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5. A study on bone density at a local hospital produced the following results. The regression equation was found to be y' = 1228.653 - 8.695x. The standard error of estimate is 41.661. Using the sample below find the 98% prediction interval of the bone density of a 53 year old math professor named Alma. Statement required. y = 1220 653- 8.695 (53) = 767. Ble Age BD xy x2 34 346 32164 1156 894916 Sest = 41- 661 43 875 37625 1849 765625 too = 2.326 5( 53- 10.6 ) 2 49 804 39396 2401 646416 5 ( 12232 ) - (242 ) 2 51 723 36873 2601 522729 n = s 65 691 44915 4225 477481 X = 53 = 2.159 242 4039 190973 12232 3307167 X = 53 _ 10- 6 y ' - top . sest ( 2 . 159 )