average height at 6 was 3 feet and 10 inches, SD=1.7 inches average height at 18

Question

average height at 6 was 3 feet and 10 inches, SD=1.7 inches average height at 18 was 5 feet and 10 inches, SD=2.5 inches r = 0.80
a. find the r.m.s. error for the regression prediction ofheight at 18 from height at 6.
b. find the r.m.s. error for the regression prediction ofheight at 6 from height at 18. average height at 18 was 5 feet and 10 inches, SD=2.5 inches r = 0.80
a. find the r.m.s. error for the regression prediction ofheight at 18 from height at 6.
b. find the r.m.s. error for the regression prediction ofheight at 6 from height at 18.

Explanation / Answer

a.The r.m.s. error for the regressionprediction of height at 18 from height at 6. is givenby = Standard deviation of heght at 18(1-r2 ) = 2.5 (1-0.82 )
= 1.5 b. The r.m.s. error for the regressionprediction of height at 6 from height at 18 is givenby = Standard deviation of heght at 6(1-r2 ) = 1.7(1-0.82 )
= 1.02 = Standard deviation of heght at 6(1-r2 ) = 1.7(1-0.82 )
= 1.02

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