A number of Investigations have focused on the problem of assessing loads that can be manually handled in a safe manner. A particular article proposed using a regression model to relate the following dependent variable (y) to k=3 independent (predictor) variables. y= individual's rating of acceptable load (kg) x₁ = extent of left lateral bending (cm) x2 dynamic hand grip endurance (sec) x3 = trunk extension ratio (N/kg) Suppose that the model equation is the following and that σ = 6. y=30+.90+.08.2-4.50x3+e (a) What is the mean value of rating of acceptable load when extent of left lateral bending is 25 cm, dynamic hand grip endurance is 190 sec, and trunk extension ratio is 10 N/kg? (b) If repeated observations on rating are made on different individuals, all of whom have the values of x1, x2, and X3 specified in Part (a), in the long run approximately what proportion of ratings will be between 10.7 kg and 34.7 kg? (Use Table 2 in Appendix A. Round your answer to four decimal places.)

A number of Investigations have focused on the problem of assessing loads that can be manually handled in a safe manner. A particular article proposed using a regression model to relate the following dependent variable (y) to k=3 independent (predictor) variables. y= individual's rating of acceptable load (kg) x₁ = extent of left lateral bending (cm) x2 dynamic hand grip endurance (sec) x3 = trunk extension ratio (N/kg) Suppose that the model equation is the following and that σ = 6. y=30+.90+.08.2-4.50x3+e (a) What is the mean value of rating of acceptable load when extent of left lateral bending is 25 cm, dynamic hand grip endurance is 190 sec, and trunk extension ratio is 10 N/kg? (b) If repeated observations on rating are made on different individuals, all of whom have the values of x1, x2, and X3 specified in Part (a), in the long run approximately what proportion of ratings will be between 10.7 kg and 34.7 kg? (Use Table 2 in Appendix A. Round your answer to four decimal places.)

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?
A number of investigations have focused on the problem of assessing weights that can be lifted in a safe manner. A particular article proposed using a regression model to relate the following dependent variable (y) to k = 3 independent (predictor) variables. y = individual's rating of acceptable weight (kg) X1 = extent of left lateral bending (cm) dynamic hand grip endurance (sec) X2 = trunk extension ratio (N/kg) X3 Suppose that the model equation is the following and that o = 6. y = 29 + 0.91x, + 0.07x2 – 4.60x3 + e (a) What is the mean rating of acceptable weight (in kg) when extent of left lateral bending is 50 cm, dynamic hand grip endurance is 200 sec, and trunk extension ratio is 9 N/kg? kg (b) If repeated observations on rating are made on different individuals, all of whom have the values of x,, x, and x, specified in part (a), in the long run approximately what percentage of ratings will be between 35.1 kg and 59.1 kg? (Round your answer to four decimal places.) You may need…
A number of investigations have focused on the problem of assessing loads that can be manually handled in a safe manner. A particular article proposed using a regression model to relate the following dependent variable (y) to k = 3 independent (predictor) variables. y = individual's rating of acceptable load (kg)x1 = extent of left lateral bending (cm)x2 = dynamic hand grip endurance (sec)x3 = trunk extension ratio (N/kg) Suppose that the model equation is the following and that ? = 6. (a) What is the mean value of rating of acceptable load when extent of left lateral bending is 45 cm, dynamic hand grip endurance is 210 sec, and trunk extension ratio is 12 N/kg?(b) If repeated observations on rating are made on different individuals, all of whom have the values of x1, x2, and x3 specified in Part (a), in the long run approximately what proportion of ratings will be between 21.3 kg and 45.3 kg? (Use Table 2 in Appendix A. Round your answer to four decimal places.)
A number of investigations have focused on the problem of assessing weights that can be lifted in a safe manner. A particular article proposed using a regression model to relate the following dependent variable (y) to k = 3 independent (predictor) variables. y = individual's rating of acceptable weight (kg) x₁ extent of left lateral bending (cm) X₂= dynamic hand grip endurance (sec) x= trunk extension ratio (N/kg) Suppose that the model equation is the following and that 6. y = 29 +0.89x, +0.06x₂ - 4.70x + e USE SALT (a) What is the mean rating of acceptable weight (in kg) when extent of left lateral bending is 45 cm, dynamic hand grip endurance is 210 sec, and trunk extension ratio is 11 N/kg? kg (b) If repeated observations on rating are made on different individuals, all of whom have the values of x₁, x₂, and x specified in part (a), in the long run approximately what percentage of ratings will be between 17.95 kg and 41.95 kg? (Round your answer to four decimal places.)
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