Question

ANOVAb
Model		Sum of Squares	df	Mean Square	F	Sig.
1	Regression	109,780	3	36,593	617,763	,030a
	Residual	10,722	181	,059
	Total	120,501	184
a. Predictors: (Constant), F4, F2, F3
b. Dependent Variable: F1

Coefficientsa
Model		Unstandardized Coefficients		Standardized Coefficients	t	Sig.
		B	Std. Error	Beta
1	(Constant)	,356	,105		3,373	,001
	F2	-,269	,026	-,699	-2,997	,030
	F3	,030	,028	,570	2,103	,021
	F4	,859	,024	,989	1,112	,141
a. Dependent Variable: F1

a- Write down the hypothesis, p- value and your conclusion.

b- Can you predict satisfaction score by using any of the independent variables? If yes, what are these variables write down the hypothesis for each of the variable and give your conclusion.  

c- What is the most important variable?  

Answer 1

(a) The hypothesis being tested is:

H₀: β₁ = β₂ = β₃ = 0

H₁: At least one β_i ≠ 0

The p-value is 0.030.

Since the p-value (0.030) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that the model is significant.

(b) The hypothesis being tested is:

H₀: β₁ = 0

H₁: β₁ ≠ 0

The p-value is 0.030.

Since the p-value (0.030) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that the slope, F2, is significant.

The hypothesis being tested is:

H₀: β₂ = 0

H₁: β₂ ≠ 0

The p-value is 0.021.

Since the p-value (0.021) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that the slope, F3, is significant.

(c) F3

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