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A Researcher Is Trying to Decide Whether or Not to Add

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A researcher is trying to decide whether or not to add another variable to his regression model. He has estimated the following equation for the model from a sample of 28 observations. A researcher is trying to decide whether or not to add another variable to his regression model. He has estimated the following equation for the model from a sample of 28 observations.   = 23.62 + 18.86x<sub>1</sub> + 24.72x<sub>2</sub> SSE = 1425 SSR = 1320 ​ He has also estimated the model with an additional variable x<sub>3</sub>. The results are:   = 25.32 + 15.29x<sub>1</sub> + 7.63x<sub>2</sub> + 12.72x<sub>3</sub> SSE = 1350 SSR = 1465 ​ What advice would you give this researcher? Use a .10 level of significance. = 23.62 + 18.86x1 + 24.72x2
SSE = 1425
SSR = 1320

He has also estimated the model with an additional variable x3. The results are: A researcher is trying to decide whether or not to add another variable to his regression model. He has estimated the following equation for the model from a sample of 28 observations.   = 23.62 + 18.86x<sub>1</sub> + 24.72x<sub>2</sub> SSE = 1425 SSR = 1320 ​ He has also estimated the model with an additional variable x<sub>3</sub>. The results are:   = 25.32 + 15.29x<sub>1</sub> + 7.63x<sub>2</sub> + 12.72x<sub>3</sub> SSE = 1350 SSR = 1465 ​ What advice would you give this researcher? Use a .10 level of significance. = 25.32 + 15.29x1 + 7.63x2 + 12.72x3
SSE = 1350
SSR = 1465

What advice would you give this researcher? Use a .10 level of significance.


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