Step 5: State a "real world" conclusion

Specifically, is there evidence that bill depth can be used to predict body mass,in the population of all Gentoo penguins?

Question set 2B:

The first penguin in this sample had a bill depth of 13.2 mm. Using the regression equation you provided above, compute the predicted body mass for this penguin. Show your work.

Regression Equation

body_mass_g	=	-459 +369.4bill_depth_mm

Coefficients

Term	Coef	SE Coef	T-Value	P-Value	VIF
Constant	-459	487	-0.94	0.348
bill_depth_mm	369.4	32.5	11.38	0.000	1.00

Model Summary

S	R-sq	R-sq(adj)	R-sq(pred)
351.766	51.71%	51.31%	50.06%

Analysis of Variance

Source	DF	Adj SS	Adj MS	F-Value	P-Value
Regression	1	16031778	16031778	129.56	0.000
bill_depth_mm	1	16031778	16031778	129.56	0.000
Error	121	14972470	123739
Lack-of-Fit	37	4360985	117864	0.93	0.583
Pure Error	84	10611484	126327
Total	122	31004248

Fits and Diagnostics for Unusual Observations

Obs	body_mass_g	Fit	Resid	Std Resid
14	5850.0	4934.8	915.2	2.61	R
15	4200.0	4934.8	-734.8	-2.10	R
18	6300.0	5156.5	1143.5	3.26	R
21	5700.0	4824.0	876.0	2.51	R
27	4100.0	4824.0	-724.0	-2.07	R
38	5250.0	5932.3	-682.3	-1.99		X
86	5600.0	5932.3	-332.3	-0.97		X

R Large residual X Unusual X