Question

When body mass (kg) is regressed against maximum running speed (km/h) (n = 43), it produces a linear regression equation of y = 67.03 – 0.009x, with r² = .274, p < 0.01. Briefly describe what this regression equation means in terms of the relationship between body mass and running speed, how strong this relationship is (and how you know that), and what the significance level indicates.  

Answer 1

Here slope is -0.009 when running speed increase by 1 unit then body mass decrease by 0.009

R2=0.275=27.5% the amount of variability in body mass due to running speed.

Here relationship is moderate because R2 value is moderate.