Example 3. For the variables x and y, the regression equations are given as :7x - 3y - 18 = 0 and 4x – y – 11 = 0(i) Find the arithmetic means of x and y.%3D(ii) Identify the regression equation of y on x. Also find b and bxyyx

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Answered: Example 3. For the variables x and y,…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 44SGR

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Life Expectancy The average life expectancy in the United States has been rising steadily over the past few decades, as shown in the table. (a) Make a scatter plot of the data. (b) Find and graph the regression line. (c) Use the linear model you found in part (b) to predict the life expectancy in the year 2006. (d) Search the Internet or your campus library to find the actual 2006 average life expectancy. Compare to your answer in part (c).
Cost of Adding Employees The following table shows the cost, in millions of dollars, to Walmart of adding the given number of employees to each of its superstores.14 E = number of new employees 1 2 3 4 C = cost 89.6 179.2 268.8 358.4 a. Find a linear model for the data in the table. b. Explain in practical terms the meaning of the slope of the linear model you found in part a.
In 2003, the owl population in a park was measured to be 340. By 2007, the population was measured again to be 285. The population changes linearly. Letthe input be years since 1990. a. Find a formula for the owl population, P. Let the input be years since 2003. b. What does your model predict the owl population to be in 2012?
Suppose the world’s oil reserves in 2014 are 1,820 billion barrels. If, on average, the total reserves are decreasing by 25 billion barrels of oil each year: a. Give a linear equation for the remaining oil reserves,R, in terms of t, the number of years since now. b. Seven years from now, what will the oil reserves be? c. If the rate at which the reserves are decreasing is constant, when will the world’s oil reserves be depleted?
The regression equation between x and y is y = 13.2-1.8x Predict the value of y for x= 2
For the regression equation Ŷ = –2X + 6, what can be determined about the correlation between X and Y? a. The correlation definitely will be positive. b. The correlation will be relatively large and positive c. The correlation definitely will be negative. d. The correlation will be relatively large and negative.
A multiple regression model has the form Y = -17 + ( 18 * X1 ) + ( 17 * X2 ) As X2 decreases by 1 unit (holding X1 constant), Y is expected to… decrease by 18 units decrease by 17 units increase by 17 units increase by 18 units
Using the table given, Which of the following is NOT necessarily true about the interpretation of the value of b in the simple linear regression equation y = a + bx for this problem? I. The monthly total costs will increase by $7.6437 for every one unit increase in the production volume. II. Since B > 0, there is a direct relationship between production volume and total costs. III. Because B > 1, there is a very strong positive linear relationship between production volume and total costs. a.) i and ii only b.) ii only c.) iii only d.) ii and iii only
Q1: Given the regression equation Y=40 - 4X. Find the value of the dependent variable Y for X =0,1,2,3,4,…,10 and plot the graph of X and Y on actual graph paper; also interpret it.
Given the linear regression equation: = 5.5 – 3x. c) When x changes by 1 unit, by how much does y change on the regression line? When x decreases by 1 unit, y does not change. When x decreases by 1 unit, y decreases by 3 units. When x increases by 1 unit, y increases by 3 units. When x increases by 1 unit, y decreases by −3 units. When x increases by 1 unit, y decreases by 3 units.
A linear regression equation has b = 2 and a = 3. What is the predicted value of Y for X = 8? a. Y = 5 b. Y = 19 c. Y = 26 d. Cannot be determined without additional information

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Example 3. For the variables x and y, the regression equations are given as 7x- 3y - 18 = 0 and 4x - y- 11 = 0 (i) Find the arithmetic means of x and y. and b (ii) Identify the regression equation of y on x. Also find b