An ornithologist measured the mass (g) and head length (the distance from the tip of the bill to the back of the skull, in mm) for a sample of 60 female blue jays. Here is a plot of the data and computer output:

Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 4.23 on 58 degrees of freedom
Multiple R-squared: 0.2999, Adjusted R-squared: 0.2878 F-statistic: 24.84 on 1 and 58 DF, p-value: 5.954e-06
(a) Interpret the fitted slope of the regression model, in the context of this setting.
(b) The computer output says that the residual standard error (which we call the residual standard deviation) is 4.23. In the context of this setting, what does that mean? (Be sure to state the units for 4.23 as part of your answer.)
(c) The computer output says that R2 is 0.2999. In the context of this setting, what does that mean?

Transcribed Image Text:

Coefficients: Estimate Std. Error t value Prlt) CIntercept) -50.6960 24.18432.096 0.0404 Head 2.2052 0.4425 4.984 5.95e-06 80 75 芝70 65 60- 52 53 54 565 Head Length (mm)