332 284 778 990 475 1285 736 1132Solutionthe value of Yhat w

3.32, 2.84

7.78, 9.90

4.75, 12.85

7.36, 11.32

the value of Y-hat when X =4 is = 8.8.......

std. error = 1.66 * sqrt [ 1+ ( 1 /10) + { ( 4 - ( 32/10 ) ) / 31.6 } ] = 1.760944...
t-critical value at 95% confidence and d.f 9 = 2.262157.....

so, t * std. error = 2.262157* 1.760944 = 3.983532..
prediction interval = [ 8.8 - 3.983532 , 8.8 + 3.983532 ] = [ 4.75 , 12,85 ]