Find the least regression line of (0, -3), (1, –1), (2, 1) and (3, 3)

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Answered: Find the least regression line of (0,…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CM: Cumulative Review

Problem 21CM

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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?
Explain the differences between Gaussian elimination and Gauss-Jordan elimination.
Find the least-squares regression line ý = b + b₁ through the points (-2,0), (0,9), (5, 15), (8,20), (12,24). For what value of x is y = 0
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find the line of best fit (linear regression) (3,4)(7,6) and (-2,-4) (-7,1)(3,8) and (9,7) (-3,6)(-2,1) (6,-4) (-8,7)(-5,3)(3,6)(9,0) (-7,-1)(-5,-9)(3,3)(6,9) (-8,6)(-8,-2)(-6,-9)(-5,-4)
Find the least-squares regression line ŷ bo+ b₁z through the points For what value of is y = 0? H= (-2,0), (1, 6), (4, 14), (8, 19), (10, 27).
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Here, mean of X is 3 and the mean of Y is 7. The regression line that predicts Y from X necessarily goes through the point (3,7). True False
Find the least squares regression line.(−5, 1), (1, 3), (2, 3), (2, 5)

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Find the least regression line of (0, -3), (1, -1), (2, 1) and (3, 3