Question

The following regression output is for predicting the heart weight (in g) of cats from their...

The following regression output is for predicting the heart weight (in g) of cats from their body weight (in kg). The coefficients are estimated using a dataset of 144 domestic cats.

A) Interpret the intercept

B) Interpret the slope

C) Interpret R^2

Math   Statistics-And-Probability   
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Answer #1

(A);The value of intercept is -0.357 which we assume to be entire population's intercept and t value of intercept -0.515 tells us the importance of intercept. the more absolute value of t the more is the significance of intercept. Here pr(>|t|) = 0.607 which is a little high. The lower the value of pr(||t|) the greter is the significance of intercept

(B): The value of slope is 4.034. This has fairly goof t-value and pr(>|t|) = 0.000 which means that this is highly signicant for estimating the heart weight.

(C) R-squared means the coefficient of determination. As the value of R-squared approaches from 0 to 100% the model is said to bad fit to good fit. Here we have 64.41% which means medium goodness of fit of regression line

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