15.16 The 2008 and 2012 presidential elections. Democrat Barack Obama was electedpresident in 2008 and 2012. Figure 15.6 plots the percentage who voted for Obama in 2008and 2012 for each of the 50 states and the District of Columbia.a. Describe in words the direction, form, and strength of the relationship between thepercentage of votes for Obama in 2008 and the percentage in 2012. Are there anyunusual features in the plot? b. The least-squares regression line ispercentagein2012 =-4.75 + (1.05 x percentagein2008Draw this line on a separate sheet of paper. (To draw the line, use the equation topredict y for a = 90 and for 2 = 50. Plot the two (x,y) points and draw the linethrough them.)c. The correlation between these variables is r =0.983. What percentage of the observedvariation in 2012 percentages can be explained by straight-line dependence on 2008percentages?908070 -605040302030405060708090100Percentage Obama, 2008Moore/Notz, Statistics: Concepts and Controversies, 10e, © 2020 W. H.Freeman and CompanyFigure 15.6 Scatterplot of the percentage who voted for Obama in 2008 and 2012 for each of the 50states and the District of Columbia, Exercise 15.16.Percentage Obama, 2012

Name: 15.16 The 2008 and 2012 presidential elections. Democrat Barack Obama
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Description: 15.16 The 2008 and 2012 presidential elections. Democrat Barack Obama was electedpresident in 2008 and 2012. Figure 15.6 plots the percentage who voted for Obama in 2008and 2012 for each of the 50 states and the District of Columbia.a. Describe in w

(a) From the scatterplot we can clearly say that the; Direction is positive (since as x increases y…

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15.16 The 2008 and 2012 presidential elections. Democrat Barack Obama was elected president in 2008 and 2012. Figure 15.6 plots the percentage who voted for Obama in 2008 and 2012 for each of the 50 states and the District of Columbia. a. Describe in words the direction, form, and strength of the relationship between the percentage of votes for Obama in 2008 and the percentage in 2012. Are there any unusual features in the plot?

15.16 The 2008 and 2012 presidential elections. Democrat Barack Obama was elected president in 2008 and 2012. Figure 15.6 plots the percentage who voted for Obama in 2008 and 2012 for each of the 50 states and the District of Columbia. a. Describe in words the direction, form, and strength of the relationship between the percentage of votes for Obama in 2008 and the percentage in 2012. Are there any unusual features in the plot?

MATLAB: An Introduction with Applications

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Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

Topic Video

Question

15.16 The 2008 and 2012 presidential elections. Democrat Barack Obama was elected
president in 2008 and 2012. Figure 15.6 plots the percentage who voted for Obama in 2008
and 2012 for each of the 50 states and the District of Columbia.
a. Describe in words the direction, form, and strength of the relationship between the
percentage of votes for Obama in 2008 and the percentage in 2012. Are there any
unusual features in the plot?

b. The least-squares regression line is
percentagein2012 =-4.75 + (1.05 x percentagein2008
Draw this line on a separate sheet of paper. (To draw the line, use the equation to
predict y for a = 90 and for 2 = 50. Plot the two (x,y) points and draw the line
through them.)
c. The correlation between these variables is r =
0.983. What percentage of the observed
variation in 2012 percentages can be explained by straight-line dependence on 2008
percentages?
90
80
70 -
60
50
40
30
20
30
40
50
60
70
80
90
100
Percentage Obama, 2008
Moore/Notz, Statistics: Concepts and Controversies, 10e, © 2020 W. H.
Freeman and Company
Figure 15.6 Scatterplot of the percentage who voted for Obama in 2008 and 2012 for each of the 50
states and the District of Columbia, Exercise 15.16.
Percentage Obama, 2012

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