The calculation of the coefficient of determination ? depends on the number of independent variables. An adjusted value of r2 based on the number of degrees of freedom is calculated using the formula shown below, where n is the number of data pairs and k is the number of independent variables. =1- 'adj n-k-1 Data were found on eight pre-owned sedans of a certain make. Suppose a multiple regression on these data has 7 independent variables. The coefficient of determination is found to be 0.936 based on a sample of 18 paired observations. After calculating r determine the percentage of the variation in y that can be explained by the relationships between variables according to r. Compare this result with the one obtained using 2.

Question

The calculation of the coefficient of determination rsquared depends on the number of independent variables. An adjusted value of rsquared based on the number of degrees of freedom is calculated using the formula shown​ below, where n is the number of data pairs and k is the number of independent variables.

 
The calculation of the coefficient of determination ? depends on the number of independent variables. An adjusted value of r2 based on the number of degrees of freedom is calculated using the formula shown below,
where n is the number of data pairs and k is the number of independent variables.
=1-
'adj
n-k-1
Data were found on eight pre-owned sedans of a certain make. Suppose a multiple regression on these data has 7 independent variables. The coefficient of determination is found to be 0.936 based on a sample of 18
paired observations. After calculating r
determine the percentage of the variation in y that can be explained by the relationships between variables according to r. Compare this result with the one obtained using
2.
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Transcribed Image Text

The calculation of the coefficient of determination ? depends on the number of independent variables. An adjusted value of r2 based on the number of degrees of freedom is calculated using the formula shown below, where n is the number of data pairs and k is the number of independent variables. =1- 'adj n-k-1 Data were found on eight pre-owned sedans of a certain make. Suppose a multiple regression on these data has 7 independent variables. The coefficient of determination is found to be 0.936 based on a sample of 18 paired observations. After calculating r determine the percentage of the variation in y that can be explained by the relationships between variables according to r. Compare this result with the one obtained using 2.

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