Regression analysis
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You are given the following summary statistics from a regression analysis:
ŷ = 200 + 150x
SSE = 25.25
_
SSX = Sum of squares X = (x -x) 2 = 99.645
n = 18
_
x = 52.0
a. Determine the point estimate for y if xp = 48 is used.
b. Provide a 95% confidence interval estimate for the average y, given xp = 48. Interpret this interval.
c. Provide a 95% prediction interval estimate for the average y, given xp = 48. Interpret this interval.
d. Discuss the difference between the estimates provided in parts b and c.
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Solution Summary
Step by step method for regression analysis is discussed here. Regression coefficients, coefficient of determination, scatter diagram and significance of regression model are explained in the solution.
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You are given the following summary statistics from a regression analysis:
ŷ = 200 + 150x, SSE = 25.25 SSX = Sum of squares X = (x -x) 2 = 99.645
n = 18 xbar = 52.0
a. Determine the point estimate for y if xp = 48 is used.
When xp=48
ŷ = 200 + 150*48=7400
b. Provide a 95% confidence interval estimate for the average y, given xp = ...
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