Question

Based on the ANOVA table given, is there enough evidence at the 0.05 level of significance to conclude that the linear relationship between the independent variables and the dependent variable is statistically significant? ANOVA Source df Regression 2 1520.519603 760.259801 8.137791 0.005843 Residual12 1121.080397 93.423366 MS F Significance F Total 14 2641.600000 Copy Data Ne ev Keypad Tables MacBook Ai 44 F FS F6
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Answer #1

Solution:

We are given

Level of significance = α = 0.05

From given regression output, we have P-have for the regression ANOVA is given as below:

P-value = 0.005843

P-value < α = 0.05

So, we reject the null hypothesis

There is sufficient evidence to conclude that the linear relationship between the independent variable and the dependent variable is statistically significant.

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