Note disregard all check and x marks. b. Let x be the independent variable and d

Question

Note disregard all check and x marks.

b. Let x be the independent variable and determine the estimated regression equation for the predicted values of y.

Use the following sample data for variables y and x to complete parts a through o y 103.6 68.8 63.2 94.7 105.1 104.7 94.6 96.7 99.9 98.2 X63145 43646 a. Develop a scatter plot for these data and describe what, if any, relationship exist:s b. Compute the regression equation based on these sample data and interpret the regression coefficients. C. Test the significance of the overall regression model using a significance level equal to 0.10 Click the icon to view the t-distribution table. a. Choose the correct graph below. OA. O B. O C. O D. 1504G 150 150 150 1 0- 0- 6

Explanation / Answer

a) Correct graph is as per option A

b)

Output of the regression analysis is as follows

Regression Equation: y = 63.91 + 6.9153x

Regression coefficient, r = 0.7582, this indicates that there is significant correlation between dependent variable y and independent variable x

3.

Test statistics t = r*sqrt((n-2)/(1-r^2))

t = 0.7582*sqrt((10 - 2)/(1-0.7582^2)) = 3.289

p-value = 0.005

As p-value is less than significance level of 0.1, we reject null hypothesis this means there are significant evidence that there exists correlation between two variables.

SUMMARY OUTPUT Regression Statistics Multiple R 0.758215029 R Square 0.57489003 Adjusted R Square 0.521751283 Standard Error 10.2135664 Observations 10 ANOVA df SS MS F Significance F Regression 1 1128.569492 1128.569492 10.81866001 0.011035646 Residual 8 834.5355085 104.3169386 Total 9 1963.105 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 63.9059322 9.402349984 6.796804236 0.000138273 42.22407426 85.58779015 42.22407426 85.58779015 x 6.915254237 2.102429371 3.28917315 0.011035646 2.067043413 11.76346506 2.067043413 11.76346506

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