Consider the set of ordered pairs shown below. Assuming that the regression equation is y = 2.980 + 0.455x and the SSE = 8.255, construct a 95% prediction interval for x = 5.2X8343y67353Click the icon to view a portion of the student's t-distribution table.Calculate the upper and lower limits of the prediction interval.UPL =LPL =(Round to three decimal places as needed.)

Answered: Image /qna-images/answer/e2379181-94c1-4552-bd1e-0120ea93fd49.jpg

Answered: Consider the set of ordered pairs shown…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.6: Regression And Median-fit Lines

Problem 17HP

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Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4
Life Expectancy The following table shows the average life expectancy, in years, of a child born in the given year42 Life expectancy 2005 77.6 2007 78.1 2009 78.5 2011 78.7 2013 78.8 a. Find the equation of the regression line, and explain the meaning of its slope. b. Plot the data points and the regression line. c. Explain in practical terms the meaning of the slope of the regression line. d. Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 2019? e. Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 1580?2300
Find the mean hourly cost when the cell phone described above is used for 240 minutes.
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?
XYZ Corporation Stock Prices The following table shows the average stock price, in dollars, of XYZ Corporation in the given month. Month Stock price January 2011 43.71 February 2011 44.22 March 2011 44.44 April 2011 45.17 May 2011 45.97 a. Find the equation of the regression line. Round the regression coefficients to three decimal places. b. Plot the data points and the regression line. c. Explain in practical terms the meaning of the slope of the regression line. d. Based on the trend of the regression line, what do you predict the stock price to be in January 2012? January 2013?
The accompanying table shows the percentage of employment in STEM (science, technology, engineering, and math) occupations and mean annual wage (in thousands of dollars) for 16 industries. The equation of the regression line is 31.218x +45.915. Use these data to construct a 95% prediction interval for the mean annual wage (in thousands of dollars) when the percentage of employment in STEM occupations is 14% in the industry. Interpret this interval. E Click the icon to view the mean annual wage data. Construct a 95% prediction interval for the mean annual wage (in thousands of dollars) when the percentage of employment in STEM occupations is 14% in the industry.
Construct and interpret a 95% prediction interval for the proceeds when the number of issues is 612.
Construct and interpret a 95% prediction interval for the proceeds when the number of issues is 658.
Assume a regression model is y= -4.72+3.27. give a forecast of y when x= 25.62
The data show the chest size and weight of several bears. Find the regression equation, letting chest size be the independent (x) variable. Then find the best predicted weight of a bear with a chest size of 53 inches. Is the result close to the actual weight of 595 pounds? Use a significance level of 0.05. a. What is the regression equation? y= (Round to one decimal place as needed.) b. What is the best predicted weight of a bear with a chest size of 53 inches? The best predicted weight for a bear with a chest size of 53 inches is pounds. (Round to one decimal place as needed.)
The data show the chest size and weight of several bears. Find the regression equation, letting chest size be the independent (x) variable. Then find the best predicted weight of a bear with a chest size of 58 inches. Is the result close to the actual weight of 572 pounds? Use a significance level of 0.05. Chest size (inches) 46 57 53 41 40 40 Weight (pounds) 384 580 542 358 306 320 LOADING... Click the icon to view the critical values of the Pearson correlation coefficient r. What is the regression equation? y=nothing+nothingx (Round to one decimal place as needed.)
The data show the number of viewers for television stars with certain salaries. Find the regression equation, letting salary be the independent (x) variable. Find the best predicted number of viewers for a television star with a salary of $13 million. Is the result close to the actual number of viewers, 5.7 million? Use a significance level of 0.05. 98 Salary (millions of $) Viewers (millions) 14 2 3.2 9.1 4.6 11 11 7 14 1 D 10.8 10.7 6.3 2.9 4.4 Click the icon to view the critical values of the Pearson correlation coefficient r. Critical Values of the Pearson Correlation Coefficient r What is the regression equation? Critical Values of the Pearson Correlation Coefficient r n α = 0.05 α = 0.01 NOTE: To test H₂: p=0 = + x (Round to three decimal places as needed.) 4 0.950 0.990 against H₁: p‡0, reject Ho 5 0.878 0.959 if the absolute value of r is 6 0.811 0.917 greater than the critical What is the best predicted number of viewers for a television star with a salary of $13 million? The…

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