Question

(d) Monthly household income (in thousands of dollars (x$1000)) and household size are considered as predictor variables in determining monthly household entertainment expenditure (in thousands of dollars (x$1000)). A random sample of twenty households is obtained in fitting a multiple linear regression equation with output provided below: ANOVA df SS MS F Regression ? ? ? ? Residual ? ? ? Total ? 14351.75 Coefficients Standard Error Intercept -2.35194 11.41656 Monthly household income 0.056192 0.009708 Household size 9.40699 3.37384 (i) Write down the fitted multiple linear regression equation. [3 marks] (ii) Complete the above ANOVA table for the multiple linear regression if the coefficient of determination is 0.7257. [2 marks] (iii) Test the significance of the overall model at 5% level of significance. [1 mark] (iv) Does monthly household income have significant contribution in explaining the variation of monthly household entertainment expenditure at 5% level of significance? [1 mark]

          (d) Monthly household income (in thousands of dollars (x$1000)) and household size are considered as predictor variables in determining monthly household entertainment expenditure (in thousands of dollars (x$1000)). A random sample of twenty households is obtained in fitting a multiple linear regression equation with output provided below:
ANOVA
df	SS	MS	F
Regression	?	?	?	?
Residual	?	?	?
Total	?	14351.75
Coefficients	Standard Error
Intercept	-2.35194	11.41656
Monthly household income	0.056192	0.009708
Household size	9.40699	3.37384
(i) Write down the fitted multiple linear regression equation.
[3 marks]
(ii) Complete the above ANOVA table for the multiple linear regression if the coefficient of determination is 0.7257.
[2 marks]
(iii) Test the significance of the overall model at 5% level of significance.
[1 mark]
(iv) Does monthly household income have significant contribution in explaining the variation of monthly household entertainment expenditure at 5% level of significance?
[1 mark]

(d) Monthly household income (in thousands of dollars (x1000)) and household size are considered as predictor variables in determining monthly household entertainment expenditure (in thousands of dollars (x1000)). A random sample of twenty households is obtained in fitting a multiple linear regression equation with output provided below:
ANOVA
df SS MS F
Regression ? ? ? ?
Residual ? ? ?
Total ? 14351.75
Coefficients Standard Error
Intercept -2.35194 11.41656
Monthly household income 0.056192 0.009708
Household size 9.40699 3.37384
(i) Write down the fitted multiple linear regression equation.
[3 marks]
(ii) Complete the above ANOVA table for the multiple linear regression if the coefficient of determination is 0.7257.
[2 marks]
(iii) Test the significance of the overall model at 5% level of significance.
[1 mark]
(iv) Does monthly household income have significant contribution in explaining the variation of monthly household entertainment expenditure at 5% level of significance?
[1 mark]

Added by Danielle W.

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