Given are five observations for two variables, x and y . The estimated regressio

Question

Given are five observations for two variables, x and y.

The estimated regression equation is = 0.2 + 2.6x.

Use the F test to test the hypotheses in part (d) at a .05 level of significance.

Complete the F table below. Calculate the Sum of Squares (to 1 decimal), the Mean Squares (to 3 decimals), and the F ratio (to 2 decimals).

What is the p-value?
Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 16

What is your conclusion, based on this F test?
SelectConclude a significant relationship exists between x and yCannot conclude a significant relationship exists between x and yItem 17

xi 1 2 3 4 5 yi 3 7 5 11 14

Explanation / Answer

SSE = 4.133

MSE = 2.033

TS = 4.04

p-value = 0.0272 ,which is between .02 and .05

p-value< 0.05 Conclude a significant relationship exists between x and y

p-value = 0.0272 ,which is between .02 and .05

p-value< 0.05 Conclude a significant relationship exists between x and y

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SUMMARY OUTPUT Regression Statistics Multiple R 0.919238816 R Square 0.845 Adjusted R Square 0.793333333 Standard Error 2.033060091 Observations 5 ANOVA df SS MS F Significance F Regression 1 67.6 67.6 16.35483871 0.027214829 Residual 3 12.4 4.133333333 Total 4 80 Coefficients Standard Error t Stat P-value Lower 95% Intercept 0.2 2.132291412 0.09379581 0.931184657 -6.585902927 x 2.6 0.642910051 4.044111609 0.027214829 0.553973284

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