Data are collected for the final exam scores y of n = 10 randomly selected students from a statistics class and the number of hours x they slept the night before the exam. Summary statistics arex= 4.2, s_x= 1.874, and s_e= 6.305; the least squares line is= 5.044x + 56.11. Construct a 95%prediction intervalfor the mean final exam score of a particular student that got x = 5 hours of sleep the night before the exam (use 2 decimal places). Right-click the links to open a pdft-tableand thisExcel filetemplate.

lower bound

Upper bound

Confidence and Prediction Intervals for Simple Linear Regression new x 3 Confidence Interval Estimate predicted y 4.55 4.55 0.213683 sample size 10 confidence interval lower bound 4.336317 confidence level 0.95 confidence interval upper bound 4.763683 standard error of slope SE(b1) 0.12752 Prediction Interval Estimate mean of x 2.9 4.55 0.702578 standard error s_e 0.29024 prediction interval lower bound 3.847422 prediction interval upper bound 5.252578