Question

Recently a researcher reported a correlation of -.57 across 30 high schools in the state between mean teacher salary and the per student vandalism rate of the school (these are not actual data and should be used only for purposes of this take-home). Interpret this finding. What do you believe is the most likely reason that these two variables correlate? (Be specific: if, for example, you believe that there is a third, fourth, etc., variable operating here, please indicate what variable it is and how it may affect the correlation.)

Answer 1

Answer:-

Given That:-

Recently a researcher reported a correlation of -.57 across 30 high schools in the state between mean teacher salary and the per student vandalism rate of the school (these are not actual data and should be used only for purposes of this take-home). Interpret this finding. What do you believe is the most likely reason that these two variables correlate? (Be specific: if, for example, you believe that there is a third, fourth, etc., variable operating here, please indicate what variable it is and how it may affect the correlation.)

Given,

sample size (n) = 30

sample correlation (r) = -0.57

Hypothesis

versus

Test statistic

t =-3.6709

p - value = 2p(t < -3.6709) with n - 2 = 30- 2 = 28 df is 0.0010

The p - value is less than 0.05 significance level. Hence, reject the null hypothesis and conclude that mean teacher salary and the per student vandalism rate of the school has significant correlation relatoinship.

Base on the estimated correlation value, increase the value of mean teacher salary decreases the corresponding value of the per-student vandalism rate of the school or vice-versa.

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