Each student in a sample of 10 was asked for the distance an

Each student in a sample of 10 was asked for the distance and the time required to commute to college yesterday. The data collected are shown in the table. Given an equation for the line of best fit of bar y = 4.77 + 1.83x, se^2 = 17.8815, sigma x = 67, and SS(x) = 110.1, make the following estimates. (a) Give a point estimate for the mean time required to commute 4 miles. (Give your answer correct to two decimal places.) (b) Give a 90% confidence interval for the mean travel time required to commute 4 miles. (Give your answers correct to two decimal places.) lower limit upper limit (C) Give a 90% prediction interval for the travel time required for one person to commute the 4 miles. (Give your answers correct to two decimal places.) lower limit upper limit

Solution

(a) point estimtae= 12.07

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(b)Lower limit:8.87

Upper limit: 15.28

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(c)Lower limit:3.58

Upper limit:20.56

Predicted values for: Time
		90% Confidence Interval	90% Prediction Interval
Distance	Predicted	lower	upper	lower	upper	Leverage
4	12.071	8.865	15.277	3.579	20.563	0.166