YOU MUST DO THIS PROBLEM Correlation/Regression em uses the same procedure you f

Question

YOU MUST DO THIS PROBLEM Correlation/Regression em uses the same procedure you followed to simulate stepwise regression. The correlation matrix data set is shown below. The response is matrix shown below to determine which predictor variable would be used first. "y" and xl to x6 are possible predictor variables. Use the correlation Correlation Matrix 25 Which variable is used first? y 1.00 1 0.61 1.00 20.83 0.48 1.00 3 0.09 0.00 0.11 1.00 x4 -0.13 -0.55 -0.03 0.08 1.00 x5 -0.78 0.66 -0.63 0.19 0.26 1.00 x6 -0.32 -0.32 -0.17 -0.06 -0.28 0.33 1.00 CIRCLE your answer x2 x3 x4 x5 x6 You are told that the SLOPE is found to be 15.52 and the INTERCEPT is found to be-100.2. The residuals from the first regression equation were regressed against all 6"x" variables with the results shown below x2 0.000 0.000 0.000 x3 x:5 x6 Slope 0.168 -8.382 0.136 -0.425 42.193 0.039 -0.004 -0.378 -0.594 R2 0.000 0.214 0.105 Which variable would enter the regression on the next step? CIRCLE your answer xl x2 x3 x4 x5 x6 Finally, using the SLOPE and INTERCEPT from the first step as well as the line of best fit shown for the 2nd variable you selected, write the equation after the second step: Fill in all 5 boxes

Explanation / Answer

1st we add X2 variable since it has a high correlation with Y. i.e. 0.83

so, fitted model is,

Ycap=15.52-100X2

then we have a table, in which X5 has highest R2 hence we next add X5 with coefficient -0.378.

so,

fitted model

ycap=15.52-100.2X2-0.378X5

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