# Regression analysis

Dear OTA,

Can you please assist me with this? Please see the attached file.

Thanks

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.

https://brainmass.com/statistics/regression-analysis/summary-statistics-regression-analysis-197703

#### Solution Preview

Please see the attachment.

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 = ...

#### 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.