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Hello students, a simple linear regression model is constructed.
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The data set is of the size n equal to 30.
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Given n equal to 30.
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The following terms are given.
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Expectation of x equal to 2500.
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Expectation of y is equal to 1200.
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Variance of x is equal to 9500.
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Variance of y is equal to 3000.
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B0 is equal to 250.
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B1 equal to 1 .25.
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The residual standard deviation is that is the standard error 600.
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Calculate the 95 % prediction interval for y when x equal to 4000.
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So 100 into 1 minus alpha prediction interval is given by y hat minus plus t critical into standard error.
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Before that we have to calculate y hat.
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Y hat is the predicted value.
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Then y hat equal to b0 plus b1 x and value is given as 4000.
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Then put values b0, b1 and x in equation.
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This we get y hat is equal to 5250.
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Now we get this value...