I conduct a study in which I regress the number of miles a person runs daily on

Question

I conduct a study in which I regress the number of miles a person runs daily on his/her age in years. I get the following results: Coefficientsa Model Unstandardized Coefficients Standardized Coefficients B Std. Error Beta t Sig. 1 (Constant) 3.736 1.160 3.222 .012 VAR00001 -.046 .030 -.482 -1.556 .158

a. Dependent Variable: VAR00002

My model summary showed that r = .482. Based upon this, what is the effect size (amount of variance – coefficient of determination) that I can explain in miles ran/day due to age.

Explanation / Answer

coefficient of determination is given by R^2 is linear regression in 1 variable

here r = 0.482

hence

r^2 = 0.482^2 = 0.232324

this means 23.23 % of variation is explained by dependent variable

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