Ten rats were randomly assigned a solid diet and 10 in a liquid diet. At the end of the feeding period, the total protein intake x (in grams) and the weight gain y (in grams) were recorded for each of the rats. A straight line was fit to the 10(x, y) data points for each diet by the method of least squares. The least square prediction equations follows: Liquid : y =110-0.75x Solid: y = 84 + 3.66x Interpret the estimated y-intercept and slope for each diet. For each diet, find the predicted weight gain of a rat with a protein instake of 10 grams.

Ten rats were randomly assigned a solid diet and 10 in a liquid diet. At the end of the feeding period, the total protein intake x (in grams) and the weight gain y (in grams) were recorded for each of the rats. A straight line was fit to the 10(x, y) data points for each diet by the method of least squares. The least square prediction equations follows: Liquid : y =110-0.75x Solid: y = 84 + 3.66x Interpret the estimated y-intercept and slope for each diet. For each diet, find the predicted weight gain of a rat with a protein instake of 10 grams.

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 29EQ

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