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The scatterplot below shows the relationship between the percentage of the population of a state (Washington, DC included) that has at least a bachelor’s degree and the median income (in dollars) of the state for 2009. Use the scatter plot to answer the questions that follow. a. Describe the correlation between the percentage of the population with at least a bachelor’s degree and the median income, being sure to specifically note the strength

The scatterplot below shows the relationship between the percentage of the population of a state (Washington, DC included) that has at least a bachelor’s degree and the median income (in dollars) of the state for 2009. Use the scatter plot to answer the questions that follow. a. Describe the correlation between the percentage of the population with at least a bachelor’s degree and the median income, being sure to specifically note the strength

MATLAB: An Introduction with Applications
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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The scatterplot below shows the relationship between the percentage of the population of a state (Washington, DC included) that has at least a bachelor’s degree and the median income (in dollars) of the state for 2009. Use the scatter plot to answer the questions that follow.

a. Describe the correlation between the percentage of the population with at least a bachelor’s degree and the median income, being sure to specifically note the strength and direction of the correlation.

b. One observation seems to stick out from the rest. Circle it on the scatterplot. This particular observation is for Washington, DC. Can you think of any reasons why Washington, DC might have a high percentage of residents with a bachelor’s degree, but a lower than expected median income? 

c. The correlation coefficient for this scatterplot is 0.718. Is this value high enough to prove that there is, in fact, a correlation between the percentage of residents of a state with a bachelor’s degree and the median income? Use the table given below to assist you in your answer.

n a=0.05 a=0.01
4 0.950 0.990
5 0.878 0.959
6 0.811 0.917
7 0.754 0.875
8 0.707 0.834
9 0.666 0.798
10 0.632 0.765
47 0.288 0.372
52 0.273 0.354
62 0.250 0.325
72 0.232 0.302
82 0.217 0.283
92 0.205 0.267
102 0.195 0.254
Percent of Population with a Bachelors versus Median Income 65000 60000 55000 50000 45000 40000 35000 25 35 30 Percent Bachelors 20 40 45 50 Median Income
Transcribed Image Text:Percent of Population with a Bachelors versus Median Income 65000 60000 55000 50000 45000 40000 35000 25 35 30 Percent Bachelors 20 40 45 50 Median Income
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