In exercise 7 a sales manager collected the following data o

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 y = 80 + 4x. Click on the webfile logo to reference the data. Compute SST, SSR, and SSE. SSE SST SSR Compute the coefficient of determination r^2.

Solution

Regression Analysis

r²

0.9304

n

10

r

0.9646

k

1

Std. Error

4.610

Dep. Var.

sales

ANOVA table

Source

SS

df

MS

F

p-value

Regression

2,272.0000

1  

2,272.0000

106.92

6.61E-06

Residual

170.0000

8  

21.2500

Total

2,442.0000

9  

Regression output

confidence interval

variables

coefficients

std. error

   t (df=8)

p-value

95% lower

95% upper

Intercept

80.0000

3.0753

26.013

5.12E-09

72.9082

87.0918

year

4.0000

0.3868

10.340

6.61E-06

3.1079

4.8921

SSE=170

SST =2442

SSR=2272

Coefficient of determination r² =0.9304

Regression Analysis
	r²	0.9304	n	10
	r	0.9646	k	1
	Std. Error	4.610	Dep. Var.	sales
ANOVA table
Source	SS	df	MS	F	p-value
Regression	2,272.0000	1	2,272.0000	106.92	6.61E-06
Residual	170.0000	8	21.2500
Total	2,442.0000	9
Regression output				confidence interval
variables	coefficients	std. error	t (df=8)	p-value	95% lower	95% upper
Intercept	80.0000	3.0753	26.013	5.12E-09	72.9082	87.0918
year	4.0000	0.3868	10.340	6.61E-06	3.1079	4.8921