Compute the coefficients b₁ and b₂ for the regression model y₁ = 60+ b₁x₁₁ +b2×21 given the summary statistics shown below.a. Tx₁yb. rx₁yc. Tx₁yd.= 0.80, x2y=0.60,=200, Sx2= 0.40, Sx₁0,5x1x2=-0.80, гx2y=0.60, rx₁x2 = -0.40, Sx₁ = 200, Sx2= 100, sy = 500= 100,0, Sy = 500100, Sy= 500=0.80, x2y = -0.20,0, rx₁x2 = -0.10, Sx₁=200, Sx2= 100, Sy= 500=0.50, rx2y=0.75, x₁x2 = 0.70, Sx₁ =200, Sx2 =

The regression model Here we want to find the coefficients b1 and b2

Answered: Compute the coefficients b₁ and b₂ for…

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 33EQ

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Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s pole vault height has fallen below the value predicted by the regression line in Example 2. This might have occurred because when the pole vault was a new event there was much room for improvement in vaulters’ performances, whereas now even the best training can produce only incremental advances. Let’s see whether concentrating on more recent results gives a better predictor of future records. (a) Use the data in Table 2 (page 176) to complete the table of winning pole vault heights shown in the margin. (Note that we are using x=0 to correspond to the year 1972, where this restricted data set begins.) (b) Find the regression line for the data in part ‚(a). (c) Plot the data and the regression line on the same axes. Does the regression line seem to provide a good model for the data? (d) What does the regression line predict as the winning pole vault height for the 2012 Olympics? Compare this predicted value to the actual 2012 winning height of 5.97 m, as described on page 177. Has this new regression line provided a better prediction than the line in Example 2?
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