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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Advanced Engineering Mathematics
Authors: Erwin Kreyszig
3rd Edition
471507288, 978-0471507284
