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(Solution Download) Study the Minitab regression output that follows. How many predictors are there?

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Study the Minitab regression output that follows. How many predictors are there? What is the equation of the regression model? Using the key statistics discussed in this chapter, discuss the strength of the model and the predictors.

 

Regression Analysis: Y versus X1, X2, X3, X4

 

The regression equation is

 

Y = - 55.9 + 0.0105 X1 - 0.107 X2 + 0.579 X3 - 0.870 X4

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Predictor

 

 

Coef

 

 

SE Coef

 

 

T

 

 

P

 

 

Constant

 

 

-55.93

 

 

24.22

 

 

-2.31

 

 

0.025

 

 

X1

 

 

0.01049

 

 

0.02100

 

 

0.50

 

 

0.619

 

 

X2

 

 

-0.10720

 

 

0.03503

 

 

-3.06

 

 

0.003

 

 

X3

 

 

0.57922

 

 

0.07633

 

 

7.59

 

 

0.000

 

 

X4

 

 

-0.8695

 

 

0.1498

 

 

-5.81

 

 

0.000

 

 

S = 9.025

 

 

R-Sq = 80.2%

 

 

R-Sq(adj) = 78.7%

 

           

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Analysis of Variance

 

 

Source

 

 

DF

 

 

SS

 

 

MS

 

 

F

 

 

p

 

 

Regression

 

 

2

 

 

18088.5

 

 

4522.1

 

 

55.52

 

 

0.000

 

 

Residual Error

 

 

55

 

 

4479.7

 

 

81.4

 

 

 

 

 

 

 

 

Total

 

 

59

 

 

22568.2

 

 

 

 

 

 

 

 

 

 

 







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