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Question 5 Interpret the following computer output as stated Model Summary Adjusted Std. Error of R Square R Square the Estimate 8.70363 Model 840a 705 668 a. Predictors: (Constant), X ANOVA Sum of Squares Model df Si Mean Square 1449.974 75.753 19.141 Regression 1449.974 Residual Total 002a 606.026 2056.000 a. Predictors: (Constant), X b. Dependent Variable: Y Coefficientsa Unstandardized Coefficients Standardized Coefficients Beta Model Std. Error 8.507 175 Si (Constant) 40.784 .766 4.794 4.375 001 002 840 a. Dependent Variable: Y What is the correlation coefficient? What is the co-efficient of determination and its meaning? Is the regression line significant? Why/why not? Write the regression equation. Is each coefficient significant?

Please dont answer by hand writing and show steps clearly. Thank you

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Answer #1

a) the correlation coefficients is nothing but R which is 0.840.

b)the coefficient of determination is R2= 0.705, which means 70.5% of the variation of the dependent variable(Y) is explained by the independent variable(X).

c)Yes, because in the ANOVA table, p-value = 0.002, which is very small. hence, we can conclude that at 0.01 level of significance, the regression line is significant.

d)the regression equation is,

\widehat{y} = 40.784+0.766X

Yes, both the coefficients are significant since p-value for both the coefficients is 0.001 and 0.002 which are significant.

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