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1. For the simple linear regression of mass and body length, what are the null a

ID: 3207641 • Letter: 1

Question

1. For the simple linear regression of mass and body length, what are the null and alternative hypotheses?

2. For the above regression, what is your interpretation of the results? (Please explain why!)

Thanks!

lyx Tadpole Size Data Fit Y by X of Mass (g) by Body Length (mm) JMP Bivariate Fit of Mass (g) By Body Length (mm) 0.8 0.7 0.6 04, 0.3 0.2 0.1 10 12 Body Length (mm) near Fit Linear Fit Mass (g -0.188208 0.0507121*Body Length (mm) s Summary of Fit 1961 quare RSquare Adj 0.375243 0.131826 Root ean Square Error Mean of Response 0.50234. Observations (or Sum Wgts) 94 Lack of Fit Analysis of variance Source DF Sum of Mean Square F Ratio Squares Model 1 0.9880885 0.988088 56.8579 Error 92 5987966 0.017378 Prob 93 2.586885 C. Total

Explanation / Answer

(1) Ho: There is no linear relationship between mass and body length

Ha: There is a linear relationship between mass and body length

(2) Since the p- value for body length is < 0.001, we may conclude that there is a significant linear relationship between mass and body length.