Write all steps 3. For the data provided in the given tableThermocouple(x)821835816820840836825840833827IR818 834824821845830819843832835measurement(y)a) Fit a simple linear regression model.b) Calculate the correlation coefficient.

Given data is Thermocouple (x) IR measurement (y) 821 818 835 834 816 824 820 821…

Answered: 3. For the data provided in the given…

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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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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3. For the data provided in the given table Thermocouple 821 835 (x) 816 820 840 836 825 840 833 827 IR 818 834 824 821 845 830 819 843 832 835 measurement (y) a) Fit a simple linear regression model. b) Calculate the correlation coefficient.