Use the given data to find the best predicted value of the response variable.Six pairs of data yield r = 0.789 and the regression equation y = 4x - 2. Also, y= 19.0. What is the best predicted value of y for x = 5?18.019.018.522.0 Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary.Ten students in a graduate program were randomly selected. Their grade point averages (GPAS) when they entered the program were between 3.5 and 4.0. The following datawere obtained regarding their GPAS on entering the program versus their current GPAS.Entering GPACurrent GPA3.53.63.83.73.63.93.63.63.53.93.93.84.03.73.93.53.83.74.0y = 3.67 + 0.0313xy = 4.91 + 0.0212xy = 2.51 + 0.329xy = 5.81 + 0.497x

GivenRegression equation is y^=4x-2y=19.0r=0.789

Answered: Use the given data to find the best…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.6: Regression And Median-fit Lines

Problem 4PPS

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The following fictitious table shows kryptonite price, in dollar per gram, t years after 2006. t= Years since 2006 0 1 2 3 4 5 6 7 8 9 10 K= Price 56 51 50 55 58 52 45 43 44 48 51 Make a quartic model of these data. Round the regression parameters to two decimal places.
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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Use the given data to find the best predicted value of the response variable. Six pairs of data yield r = 0.789 and the regression equation y = 4x – 2. Also, y= 19.0. What is the best predicted value of y for x = 5? O 18.0 19.0 O 18.5 O 22.0