For each of the following questions, use the given summary information from a simple linear regression to find a confide
Posted: Sun Jul 10, 2022 10:19 am
questions, use the given summary information from a simple linear regression to find a confidence interval and prediction interval when the predictor is a Give your answers to 3 decimal places. 1. We performed a linear regression using 37 observations. From the regression output we find that by = 9.2, b₁ = 11.6, 10.5, s, = 4 and MSE = 25. a. From the least squares line, what is the predicted response when r = 7.58? g : = b. What is the 95% confidence interval for the mean response when z* = 7.58? 7.7 c. What is the 95% prediction interval for an individual response when z* = 7.582 d. Which interval is wider? The confidence interval or the prediction interval? a. Confidence Interval b. Prediction Interval 2. We performed a linear regression using 36 observations. From the regression output we find that bo = 6.5, b₁ = 11.8,7 = 11.9, s, 4.5 and MSE 10.89. a. From the least squares line, what is the predicted response when z* = 6.347 ý b. What is the 95% confidence interval for the mean response when z* = 6.342 c. What is the 95% prediction interval for an individual response when z* = 6.34? d. Which interval is wider? The confidence interval or the prediction interval? a. Confidence Interval b. Prediction Interval
For each of the following