A breeder of thoroughbred horses wishes to model the relationship between the gestation period in days (a) and the life span in years (y) of a horse. The breeder believes that the two variables may follow a linear trend. The information in the following table was supplied to the breeder from various thoroughbred stables across the state. Horses 1. 2 4 6 24 25.5 20 21.5 22 23.5 21 416 279 298 307 356 403 265 This data set produces the following statistics: - , Σ. 2324, Ea2 = 793320, Ey 157.5, E = 3565.75, Ey=52526.5 (a) Compute SSea, SSay, and SSy. Compute the linear correlation coefficient r and interpret your result. (b)

A breeder of thoroughbred horses wishes to model the relationship between the gestation period in days (a) and the life span in years (y) of a horse. The breeder believes that the two variables may follow a linear trend. The information in the following table was supplied to the breeder from various thoroughbred stables across the state. Horses 1. 2 4 6 24 25.5 20 21.5 22 23.5 21 416 279 298 307 356 403 265 This data set produces the following statistics: - , Σ. 2324, Ea2 = 793320, Ey 157.5, E = 3565.75, Ey=52526.5 (a) Compute SSea, SSay, and SSy. Compute the linear correlation coefficient r and interpret your result. (b)

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 31EQ

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