75. A data set consists of the following ordered pairs: {(1, 17), (3, 13), (4, 11), (7, 5), (8, 3)} What is the equation of the linear regression model? y = -2x + 17 y = -2x + 19 y = -4x + 19 y = -4x + 17

75. A data set consists of the following ordered pairs: {(1, 17), (3, 13), (4, 11), (7, 5), (8, 3)} What is the equation of the linear regression model? y = -2x + 17 y = -2x + 19 y = -4x + 19 y = -4x + 17

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter4: Linear Functions

Section: Chapter Questions

Problem 8PT: Does Table 1 represent a linear function? If so, finda linear equation that models the data.

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Similar questions

Does Table 1 represent a linear function? If so, finda linear equation that models the data.
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 = 0.974x + 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…
These are the values in Irwin's data set. (1,43),(3,36),(5,22),(6,25),(8,14) Irwin determined the equation of a linear regression line, and dete (1,44),(3,35),(5,26),(6,22),(8,13) Use the point tool to graph the residual plot for the data set.
23. A data set consists of the following ordered pairs: {(0, 8), (2, 11), (6, 17), (8, 20), (9, 21.5)} What is the slope of the linear regression model for this 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 = 0.991x + 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 average weekly wages (in dollars) for state government employees and federal government employees for 8 years. The equation of the regression line is y 1.405x-12.668. Complete parts (a) and (b) below. Average Weekly Wages (state), x 758 767 785 820 Average Weekly Wages (federal), y 835 889 927 948 1008 1045 1120 1150 1202 1255 1278 1292 (a) Find the coefficienkof determination and interpret the result. (Round to three decimal places as needed.) Enter your answer in the answer box and then click Check Answer. Check Answer Clear All 3 parts remaining javascript:doExercise(25); 6f DI DIl 80 888 FS F3 F4 esc 9% & %23 %24 5 6 80 2 3 Y. U E RI K H. w/
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…
It is believed that the electrical energy that a chemical plant consumes each month is related to the average environmental temperature, the number of days in the month, the average purity of the product, and the tons of product manufactured. Historical data is available for the previous year and is presented in the following table (seen in the image=. Perform simple linear regression analysis
We have data on Lung Capacity of persons and we wish to build a multiple linear regression model that predicts Lung Capacity based on the predictors Age and Smoking Status. Age is a numeric variable whereas Smoke is a categorical variable (0 if non-smoker, 1 if smoker). Here is the partial result from STATISTICA. b* Std.Err. of b* Std.Err. N=725 of b Intercept Age Smoke 0.835543 -0.075120 1.085725 0.555396 0.182989 0.014378 0.021631 0.021631 -0.648588 0.186761 Which of the following statements is absolutely false? A. The expected lung capacity of a smoker is expected to be 0.648588 lower than that of a non-smoker. B. The predictor variables Age and Smoker both contribute significantly to the model. C. For every one year that a person gets older, the lung capacity is expected to increase by 0.555396 units, holding smoker status constant. D. For every one unit increase in smoker status, lung capacity is expected to decrease by 0.648588 units, holding age constant.
18. Explain the general principle used to train linear regression models.