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For each of the following questions, use the given summary information from a simple linear regression to find a confide
Posted: Thu Jul 14, 2022 4:53 pm
by answerhappygod
- For Each Of The Following Questions Use The Given Summary Information From A Simple Linear Regression To Find A Confide 1 (76.45 KiB) Viewed 38 times
For each of the following questions, use the given summary information from a simple linear regression to find a confidence interval and prediction interval when the predictor is x∗ Give your answers to 3 decimal places. 1. We performed a linear regression using 37 observations. From the regression output we find that b0=9.3,b1=11.6,xˉ=14.1,sx=3.6 and MSE=15.21. a. From the least squares line, what is the predicted response when x∗=12.27? y= b. What is the 95% confidence interval for the mean response when x∗=12.27? c. What is the 95% prediction interval for an individual response when x∗=12.27? ( 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 31 observations. From the regression output we find that b0=6.9,b1=13.7,xˉ=13.3,sx=4.3 and MSE=9.61. a. From the least squares line, what is the predicted response when x∗=13.19?y^= b. What is the 95% confidence interval for the mean response when c. What is the 95% prediction interval for an individual response when x∗=13.19 ? । ) d. Which interval is wider? The confidence interval or the prediction interval? a. Confidence Interval b. Prediction Interval