Write down the estimation model. Comment on the overall strength of the regression model in light of the coefficient of determination and adjusted coefficient of determination? (3 marks)

(3) Based on the results generated, is the model valid at 5% significance level? State the hypotheses for testing the validity of this model and briefly explain how you derive the answer. (5 marks)

(4) Of the independent variables that are linearly related to the dependent variable at 10% significance level, which independent variable has the greatest effect on the dependent variable and what is the effect? (2 marks)

SUMMARY OUTPUT
Regression Statistics
Multiple R	0.657470633
R Square	0.432267634
Adjusted R Square	0.31872116
Standard Error	0.424253721
Observations	19
ANOVA
	df	SS	MS	F
Regression	3	2.055661693	0.685220564	3.806966622
Residual	15	2.699868291	0.179991219
Total	18	4.755529985
	Coefficients	Standard Error	t Stat	P-value
Intercept	0.202228212	0.113327341	1.784460924	0.094584334
X1	-0.15062447	0.244444702	-0.616190362	0.547006814
X2	-1.046070106	0.331096462	-3.159411907	0.006480393
X3	0.959477191	0.345368183	2.778128493	0.014066586

Required:

(1) Write down the estimation model. (1 mark)

(2) Comment on the overall strength of the regression model in light of the coefficient of determination and adjusted coefficient of determination? (3 marks)

(3) Based on the results generated, is the model valid at 5% significance level? State the hypotheses for testing the validity of this model and briefly explain how you derive the answer. (5 marks)

(4) Of the independent variables that are linearly related to the dependent variable at 10% significance level, which independent variable has the greatest effect on the dependent variable and what is the effect? (2 marks)