To predict the peak power load needed, ABC Power Authority has selected a sample of 6 summer days. The data are listed below:
1. Construct a scatterplot for the data and graph a second-order polynomial.
Temperature Peak Load
degrees "F" Megawatts
67 97.0
108 190.1
86 105
100 159.1
90 132.1
76 101.0
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2. Fit a second-order model to the data.
3. Write the least squares equation.
4. What is the SSE and what does it mean?
5. What is the S2, and what does in mean.
6. What is the standard error of estimate and what does it mean.
7. What is the coefficient of determination and what does it mean in the context of this problem.
8. Predict the peak power load needed in a day in which temperature is 105 degrees.