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{Question 14.08} Given below are five observations collected in a regression stu

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Question

{Question 14.08}

Given below are five observations collected in a regression study on two variables, x (independent variable) and y (dependent variable) (3 Decimals) Please use Excel: Regression .

Develop the least squares estimated regression equation.

At 95% confidence,

Summary Output Regression Statics Multiple R R Square Adjusted R Square Standard Error Observations ANOVA df SS MS F Significance F Regression Residual Total Coefficients Standard Error t Stat P-value Intercept x {Question 14.08} Given below are five observations collected in a regression study on two variables, x (independent variable) and y (dependent variable) (3 Decimals) Please use Excel: Regression . Compute the coefficient of correlation. = 0.05. Compute the coefficient of determination. x At 95% confidence, Let - = Develop the least squares estimated regression equation. x Coefficients Standard Error t Stat P-value Intercept Total Residual ANOVA df SS MS F Significance F Regression Observations Standard Error Adjusted R Square R Square Summary Output Regression Statics Multiple R

Explanation / Answer

the least squares estimated regression equation is

Y=6-0.8X

the coefficient of determination that is

R Squared =0.9411

coefficient of correlation is -0.97014

SUMMARY OUTPUT Regression Statistics Multiple R 0.970143 R Square 0.941176 Adjusted R Square 0.921569 Standard Error 0.365148 Observations 5 ANOVA df SS MS F Significance F Regression 1 6.4 6.4 48 0.006165 Residual 3 0.4 0.133333 Total 4 6.8 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 6 0.489898 12.24745 0.001172 4.440926 7.559074 X Variable 1 -0.8 0.11547 -6.9282 0.006165 -1.16748 -0.43252