The table below shows the weights z to the nearest pound, heights x to the nearest inch, and ages y to the nearest year, of 12 boys. Find the least-squares regression equation of z or x and y. Weight (2) 64 71 53 67 55 58 77 57 56 51 76 68 Height (x) 57 59| 49 62 51 50 55 48 52 42 61 57 8 10 6 11 8 7 10 9 10 6 12 9 Age (y)

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.4: Mathematical Models And Least Squares Analysis
Problem 39E
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The table below shows the weights z to the nearest pound, heights x to the nearest inch,
and ages y to the nearest year, of 12 boys. Find the least-squares regression equation of z on
x and y.
Weight (2) 64 71 53 67 55 58 77 57 56 51 76 68
Height (x) 57 59| 49 62 51 50 55 48 52 42 61 57
8 10 6 11 8 7 10 9 10 6 12 9
Age (y)
O a. z = 4.39 + 0.821x + 1.576y
Ob.
z = 3.22 + 0.805x + .006y
:06
Z = 3.65 + 0.855x + 1.506y
Transcribed Image Text:The table below shows the weights z to the nearest pound, heights x to the nearest inch, and ages y to the nearest year, of 12 boys. Find the least-squares regression equation of z on x and y. Weight (2) 64 71 53 67 55 58 77 57 56 51 76 68 Height (x) 57 59| 49 62 51 50 55 48 52 42 61 57 8 10 6 11 8 7 10 9 10 6 12 9 Age (y) O a. z = 4.39 + 0.821x + 1.576y Ob. z = 3.22 + 0.805x + .006y :06 Z = 3.65 + 0.855x + 1.506y
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