The attached table gives the peak power load for a power plant and the daily high temperature for a random sample of 10 days. (a) Test the hypothesis that the population correlation coefficient...

The attached table gives the peak power load for a power plant and the daily high temperature for a random sample of 10 days.

(a) Test the hypothesis that the population correlation coefficient  between peak power load and high temperature is zero versus the alternative that it is positive. Use  = 0:05.

(b) What is the minimum absolute value of the sample correlation coefficient that will make the model signicant at 5% level?

(c) Find a 98% condence and prediction interval for high temperature of 95.

(d) For what value of high temperature the condence interval will be shortest.

Extracted text: Day 2 4 6 7 10 High Temperature (F) Peak Load 95 82 90 81 99 100 93 95 93 87 214 152 156 129| 254 266 | 210 204 213 150 O 12