E-Question 18/21> NEXTBOOKMARKof18The table below shows the number of hours ten students spent studying for a test and their scores.(e)Hours Spent Studying (x)982882.4.Test Scores (y)4.8295929Write the linear regression equation for this data set. Round all values to the nearest hundredth.(b) State the correlation coefficient of this line, to the nearest hundredth.(c) Explain what the correlation coefficient suggests in the context of the problem.IIO24to696inki

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Answered: 4. 4, 18 The table below shows the…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 2AGP

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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?
For the following exercises, use Table 4 which shows the percent of unemployed persons 25 years or older who are college graduates in a particular city, by year. Based on the set of data given in Table 5, calculate the regression line using a calculator or other technology tool, and determine the correlation coefficient. Round to three decimal places of accuracy
For the following exercises, consider the data in Table 5, which shows the percent of unemployed in a city ofpeople25 years or older who are college graduates is given below, by year. 41. Based on the set of data given in Table 7, calculatethe regression line using a calculator or othertechnology tool, and determine the correlationcoefficient to three decimal places.
If the coefficient of determination is 0.86 with corresponding regression line ˆy=2x+10, what is the correlation coefficient? (Hint: r is the correlation coefficient and must have the same sign as the slope of the regression line) (i) 0.9274 (ii) -0.9274 (iii) -0.7396 (iv) 0.0726
If a sample of 25 pairs of data yields a correlation coefficient, r, of 0.390 and the scatterplot displays a linear trend, can you use the regression equation to make predictions, assuming your x-values are within the domain of the data set? Choose your answer from the multiple choice answers below A.) Yes, because rcrit = 0.396 and the regression coefficient, r, is less than this value. B.) Yes, because rcrit = 0.381 and the regression coefficient, r, is greater than this value. C.) No, because rcrit = 0.381 and the regression coefficient, r, is greater than this value. D.) No, because rcrit = 0.396 and the regression coefficient, r, is less than this value.
An amusement park sales director is interested in predicting the number of beverages purchased based on the daily temperature so she can assign staff accordingly. The director already knows that there is a significant relationship between number of beverages purchased and the daily temperature. 1 Should the amusement park sales director use a correlation coefficient or regression to predict the number of beverages purchased from the daily temperature and why? 2 What variable would you assign to X and what variable would you assign to Y? 3 What are the terms for the X and Y variables?

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4. 4, 18 The table below shows the number of hours ten students spent studying for a test and their scores. (e) Hours Spent Studying (x) 8 2. 46 65 67 70 82 88 9 9 Test Scores (y) 35 S6 28 Write the linear regression equation for this data set. Round all values to the nearest hundredth.