7 Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 130 to 189 cm and weights of 40 to 150 kg. Let the predictor variable xbe the first variable given. The 100 paired measurements yield x = 167.08 cm, y = 81.19 kg, r=0.133, P-value = 0.187, and y= -106 + 1.12x. Find the best predicted value of y(weight) given an adult male who is 160 cm tall. Use a 0.05 significance level.Click the icon to view the critical values of the Pearson correlation coefficient r.The best predicted value of y for an adult male who is 160 cm tall is(Round to two decimal places as needed.)kg. The best(Round ton456789101112131415161718192025303540455060708090100nCritical Values of the Pearson Correlation Coefficient rα=0.050.9500.8780.8110.7540.7070.6660.6320.6020.5760.5530.5320.5140.4970.4820.4680.4560.4440.3960.3610.3350.3120.2940.2790.2540.2360.2200.2070.196α=0.05α=0.010.9900.9590.9170.8750.8340.7980.7650.7350.7080.6840.6610.6410.6230.6060.5900.5750.5610.5050.4630.4300.4020.3780.3610.3300.3050.2860.2690.256α = 0.01NOTE: To test Ho: p=0against H₁: p#0, reject Hoif the absolute value of r isgreater than the criticalvalue in the table.

The p-value is 0.187.The level of significance is 0.05.

Answered: Heights (cm) and weights (kg) are…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section: Chapter Questions

Problem 10T: Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s...

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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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