Question A study was done to study the effect of ambient temperature on the electric power consumed by a chemical plant. Following table gives the data which are collected from an experimental pilot plant. | Temperature (°F) | 27 | 45 | 72 | 58 | 31 | 60 | 34 | 74 | |---|---|---|---|---|---|---|---|
Question
A study was done to study the effect of ambient temperature on the electric power consumed by a chemical plant. Following table gives the data which are collected from an experimental pilot plant.
| Temperature (°F) | 27 | 45 | 72 | 58 | 31 | 60 | 34 | 74 |
|---|---|---|---|---|---|---|---|---|
| Electric Power (BTU) | 250 | 285 | 320 | 295 | 265 | 298 | 267 | 321 |
a. Identify which one is response variable, and fit a simple regression line, assuming that the relationship between them is linear.
b. Interpret the regression coefficient with reference to your problem.
c. Obtain coefficient of determination, and interpret this.
d. Based on the fitted model in (a), predict the power consumption for an ambient temperature of $65°F$. [10+0]
x = Temp (°F) 27 45 72 58 31 60 34 74 --------------------------- y = Power (BTU) 250 285 320 295 265 298 267 321 $n = 8$ x y x² xy y² ------------------ 27 250 729 6750 62500 45 285 2025 12825 81225 72 320 5184 23040 102400 58 295 3364 17110 87025 31 265 961 8215 70225 60 298 3600 17880 88804 34...