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 1 Per your Minitab results, what is the T test statistic for bill depth mm 2 Steps 3 and 4 Per your Minitab results, provide the p value Decide to reject or fail to reject the null hypothesis Complete these steps by filling in the blanks Because the p value is , which is (less OR greater) than an alpha level of 0 05, we (reject OR fail to reject) the null hypothesis 3 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

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Question: 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

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

1. Per your Minitab results, what is the T test statistic for bill_depth_mm? ________

2. Steps 3 and 4: Per your Minitab results, provide the p-value. Decide to reject or fail to reject the null hypothesis. Complete these steps by filling in the blanks:

Because the p-value is _________, which is _________ (less OR greater) than an alpha level of 0.05, we _________ (reject OR fail to reject) the null hypothesis.

3. 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?

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