14.36 Ecological correlation. Many studies reveal a positive correlation between incomeand number of years of education. To investigate this, a researcher makes two plots.Plot 1: Plot the number of years of education (the explanatory variable) versus the averageannual income of all adults having that many years of education (the response variable).Plot 2: Plot the number of years of education (the explanatory variable) versus the individualannual incomes of all adults (the response variable). Which plot will display a stronger correlation? (Hint: Which plot will display a greateramount of scatter? In particular, will the variation from individual to individual having thesame number of years of education create more or less scatter in Plot 2 compared withplotting the average incomes in Plot 1? What effect will increased scatter have on thestrength of the association we observe?)Note: A correlation based on averages rather than on individuals is called an ecologicalcorrelation. Correlations based on averages can be misleading if they are interpreted to beabout individuals.

Plot 2 [ Plot of number of years of education versus average annual income] display a greater amount…

14.36 Ecological correlation. Many studies reveal a positive correlation between income and number of years of education. To investigate this, a researcher makes two plots. Plot 1: Plot the number of years of education (the explanatory variable) versus the average annual income of all adults having that many years of education (the response variable). Plot 2: Plot the number of years of education (the explanatory variable) versus the individual annual incomes of all adults (the response variable).

14.36 Ecological correlation. Many studies reveal a positive correlation between income and number of years of education. To investigate this, a researcher makes two plots. Plot 1: Plot the number of years of education (the explanatory variable) versus the average annual income of all adults having that many years of education (the response variable). Plot 2: Plot the number of years of education (the explanatory variable) versus the individual annual incomes of all adults (the response variable).

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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