An industrial ceramicist measures the energy consumption, EEE kWh, required to maintain different operating temperatures, TTT ∘C^{\circ}\text{C}∘C, in a specialized kiln. Data from 6 test runs are recorded in the table below.
| Run | 1 | 2 | 3 | 4 | 5 | 6 |
|---|---|---|---|---|---|---|
| TTT | 200 | 250 | 300 | 350 | 400 | 450 |
| EEE | 45 | 58 | 68 | 82 | 95 | 102 |
Calculate the values of STTS_{TT}STT, SEES_{EE}SEE and STES_{TE}STE for these measurements.
Calculate the product moment correlation coefficient (PMCC) for these data.
Interpret your result from part (b) in the context of the kiln's operation.
On a suitable grid, draw a scatter diagram of energy consumption against operating temperature for these 6 runs.
Determine the equation of the regression line of EEE on TTT in the form E=a+bTE = a + bTE=a+bT.
Use your regression line to estimate the energy consumption for a run with an operating temperature of 320 ∘C^{\circ}\text{C}∘C.
