In testing eight value notebook computers, PC World reported various physical and performance measures of each. Data included overall rating, street price, PC WorldBench 4 performance score, and battery life, with the results shown here.

a. From these data, obtain the multiple regression equation estimating overall rating on the basis of the other three variables; then determine and interpret the approximate 95% confidence interval for the mean overall rating of notebook computers having a $1000 street price, a performance score of 100, and a 2.50-hour battery life.
b. Determine the 95% prediction interval for the overall rating of an individual notebook computer with a $1000 street price, a performance score of 100, and a 2.50-hour battery life.

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Computer Overall Rating: 2 80 949 96 4 80 1024 102 76 75 Street Price: Performance Score: 499 1478 104 Battery Life (hours): 3.03 2.97 2.00 3.05 Computer: 5 6 7 72 104 8 72 857 1865 1699 1298 91 Battery Life (hours): 1.88 3.00 2.38 2.33 Overall Rating: Street Price: 75 74 Performance Score: 100 98