The annual profits for a company are given in the following table, where x represents the number of years since 2004, and y represents the profit in thousands of dollars. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth. Using this equation, find the projected profit (in thousands of dollars) for 2012, rounded to the nearest thousand dollars. Years since 2004 (x) Profits (y) (in thousands of dollars) 0 110 1 137 2 135 3 141 4 160 5 172

The annual profits for a company are given in the following table, where x represents the number of years since 2004, and y represents the profit in thousands of dollars. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth. Using this equation, find the projected profit (in thousands of dollars) for 2012, rounded to the nearest thousand dollars. Years since 2004 (x) Profits (y) (in thousands of dollars) 0 110 1 137 2 135 3 141 4 160 5 172

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

See similar textbooks

Similar questions

What is regression analysis? Describe the process of performing regression analysis on a graphing utility.
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
Table 6 shows the year and the number ofpeople unemployed in a particular city for several years. Determine whether the trend appears linear. If so, and assuming the trend continues, in what year will the number of unemployed reach 5 people?
The following table shows the amount of a chemical substance over time. Time (hours) Amount (mg) 25 37 27 28 32 27 34 26 44 24 (a) Find a linear regression equation based on the table. Round each number to two decimal places and use x for the variable. (b) Using your equation from (b), estimate the amount of the substance in 24 hours. milligrams
The accompanying table shows the number of bacteria present in a certain culture over a 5 hour period, where x is the time, in hours, and y is the number of bacteria.Write an exponential regression equation for this set of data, rounding all coefficients to the nearest thousandth. Using this equation, determine the number of bacteria present after 12 hours, to the nearest whole number. Hours (x) Bacteria (y) 664 1 793 940 3 1086 4 1371 1636
Run a simple regression on E views and interpret the results
Define the different ways to use linear regression?
Scenario: A medical researcher wishes to see whether there is a relationship between a person's age, cholesterol level, and systolic blood pressure. Eight people are randomly selected. The data is listed in the table. First, find the multiple regression equation. Next, determine the coefficient of determination. Then, use the regression equation to predict a person's blood pressure reading if the person selected is 50 years old with a cholesterol reading of 220. Age Cholesterol level Blood pressure Person 1 38 220 116 Person 2 41 225 120 Person 3 45 200 123 Person 4 48 190 131 Person 5 51 250 142 Person 6 53 215 145 Person 7 57 200 148 Person 8 61 170 150 Discussion Prompts Respond to the following prompts in your initial post: 1. Identify the explanatory variables and response variable for the data. 2. What is the multiple regression equation for the data? 3. What is the coefficient of determination? 4. If a person 50 years old with a cholesterol of 220 is selected, what is that…
What is the slope and intercept for the regression equation given this data?X = -5, 34, 56, 0, 61Y = 13, 63, 46, -23, 50
M3
Illustration 15.35. In trying to evaluate the effectiveness of its advertising campaign, a firm compiled the following data: Year: 1973 1974 1975 1976 1977 1978 1979 1980 48 Expenditure ('000): 12 Sale (lacs): 15 15 23 24 38 42 5.0 5.6 5.8 7.0 7.2 8.8 9.2 9.5
What is the linear regression of the data? y = x- 1,3,5,7,9, y- 3,7,13,17,23 (Use integers or decimals for any numbers in the expression. Round to the nearest tenth as needed)