33. The data from exercise 2 follow. r3 12 6 20 14 y 55 40 55 10 15 a. Estimate
ID: 3371747 • Letter: 3
Question
33. The data from exercise 2 follow. r3 12 6 20 14 y 55 40 55 10 15 a. Estimate the standard deviation of when x8 b. Develop a 95% confidence interval for the expected value of y c. Estimate the standard deviation of an individual value of y wh d. Develop a 95% prediction interval for y when x 8. The data from exercise 3 follow. en x = 8 34. , |2 6 9 13 20 y 7 18 9 26 23 Develop the 95% confidence and prediction intervals when x-12. Explain wh intervals are different. Applications 35. The following data are the monthly salaries y and the grade point averages r for studg LF test who obtained a bachelor's degree in business administratinExplanation / Answer
34. R codes:
> x=c(2,6,9,13,20)
> y=c(7,18,9,26,23)
> model=lm(y~x)
> newdata=data.frame(x=12)
> predict(model,newdata,interval="predict")
fit lwr upr
1 18.4 -4.507719 41.30772
> predict(model,newdata,interval="confidence")
fit lwr upr
1 18.4 8.65319 28.14681
PREDICTION INTERVAL : (-4.507719,41.30772) implies that the predicted value of the dependent variable falls in this range.
CONFIDENCE INTERVAL : (8.65319,28.14681) implies that the mean of the dependent variable lies in the given range.
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