Question



gender

gpa

final

total

gender

Pearson Correlation

1

.208*

-.140

-.143

Sig. (2-tailed)


.033

.156

.145

N

105

105

105

105

gpa

Pearson Correlation

.208*

1

.223*

.199*

Sig. (2-tailed)

.033


.022

.041

N

105

105

105

105

final

Pearson Correlation

-.140

.223*

1

.881**

Sig. (2-tailed)

.156

.022


.000

N

105

105

105

105

total

Pearson Correlation

-.143

.199*

.881**

1

Sig. (2-tailed)

.145

.041

.000


N

105

105

105

105

Report the highest magnitude correlation in the intercorrelation matrix, including degrees of freedom, correlation coefficient, p value, and effect size. Interpret the effect size. Specify whether or not to reject the null hypothesis for this correlation.

Homework Answers

Answer #1

Among the correlation values for the given variables, the absolute correlation between the "final" and "Total" has the highest magnitude with value 0.881. Hence, the highest magnitude correlation in the intercorrelation matrix happens between the "final" and "Total" variables with N-2=105-2=103 degrees of freedom, correlation coefficient=0.881, p-value=0.000. The correlation coefficient values fall in the range of 0.5 to 1.0. So, the strength of association is Large. The p-value is less than 0.05 level of significance. Hence, we reject the null hypothesis that the population correlation value equal to zero at the 0.05 level of significance.

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