3.Perform the appropriate analysis to determine if there is a statistically sign

Question

3.Perform the appropriate analysis to determine if there is a statistically significant linear relationship between the two variables. Describe the relationship in terms of strength and direction.

4.Construct a model of the relationship and evaluate the validity of that mode

I have 2 different analysis, I need a answer for both

SUMMARY OUTPUT 20 and under Regression Statistics Multiple R 0.181888 R Square 0.033083 Adjusted R Square -0.12807 Standard Error 10.50618 Observations 8 ANOVA df SS MS F Significance F Regression 1 22.66006 22.66006 0.205292 0.666407 Residual 6 662.2787 110.3798 Total 7 684.9388 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 173.0732 321.0069 0.539157 0.609187 -612.402 958.5488 -612.402 958.5488 X Variable 1 -0.07345 0.162114 -0.45309 0.666407 -0.47013 0.323226 -0.47013 0.323226

Explanation / Answer

here level of significance( alpha )is not mentioned, let it is alpha=0.05 ( generally alpha=0.05 is taken)

(first output) since P-value of regression =0.666 is more than alpha=0.05 so it is not significant and and conclude that there is not statistically significant linear relationship between the two variables. also the p-value of the X1 =0.666 is more than alpha=0.05

modle y=173.0732 - 0.0735X1

(second output) since P-value of regression 0.383 is more than alpha=0.05 so it is not significant and and conclude that there is not statistically significant linear relationship between the two variables. also the p-value of the X1 =0.3515 is more than alpha=0.05

modle y=162.7518 - 0.07655X1

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