Question

The following Regression function has been developed to check the relationship between the dependent variable y and the independent variable ?1 .

Consider the following Minitab output and answer the questions.

Regression Equation

?̂ = ? . ? ? + ? . ? ? x1

a) Please fill out the Coefficients table appropriately.

Coefficients Term Coef SE Coef T-Value P-value VIE Constant (i) 1.38 16.58 0.000 X1 (ii) 0.231 7.00 0.000 1.00

b) Please fill out the ANOVA table appropriately.

Analysis of Variance Source DF SS MS F Regression (iii) 2.12 2.12 Error (iv) (v) 0.12 17.37 Total 9 3.10

c) Suppose that variables ?2 ??? ?3 are added to the above model and the following regression analysis is obtained. Please fill out the above Coefficients table appropriately.

Regression Analysis: Y versus X1, X2, X3 The regression equation is ŷ = 0.35 + 0.26 X1 + 0.13 X2 + 0.46 X3 Term Coef SE Coef

d) Please fill out the ANOVA table appropriately based on the information from part (c).

Analysis of Variance Source DF SS MS (14 Regression (viii) 2.75 (xii) (xiii) Error (ix) (xi) 0.06 Total (x) 3.11

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Answer: consider the following minitab output a] coefficient VIF Term Coef 22.8804 1.617 SE Coef 1.38 Tualue 16.58 7.00 P valc] The regression equation is 0.35 +0.26 x; t 0.13 X2 +0.46%3 Coef SE Coef Term Constant T 0-65 0.35 0.53 Xi 0.26 0.09 0:138d] ANOVA TABLE DE SS 나 3 2.75 Source Regression Error Total SL4 16.0 90:0 is.167 6 0.36 3.11 9 viii] regressore in regression

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