Var(y) what is6. True or False? "If you run the regression y = a + ßx + € and get an estimate 3, then run the"reverse regression" x = y + dy +u, you will find ☎ = 1/ß.” Explain. Hint: ß = ô ·the analogous formula for ?V Var (x)'

The regression line of y on x is given as: y=α+βx+ε. The regression line of x on y is given as:…

Answered: 6. True or False? "If you run the…

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 5PPS

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A regression was run to determine whether there is arelationship between the diameter of a tree (x, in inches) and the tree’s age (y, in years). Theresults of the regression are given below. Use this topredict the age of a tree with diameter 10 inches. y=ax+ba=6.301b=1.044r=0.970
Explain how to interpret the absolute value of acorrelation coefficient.
What is regression analysis? Describe the process of performing regression analysis on a graphing utility.
Find the unknown value. y varies inversely as the square of x and when x=3,y=2. Find y if x=1.
The rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the original substance, x is the amount of substance formed, and k is a constant of proportionality. Factor the expression.
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
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)
Determine the quadratic regression for the data set below. (2,762),(5,939),(7,1177),(10,1714),(12,2192),(15,3089)
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 = 1.530x-123.860. Complete parts (a) and (b) below. Average Weekly Wages (state), x Average Weekly Wages (federal), y 762 992 (a) Find the coefficient of determination and interpret the result. 2-0 (Round to three decimal places as needed.) How can the coefficient of determination be interpreted? 773 1044 Se (Round to two decimal places as needed.) How can the standard error of estimate be interpreted? The coefficient of determination is the fraction of the variation in average weekly wages for average weekly wages for and is represented by due to other factors or to sampling error. (b) Find the standard error of estimates and interpret the result. 796 1117 The standard error of estimate of the average weekly wage for is about s dollars. 817 1155 844 1196 for 878 1252 The remaining fraction of the variation, 931 1281…
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 = 1.493x - 83.403. Complete parts (a) and (b) below. A Average Weekly Wages (state), x Average Weekly Wages (federal), y 764 1003 766 1048 791 1119 (a) Find the coefficient of determination and interpret the result. r² = 0 (Round to three decimal places as needed.) 800 1152 843 1201 887 1250 924 1277 939 1306
Suppose you do a simple regression were you predict the number of sales ofcold drinks ( y )using the variable temperature in degrees Celsius ( x )Also Suppose you obtain the regression output below coefficient standard error intercept 100 10 temperature 3 1 So the regression equation is y=100+3x What is the equation of the regression line Select one: a. number of sales=-100+2price-3temperature b. None of the choices are correct c. number of sales=100+3temperature d. Intercept=100-2price+3temperature e. 100+3= 103

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6. True or False? "If you run the regression y = a + 3x + € and get an estimate 3, then run the Var(y) what is "reverse regression” x = y + dy +u, you will find 8 = 1/3.” Explain. Hint: ß =ô· √Var(a); the analogous formula for ?