Suppose the Sherwin-Williams Company is interested in developing a simple regression model with paint sales (Y) as the dependent variable and selling price (P) as the independent variable. Complete the following worksheet and then use it to determine the estimated regression line. Sales Region i 1 2 3 4 5 6 7 8 9 10 Total Selling Price ($/Gallon) Ii 15 13.5 16.5 14.5 17 16 13 18 12 15.5 151 Regression Parameters Slope (8) Intercept (a) Sales (x 1000 Gal) Yi 160 220 140 190 120 160 200 150 210 190 1,740 Estimations Tiyi 2,400 2,970 2,310 2,755 2,040 2,560 2,600 2,700 2,520 2,945 25,800 225 182.25 272.25 210.25 2 In words, for a dollar increase in the selling price, the expected sales will 25,600 48,400 19,600 36,100 14,400 25,600 40,000 289 256 169 324 144 240.25 2,312 286,800 22,500 44,100 36,100 by gallons in a given sales region.
Suppose the Sherwin-Williams Company is interested in developing a simple regression model with paint sales (Y) as the dependent variable and selling price (P) as the independent variable. Complete the following worksheet and then use it to determine the estimated regression line. Sales Region i 1 2 3 4 5 6 7 8 9 10 Total Selling Price ($/Gallon) Ii 15 13.5 16.5 14.5 17 16 13 18 12 15.5 151 Regression Parameters Slope (8) Intercept (a) Sales (x 1000 Gal) Yi 160 220 140 190 120 160 200 150 210 190 1,740 Estimations Tiyi 2,400 2,970 2,310 2,755 2,040 2,560 2,600 2,700 2,520 2,945 25,800 225 182.25 272.25 210.25 2 In words, for a dollar increase in the selling price, the expected sales will 25,600 48,400 19,600 36,100 14,400 25,600 40,000 289 256 169 324 144 240.25 2,312 286,800 22,500 44,100 36,100 by gallons in a given sales region.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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