Using the linear correlation coefficient given above, calculate and give the value of the coefficient of determination. Explain in a sentence what this means in the context of this example, treating gpa as a predicto

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Using the linear correlation coefficient given above, calculate and give the value of the coefficient of determination. Explain in a sentence what this means in the context of this example, treating gpa as a predictor.

iNZight Summary
Response/outcome variable: salary (numeric)
Predictor/explanatory variable: gpa (numeric)
Total number of observations: 96
Summary of salary versus gpa:
Linear trend:
salary = -1611 + 581 *
gpa
Linear correlation: 0.52
Rank correlation: 0.51 (using Spearman's Rank Correlation)
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II
Transcribed Image Text:iNZight Summary Response/outcome variable: salary (numeric) Predictor/explanatory variable: gpa (numeric) Total number of observations: 96 Summary of salary versus gpa: Linear trend: salary = -1611 + 581 * gpa Linear correlation: 0.52 Rank correlation: 0.51 (using Spearman's Rank Correlation) %3D %3D %3D %3D %3D %3D %3D %3D %3D %3D %3D %3D %3D %3D %3D %3D II
Expert Solution
Step 1

Obtain the value of r2.

 

The value of r2 is obtained below as follows:

 

From the given information, it is clear that the value of correlation coefficient is 0.52

 

The required value is,

Statistics homework question answer, step 1, image 1

Thus, the value of r2 is 0.2704.

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