weito (12 points) For each of the following questions, use the given summary information from a simple linear regression
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weito (12 points) For each of the following questions, use the given summary information from a simple linear regression
weito (12 points) For each of the following questions, use the given summary information from a simple linear regression to find a confidence interval and prediction intervat when the predictor is r' Give your answers to 3 decimal places 1. We performed a linear regression using 37 observations. From the regression output we find that by = 8.1, by 11.2 = 11.5, , - 1.7 and a. From the least squares line, what is the predicted response when z* = 9.98? b. What is the 95% confidence interval for the mean response when z' 9.987 MSE 17.64 c. What is the 95% prediction interval for an individual response when z" - 0.08? d. Which interval is wider? The confidence interval or the prediction interval O a Confidence interval b. Prediction interval 2. We performed a linear regression using 25 observations. From the regression output we find that by = 9.8. b. - 12.9.2= 13... = 4.3 and MSE 21.16 a. From the least squares line what is the predicted response when x = 12.407 be d. What is the 95% confidence interval for the mean response when x' - 12.462 c. What is the 95% prediction interval for an individual response when x' = 12.467 d. Which interval is wider? The confidence interval or the prediction interval? a Confidence interval b. Prediction interval
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