Complete the following worksheet and then use it to calculate the coefficient of determination. (y₁ - y)² 2.506 Xi yi ŷ 15 160 176.583 13.5 220 200.329 16.5 140 152.837 4 14.5 190 184.498 5 17 120 144.922 6 16 160 160.752 7 13 200 208.245 8 18 150 129.091 9 12 220 224.075 10 15.5 190 168.668 Total i 1 2 3 The coefficient of determination (r2) is 216.1652(3.102) 216.165 2(17.520) 425.915 2(3.102) According to the regression model, which of the following is the best estimate together with the 95 percent prediction interval of paint sales (in thousands of gallons) in a sales region where the selling price is $12.50? 425.915 2(17.520) 641.558 491.199 90.212 904.686 203.006 1,105.230 2,107.636 2,408.356 40.094 -0.58 -0.06 (yi - y)² 225.000 2,025.000 1,225.000 225.000 3,025.000 225.000 625.000 What is the price elasticity of demand at a selling price of $12.50? -0.92 625.000 2,025.000 225.000

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 70E
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Complete the following worksheet and then use it to calculate the coefficient of determination.
(ŷi - y)²
2.506
641.558
491.199
90.212
904.686
203.006
1,105.230
2,107.636
2,408.356
40.094
i
1
2
3
X₁ yi
ŷ
15 160
176.583
13.5 220 200.329
16.5 140 152.837
14.5 190 184.498
17 120
144.922
16 160 160.752
13 200
208.245
18 150 129.091
9
12 220 224.075
10 15.5 190 168.668
Total
4
5
6
7
8
The coefficient of determination (r²) is
According to the regression model, which of the following is the best estimate together with the 95 percent prediction interval of paint sales (in
thousands of gallons) in a sales region where the selling price is $12.50?
425.9152(17.520)
216.165 2(3.102)
216.1652(17.520)
425.915 2(3.102)
What is the price elasticity of demand at a selling price of $12.50?
-0.58
(y₁ - y)²
225.000
2,025.000
1,225.000
225.000
3,025.000
225.000
625.000
625.000
2,025.000
225.000
-0.06
-0.92
Transcribed Image Text:Complete the following worksheet and then use it to calculate the coefficient of determination. (ŷi - y)² 2.506 641.558 491.199 90.212 904.686 203.006 1,105.230 2,107.636 2,408.356 40.094 i 1 2 3 X₁ yi ŷ 15 160 176.583 13.5 220 200.329 16.5 140 152.837 14.5 190 184.498 17 120 144.922 16 160 160.752 13 200 208.245 18 150 129.091 9 12 220 224.075 10 15.5 190 168.668 Total 4 5 6 7 8 The coefficient of determination (r²) is According to the regression model, which of the following is the best estimate together with the 95 percent prediction interval of paint sales (in thousands of gallons) in a sales region where the selling price is $12.50? 425.9152(17.520) 216.165 2(3.102) 216.1652(17.520) 425.915 2(3.102) What is the price elasticity of demand at a selling price of $12.50? -0.58 (y₁ - y)² 225.000 2,025.000 1,225.000 225.000 3,025.000 225.000 625.000 625.000 2,025.000 225.000 -0.06 -0.92
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