Use a residual plot to assess a transformed model
Let x be the explanatory variable floor area (m²) and y the response variable quarterly electricity use (kWh). Apply the square to the response variable only. Use the full fitted coefficients below. Report signed residuals to 2 decimal places; retain unrounded values until that final step
The table records floor area (m²) and quarterly electricity use (kWh) for 6 cases. Apply a square transformation to the response variable only
| Case | floor area (m²) | quarterly electricity use (kWh) |
|---|---|---|
| Case 1 | 84 | 1,675 |
| Case 2 | 94 | 1,455 |
| Case 3 | 104 | 1,235 |
| Case 4 | 114 | 1,125 |
| Case 5 | 124 | 1,125 |
| Case 6 | 134 | 1,125 |
The fitted equation is written on the transformed coordinates. Residuals are calculated on the fitted line's own response scale: signed residual on the quarterly electricity use² (kWh²) scale
A signed residual is observed transformed response minus predicted transformed response at the same transformed explanatory coordinate
The residual plot is shown below. A horizontal zero line is included