Below is a data for rainfall and runoff volume in Marfa Texas Rainfall 12 14 17 23 30 40 47 Run off 4 10 13 15 15 25 27 26 Rain fall 55 67 72 81 96 112 127 Run off 38 46 53 70 82 99 100 a. Build a linear regression model. b. Find the residual of all the data points. What is the average value of these residuals? What is the average value of the residuals squared? c. What is the total variance of the runoff volume? What proportion of the observed variation of runoff volume can be attributed to the linear relationship between rainfall and run off?

Below is a data for rainfall and runoff volume in Marfa Texas Rainfall 12 14 17 23 30 40 47 Run off 4 10 13 15 15 25 27 26 Rain fall 55 67 72 81 96 112 127 Run off 38 46 53 70 82 99 100 a. Build a linear regression model. b. Find the residual of all the data points. What is the average value of these residuals? What is the average value of the residuals squared? c. What is the total variance of the runoff volume? What proportion of the observed variation of runoff volume can be attributed to the linear relationship between rainfall and run off?

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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