>>Select the most appropriate response . If the correlation between a person’s a
ID: 3154655 • Letter: #
Question
>>Select the most appropriate response. If the correlation between a person’s age and annual income is 0.60, then the coefficient of determination tells us that:
36% of the variation in a person’s annual income can be explained by the predictor variable age.
36% of a person’s annual income can be explained by their age
60% of the variation in a person’s annual income can be explained by the predictor variable age
60% of a person’s annual income can be explained by their age
>>Select the most appropriate response. A university statistician found that the correlation between college GPA and starting salary was 0.12. On the basis of this you would tell the university that:
GPA is a good predictor of starting salary.
students with low GPA’s will have the lowest starting salaries.
GPA is a poor predictor of starting salary.
students with high GPA’s will have the highest starting salaries.
GPA is a good predictor of starting salary.
students with low GPA’s will have the lowest starting salaries.
GPA is a poor predictor of starting salary.
students with high GPA’s will have the highest starting salaries.
Explanation / Answer
If the correlation between a person’s age and annual income is 0.60, then the coefficient of determination tells us that:
36% of the variation in a person’s annual income can be explained by the predictor variable age.
Because, coefficient of determination=r^2=0.60^2=0.36
A university statistician found that the correlation between college GPA and starting salary was 0.12.
It tells that GPA is a poor predictor of starting salary. As the correlation is not at all strong.
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