Use the descriptive and simple correlation results below to answer the following ques- tions. Y y123456...

 

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Use the descriptive and simple correlation results below to answer the following ques- tions. Y y123456 X1 X3 5 X2 10 X4 X5 X6 X7 Mean SD Y X1 X2 100 7 8 11 10 4 10 1.00 1 .50 4 .40 -.30 2 3 5 2 1 Simple Correlation Coefficients 1.00 .40 1.00 -.20 .30 .30 .20 .10 .50 1.00 .00 .30 X3 X4 X5 -.10 1.00 .30 -.30 1.00 .00 -.15 .05 40 -.20 .30 20 -.30 .20 a. How much variance in Y is explained by X1 and X2? b. How much variance in Y is explained by X1 and X3? 1.00 .10 .20 X6 X7 1.00 .30 1.00 c. Consider a regression of Y on X1 and X4. What is the intercept? What is the partial regression coefficient and partial beta coefficient for X1? d. Consider a regression of Y on X6 and X4. What is the intercept? What is the partial regression coefficient and partial beta coefficient for X6? e. Explain the similarities and differences for the coefficients X1 and X6 in Answers c and d. Use the descriptive and simple correlation results below to answer the following ques- tions. Y y123456 X1 X3 5 X2 10 X4 X5 X6 X7 Mean SD Y X1 X2 100 7 8 11 10 4 10 1.00 1 .50 4 .40 -.30 2 3 5 2 1 Simple Correlation Coefficients 1.00 .40 1.00 -.20 .30 .30 .20 .10 .50 1.00 .00 .30 X3 X4 X5 -.10 1.00 .30 -.30 1.00 .00 -.15 .05 40 -.20 .30 20 -.30 .20 a. How much variance in Y is explained by X1 and X2? b. How much variance in Y is explained by X1 and X3? 1.00 .10 .20 X6 X7 1.00 .30 1.00 c. Consider a regression of Y on X1 and X4. What is the intercept? What is the partial regression coefficient and partial beta coefficient for X1? d. Consider a regression of Y on X6 and X4. What is the intercept? What is the partial regression coefficient and partial beta coefficient for X6? e. Explain the similarities and differences for the coefficients X1 and X6 in Answers c and d.