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Summary MGMT305 HW 5 In exercise 7 a sales manager collected the fol $7.49   Add to cart

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Summary MGMT305 HW 5 In exercise 7 a sales manager collected the fol

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MGMT305HW#5Due date: April 17th, 20131. #19. In exercise 7 a sales manager collected the following data on x = annual sales and y = years of experience. The estimated regression equation for these data is (webfile: )a.Compute SST, SSR, and SSESST= SSR+SSEYearsSalesYbar80+4XSSTSSESSR-28784

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MGMT305

HW#5

Due date: April 17th, 2013

1. #19. In exercise 7 a sales manager collected the following data on x = annual sales and y =
years of experience. The estimated regression equation for these data is (webfile: sales.xls)



a. Compute SST, SSR, and SSE

SST= SSR+SSE



Years Sales Ybar 80+4X SST SSE SSR
1 80 108 84 -28 784 16
3 97 92 -11 121 25
4 92 96 -16 256 16
4 102 96 -6 36 36
6 103 104 -5 25 1
8 111 112 3 9 1
10 119 120 11 121 1
10 123 120 15 225 9
11 117 124 9 81 49
13 136 132 28 784 16
Total 2442 170 2272




b. Compute the coefficient of determination r2. Comment on the goodness of fit.

R^2=SSR/SST=2272/2442=0.9304

We see that 93.04% of the variability in y has been explained by the least squares line.

c. What is the value of the sample correlation coefficient?

=(sign of b1) = =0.9645

2. # 20. Consumer Reports provided extensive testing and ratings for more than 100 HDTVs. An
overall score, based primarily on picture quality, was developed for each model. In general, a

, higher overall score indicates better performance. The following data show the price and overall
score for the ten 42-inch plasma televisions (Consumer Reports, March006). (Web file:
PlasmaTV.xls)

a. Use these data to develop an estimated regression equation that could be used to estimate the
overall score for a 42-inch plasma television given the price.


Chart Title
80
60
f(x) = 0.012696793002916 x + 12.0174927113703
Series2
40 R² = 0.450281217652254
Axis Title Linear (Series2)
20
0
1000 2000 3000 4000 5000
Axis Title




b. Compute r2. Did the estimated regression equation provide a good fit?

R^2=0.4503=SSR/SST

0.0127X+12.01
Brand Price Score 7 YBAR SSR SSE SST
4.09252 208.022
Dell 2800 62 47.577 49.6 9 9
4.09252 29.4089
Hisense 2800 53 47.577 9 3
10.8438 5.32224
Hitachi 2700 44 46.307 5 9
47.1556 41.8220
JVC 3500 50 56.467 9 9
18.7229 0.00532
LG 3300 54 53.927 3 9
148.425 2.50588
Maxent 2000 39 37.417 5 9
Panasoni 174.689 10.1314
c 4000 66 62.817 1 9
0.26728 23.8436
Phillips 3000 55 50.117 9 9
34.0238 95.3942
Proview 2500 34 43.767 9 9
0.26728 123.587
Samsung 3000 39 50.117 9 7

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