Question

suppose the correlation coefficient measuring the strength of the linear association between height (y-in cms) and video gaming (x-hours per week) for 100 study participants is -0.7. 1. interpret the correlation coefficient 2.calculate the coefficient of determination, interpret the result

Answer 1

Correlation coefficient is -0.7 which shows that there is negative relationship between the dependent and independent variable.

-0.7 shows that the strength of the relationship is moderately high between the dependent and independent variable, but the relationship is negative

Coefficient of determination = r^2

we have r = -0.7

so, coefficient of determination = (-0.7)^2 = 0.49

This shows that 49% variation in the dependent variable can be explained by the independent variable.