In a laboratory experiment on correlation research study the equation of the two regression lines were found to be 2x – y + 1 = 0 and 3x – 2y + 7 = 0. Find the means of X and Y. Also work out the values of the regression coefficient and correlation between the two variables X and Y.

In a laboratory experiment on correlation research study the equation of the two regression lines were found to be 2x – y + 1 = 0 and 3x – 2y + 7 = 0. Find the means of X and Y. Also work out the values of the regression coefficient and correlation between the two variables X and Y.

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

Chapter4: Graphing And Inverse Functions

Section: Chapter Questions

Problem 6GP: If your graphing calculator is capable of computing a least-squares sinusoidal regression model, use...

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In a laboratory experiment on correlation research study the equation of the two regression
lines were found to be 2x – y +1 = 0 and 3x – 2y + 7 = 0. Find the means of X and
Y. Also work out the values of the regression coefficient and correlation between the two
variables X and Y.

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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?