A paper suggests that the simple linear regression model is reasonable for describing the relationship between y = eggshell thickness (in micrometers, μm) and x = egg length (mm) for quail eggs. Suppose that the population regression line is y= 0.145 + 0.003x and that o = 0.005. Then, for a fixed x value, y has a normal distribution with mean 0.145 + 0.003x and standard deviation 0.005. (You may need to use table.) USE SALT (a) What is the mean eggshell thickness for quail eggs that are 15 mm in length? 0.19 ✓um What is the mean eggshell thickness for quail eggs that are 17 mm in length? 0.196 ✓ μm (b) What is the probability that a quail egg with a length of 15 mm will have a shell thickness that is greater than 0.19 μm? 100 X (c) Approximately what proportion of quail eggs of length 14 mm have a shell thickness of greater than 0.184? (Hint: The distribution of y at a fixed x is approximately normal. Round your answer to four decimal places.) 0.226 X Approximately what proportion of quail eggs of length 14 mm have shell thickness of less than 0.188? (Round your answer to four decimal places.) X 0.23

A paper suggests that the simple linear regression model is reasonable for describing the relationship between y = eggshell thickness (in micrometers, μm) and x = egg length (mm) for quail eggs. Suppose that the population regression line is y= 0.145 + 0.003x and that o = 0.005. Then, for a fixed x value, y has a normal distribution with mean 0.145 + 0.003x and standard deviation 0.005. (You may need to use table.) USE SALT (a) What is the mean eggshell thickness for quail eggs that are 15 mm in length? 0.19 ✓um What is the mean eggshell thickness for quail eggs that are 17 mm in length? 0.196 ✓ μm (b) What is the probability that a quail egg with a length of 15 mm will have a shell thickness that is greater than 0.19 μm? 100 X (c) Approximately what proportion of quail eggs of length 14 mm have a shell thickness of greater than 0.184? (Hint: The distribution of y at a fixed x is approximately normal. Round your answer to four decimal places.) 0.226 X Approximately what proportion of quail eggs of length 14 mm have shell thickness of less than 0.188? (Round your answer to four decimal places.) X 0.23

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?
Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4
Consider a linear regression model for the decrease in blood pressure (mmHg) over a four-week period with muy=2.8+0.8x and standard deviation chi=3.2. The explanatory variable x is the number of servings fruits and vegetables in a calorie-controlled diet. The decrease in blood pressure y will vary about this subpopulation mean. What is the distribution of y for this subpopulation?
A paper suggests that the simple linear regression model is reasonable for describing the relationship between y = eggshell thickness (in micrometers, um) and x = cag length (mm) for quail eggs. Suppose that the population regression line is y = 0.125 +0.007x and that = 0.005. Then, for a fixed x value, y has a normal distribution with mean 0.125 0.007x and standard deviation 0.005. LAUSE SALT (a) What is the mean eggshell thickness for quail eggs that are 15 mm in length? What is the mean eggshell thickness for quail eggs that are 17 mm in length? μm (b) What is the probability that a quail egg with a length of 15 mm will have a shell thickness that is greater than 0.23 µm2 (c) Approximately what proportion of quail eggs of length 14 mm have a shell thickness of greater than 0.222? (Hint: The distribution of y at a fixed x is approximately normal, Round your answer Approximately what proportion of quail eggs of length 14 mm have a shell thickness of less than 0.2267 (Round your answer…
A paper suggests that the simple linear regression model is reasonable for describing the relationship between y = eggshell thickness (in micrometers, μm) and x = egg length (mm) for quail eggs. Suppose that the population regression line is y = 0.185 +0.007x and that = 0.005. Then, for a fixed x value, y has a normal distribution with mean 0.185 +0.007x and standard deviation 0.005. USE SALT (a) What is the mean eggshell thickness for quail eggs that are 15 mm in length? μm What is the mean eggshell thickness for quail eggs that are 17 mm in length? um (b) What is the probability that a quail egg with a length of 15 mm will have a shell thickness that is greater than 0.29 um? (c) Approximately what proportion of quail eggs of length 14 mm have a shell thickness of greater than 0.282? (Hint: The distribution of y at a fixed x is approximately normal. Round your answer to four decimal places.) Approximately what proportion of quail eggs of length 14 mm have a shell thickness of less…
A paper suggests that the simple linear regression model is reasonable for describing the relationship between y = eggshell thickness (in micrometers, µm) and x = egg length (mm) for quail eggs. Suppose that the population regression line is y = 0.125 + 0.007x and that ?e = 0.005. Then, for a fixed x value, y has a normal distribution with mean 0.125 + 0.007x and standard deviation 0.005. (a) What is the mean eggshell thickness for quail eggs that are 15 mm in length? ____ µm What is the mean eggshell thickness for quail eggs that are 17 mm in length? ____ µm (b) What is the probability that a quail egg with a length of 15 mm will have a shell thickness that is greater than 0.23 µm? _____ (c) Approximately what proportion of quail eggs of length 14 mm have a shell thickness of greater than 0.222? (Hint: The distribution of y at a fixed x is approximately normal. Round your answer to four decimal places.) ____ Approximately what proportion of quail eggs of length…
Consider a linear regression model for the decrease in blood pressure (mmHg) over a four-week period with muy=2.8+0.8x and standard deviation chi=3.2. The explanatory variable x is the number of servings fruits and vegetables in a calorie-controlled diet. What is the slope of the population regression line?
A paper suggests that the simple linear regression model is reasonable for describing the relationship between y = eggshell thickness (in micrometers, µm) and x = egg length (mm) for quail eggs. Suppose that the population regression line is y = 0.185 + 0.007x and that ?e = 0.005. Then, for a fixed x value, y has a normal distribution with mean 0.185 + 0.007x and standard deviation 0.005. (You may need to use a table.) b)What is the probability that a quail egg with a length of 15 mm will have a shell thickness that is greater than 0.29 µm? (c)Approximately what proportion of quail eggs of length 14 mm have a shell thickness of greater than 0.281? (Hint: The distribution of y at a fixed x is approximately normal. Round your answer to four decimal places.) Approximately what proportion of quail eggs of length 14 mm have a shell thickness of less than 0.286? (Round your answer to four decimal places.)
A paper suggests that the simple linear regression model is reasonable for describing the relationship between y = eggshell thickness (in micrometers, Pm) and x = egg length (mm) for quail eggs. Suppose that the population regression line is y = 0.115 + 0.005x and that o = 0.005. Then, for a fixed x value, y has a normal distribution with mean 0.115 + 0.005x and standard deviation 0.005.
suppose that you want to conduct a study on the relationship between women's shoe sizes and their height, and you have collected samples of female undergraduates at your university. The mean height of women in your sample is 64 inches, with a standard deviation of 2 inches. The mean shoe size is 8, with a standard deviation of 1. The correlation between the shoe size and height in your sample is .05. What is the least squares estimate of the slope parameter in your regression model?
suppose that you want to conduct a study on the relationship between women's shoe sizes and their height, and you have collected samples of female undergraduates at your university. The mean height of women in your sample is 64 inches, with a standard deviation of 2 inches. The mean shoe size is 8, with a standard deviation of 1. The correlation between the shoe size and height in your sample is .05. What is the least squares estimate of the slope parameter in your regression model? NOTE: Please explain how you selected your X and Y parameters. The question does not specifiy if shoe size is X and height is Y or vise versa! Thank you
Consider a linear regression model for the decrease in blood pressure (mmHg) over a four-week period with muy=2.8+0.8x and standard deviation chi=3.2. The explanatory variable x is the number of servings fruits and vegetables in a calorie-controlled diet. What is the subpopulation mean when x = 7 servings per day?