2. We have the following observations of a pair of variables (x, y): (-1; 0), (0; 2), (1; 1) and (4; 3). We examine the linear model of regression y = 2x + 1. What are the errors of this model? Choose the correct answer. 0; -1; 2; 1 1; 1; -2; -6 -1; -1; 2; 4 0; 1; -2; 6 No correct answer given.
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- Cellular Phone Subscribers The table shows the numbers of cellular phone subscribers y in millions in the United States from 2008 through 2013. Source: CTIA- The Wireless Association Year200820092010201120122013Number,y270286296316326336 (a) Find the least squares regression line for the data. Let x represent the year, with x=8 corresponding to 2008. (b) Use the linear regression capabilities of a graphing utility to find a linear model for the data. How does this model compare with the model obtained in part a? (c) Use the linear model to create a table of estimated values for y. Compare the estimated values with the actual data.The table shows the numbers of new-vehicle sales (in thousands) in the United States for Company A and Company B for 10 years. The equation of the regression line is y = 0.977x + 1,252.74. Complete parts (a) and (b) below. New-vehicle sales (Company A), x New-vehicle sales (Company B), y 4,167 3,904 3,581 3,428 3,250 3,124 2,868 2,494 1,925 2,075 4,909 4,869 4,828 4,718 4,640 4,452 4,659 3,829 2,943 2,798 (a) Find the coefficient of determination and interpret the result. 2=0 (Round to three decimal places as needed.)The table shows the numbers of new-vehicle sales (in thousands) in the United States for Company A and Company B for 10 years. The equation of the regression line is y = 0.991x + 1,222.81. Complete parts (a) and (b) below. New-vehicle sales (Company A), x New-vehicle sales (Company B), y 4,149 3,923 3,566 3,400 3,266 3,076 2,868 2,485 1,952 2,066 4,912 4,871 4,827 4,721 4,672 4,474 4,684 3,822 2,956 2,754 (a) Find the coefficient of determination and interpret the result. r² = r2 = 0.821 (Round to three decimal places as needed.) How can the coefficient of determination be interpreted? The coefficient of determination is the fraction of the variation in new-vehicle sales for Company B that can be 2 explained by the variation in new-vehicle sales for Company A and is represented by The remaining fraction of the variation, 1-2, is unexplained and is due to other factors or to sampling error. s (b) Find the standard error of estimates and interpret the result. Se O (Round to three decimal…
- The table shows the numbers of new-vehicle sales (in thousands) in the United States for Company A and Company B for 10 years. The equation of the regression line is y = 0.974x + 1,260.77, Complete parts (a) and (b) below. New-vehicle sales (Company A), x New-vehicle sales (Company B). y 4,162 3,923 3,584 3,400 3,251 3,114|2,845 2,501 4,893 4,833 4,842 4,734 4,649 4,452 4,667 3,801 1,943 2,092 2,959 2,780 (a) Find the coefficient of determination and interpret the result. (Round to three decimal places as needed.) How can the coefficient of determination be interpreted? The coefficient of determination is the fraction of the variation in new-vehicle sales for V that can be explained by the variation in new-vehicle sales for V and is represented by V The remaining fraction of the variation, V . is unexplained and is due to other factors or to sampling error. (b) Find the standard error of estimate s, and interpret the result. Enter your answer in each of the answer boxes. P Type here to…Q2) Find the regression line for the following data, then predict the value of y when x is 5: X 0 2 4 6 8 y 2 4 3 8 1037-38. Given the following data pairs (x, y): (1, 1.24), (2, 5.23). (3, 7.24). (4, 7.60), (5, 9.97), (6, 14.31), (7, 13.99).(8, 14.88), (9, 18.04), (10, 20.70). Find the regression equation O A. y = 0.490 x - 0.053 O B. y = 2.04 x O C. y = 1.98 x + 0.436 O D. y = 0.49 x
- 1) Draw the graph of the estimated regression below. Y₁ = Bo + B₁X₁B₂X² + B3X²How can the coefficient of determination be interpreted?In a multiple regression analysis with three independent variables (X1, X2, and X3), what is the general form of the regression equation used to model the relationship between the dependent variable (Y) and the independent variables (X1, X2, and X3)?
- The personnel director of a large hospital is interested in determining the relationship (if any) between an employee’s age and the number of sick days the employee takes per year. The director randomly selects ten employees and records their age and the number of sick days which they took in the previous year. Employee 1 2 3 4 5 6 7 8 9 10Age 30 50 40 55 30 28 60 25 30 45Sick Days 7 4 3 2 9 10 0 8 5 2 The estimated regression equation and the standard error are given. Sick Days=14.310162−0.236900(Age) Se=1.682207 Find the 95% prediction interval for the average number of sick days an employee will take per year, given the employee is 34 . Round your answer to two decimal places.6. The table shows the average weekly wages (in dollars) for state government employees and federal government employees for 8 years. The equation of the regression line is y = 1.483x - 85.072. Complete parts (a) and (b) below. Average Weekly Wages (state), x Average Weekly Wages (federal), y 754 771 800 820 837 892 924 948 995 1050 1118 1142 1198 1247 1271 1301 (a) Find the coeficient of determination and interpret the result. (Round to three decimal places as needed.) How can the coefficient of determination be interpreted? and is represented by (3) is unexplained and is The coefficient of determination is the fraction of the variation in average weekly wages for (1) due to other factors or to sampling error. that can be explained by the variation in average weekly wages for (2) The remaining fraction of the variation, (4) (b) Find the standard error of estimate s, and interpret the result. Se = (Round to two decimal places as needed.) How can the standard error of estimate be…The table shows the average weekly wages (in dollars) for state government employees and federal government employees for 8 years. The equation of the regression line is y = 1.452x - 53.294. Complete parts (a) and (b) below. Average Weekly Wages (state), x Average Weekly Wages (federal), y 748 780 790 820 838 880 919 948 1008 1052 1112 1151 1200 1242 1280 1293 (a) Find the coefficient of determination and interpret the result. (Round to three decimal places as needed.) How can the coefficient of determination be interpreted? The coefficient of determination is the fraction of the variation in average weekly wages for V that can be explained by the variation in average weekly wages for V and is represented by V The remaining fraction of the variation, is unexplained and is due to other factors or to sampling error. (b) Find the standard error of estimate s, and interpret the result. Se = (Round to two decimal places as needed.) How can the standard error of estimate be interpreted? The…
