The confidence interval estimate of the expected value of y will be narrower than the prediction interval for the same given value of x and confidence level. This is because there is less error in estimating a mean value as opposed to predicting an individual value.
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Q. 2In order to predict with 95 confidence a particular value of y for a given value of x in a simple linear regression problem, a random sample of 20 observations is taken. The appropriate table value that would be used is 2.101.
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Q. 3In developing 90 prediction interval for the particular value of y from a simple linear regression problem involving a sample of size 14, the appropriate table value would be 2.179.
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Q. 4In developing a 80 prediction interval for the particular value of y from a simple linear regression problem involving a sample of size 12, the appropriate table value would be 1.372.
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Q. 5In developing a 95 confidence interval for the expected value of y from a simple linear regression problem involving a sample of size 10, the appropriate table value would be 1.86.
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Q. 6The prediction interval developed from a simple linear regression model will be very narrow when the value of x used to predict y is equal to the mean value x.
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Q. 7Large coefficient of determination value will result in a small standard error of the estimate for the regression model, thus providing prediction intervals that are narrow.
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Q. 8When regression analysis is used for prediction, the confidence interval for the average y given x will be wider than the prediction interval for a particular value of y given x.
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