq ft) Selling Price($1000) 20 89.5 14.8 79.9 20.5 83.1 12.5 56.9 18.0 66.6 14.3 82.5 27.5 126.3 16.5 79.3 24.3 119.9 20.2 87.9 22.0 112.6 19.0 120.8 12.3 78.5 14.0 74.3 16.7 74.8 DCSI Solutions to Practice 5 ( 14 pages)

DCSI Solutions to Practice 5 ( 14 pages) Preliminary calculations: Sx = 272.6 Sx2 = 5222.24 Sxy = 25257.97 Sy = 1332.6 Sy2 = 124618.42 DCSI Solutions to Practice 5 ( 14 pages)

DCSI Solutions to Practice 5 ( 14 pages)

DCSI Solutions to Practice 5 ( 14 pages)