The following output summarizes the results of a simple linear regression of a response variable Y on an explanatory variable X. Coefficients: Estimate Std. Error t value Pr(>|t|) 67.59 (Intercept) 9.9036 0.1465 2.0111 0.1337 <2e-16 15.05 <2e-16 One of the values in the data set had a value of X of 2.0 and a value of Y of 13.6. What is the value of the residual associated with this observation? (Give your response to at least 3 decimal places. Give only your numeric response, and not any extra characters or symbols.)

The following output summarizes the results of a simple linear regression of a response variable Y on an explanatory variable X. Coefficients: Estimate Std. Error t value Pr(>|t|) 67.59 (Intercept) 9.9036 0.1465 2.0111 0.1337 <2e-16 15.05 <2e-16 One of the values in the data set had a value of X of 2.0 and a value of Y of 13.6. What is the value of the residual associated with this observation? (Give your response to at least 3 decimal places. Give only your numeric response, and not any extra characters or symbols.)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter5: A Survey Of Other Common Functions

Section5.6: Higher-degree Polynomials And Rational Functions

Problem 1TU: The following fictitious table shows kryptonite price, in dollar per gram, t years after 2006. t=...

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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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