Linear Regression Prediction Interval Worksheet Show all steps in the process of solving for the problem. #1) Construct a 95% prediction interval for the data in the table below for when x = 845. The equation of the regression line is y = 1.559326 7 143.6443. X Y 726 777 796 l 815 839 884 922 931 948 957 1,000 1,033 1,094 l 1,140 1,197 1,230 1,266 1,308 1,323 1,375 a.) Find the t: critical value. Round tofour decimals. t5 = b.) Find the Se from "STAT > TESTS > LinReg'l'l'est" in your graphing calculator. Round to four decimals. Se: c.) From above, write down the values for "x0" and "n\" both are found / given above. x0 = n: d.) Find the following values from using l-Vars Stats on L1 in your graphing calculator. Round to four decimals, if needed. RI *'N H n MM H II e.) Put together your answers from (a-d) above into the Margin of Error formula below. Write out the formula with ALL values plugged in. Then type it all into your graphing calculator in ONE step. Round to four decimals. f.) Find the estimated if value plug X" into the given ? equation. Round tofour decimals. g.) Finish this off with writing the condence interval! Using (5? 5,? + E) -write out the interval below. Round to four decimals