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Researchers ranked all the counties in the United States by their poverty level and then broke them into twenty groups. The wealthiest groups represents the bottom 5% (or the 5th percentile) and the poorest group is the top 5% (or the 100%). They then compared this to the life expectancy within each group and reached the following data: Percentile 5 10 15 20 25 30 35 40 45 50 Life Expectancy 79 79 78 77.5 77.5 77.5 77 76.5 77 77 Percentile 55 60 65 70 75 80 85 90 95 100 Life Expectancy 76.5 76 76 77 76.5 75 75.5 74 73 73 a. Create a scatterplot of the data. b. Which is the explanatory variable? Are the variables positively or negatively associated? c. Find the correlation coefficient r.

          Researchers ranked all the counties in the United States by their poverty level and then
broke them into twenty groups. The wealthiest groups represents the bottom 5% (or the
5th percentile) and the poorest group is the top 5% (or the 100%). They then compared
this to the life expectancy within each group and reached the following data:
Percentile 5 10 15 20 25 30 35 40 45 50
Life Expectancy 79 79 78 77.5 77.5 77.5 77 76.5 77 77
Percentile 55 60 65 70 75 80 85 90 95 100
Life Expectancy 76.5 76 76 77 76.5 75 75.5 74 73 73
a. Create a scatterplot of the data.
b. Which is the explanatory variable? Are the variables positively or negatively
associated?
c. Find the correlation coefficient r.

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Added by Bryce J.

College Algebra: Real Mathematics, Real People

Ron Larson 7th Edition

Chapter 0

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Solved by Expert Jon Southam

05/25/2023

Step 1

To create a scatterplot of the data, you can use graphing software like Excel, Google Sheets, or a graphing calculator. Plot the percentiles on the x-axis and the life expectancies on the y-axis. You should see a general downward trend in the data. b. The Show more…

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Researchers ranked all the counties in the United States by their poverty level and then broke them into twenty groups. The wealthiest groups represents the bottom 5% (or the 5th percentile) and the poorest group is the top 5% (or the 100%). They then compared this to the life expectancy within each group and reached the following data: Percentile 5 10 15 20 25 30 35 40 45 50 Life Expectancy 79 79 78 77.5 77.5 77.5 77 76.5 77 77 Percentile 55 60 65 70 75 80 85 90 95 100 Life Expectancy 76.5 76 76 77 76.5 75 75.5 74 73 73 a. Create a scatterplot of the data. b. Which is the explanatory variable? Are the variables positively or negatively associated? c. Find the correlation coefficient r.

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00:01 Researchers ranked all the counties in the us by their poverty level and then broke them into 20 groups.

00:07 And the wealthiest groups represent the bottom 5%, the poorest groups, the top 5%.

00:12 And they compared this to the life expectancy within each group.

00:19 And they have the data.

00:20 So percentiles here and life expectancies here.

00:23 And we have a scatter plot here where we put down the percentiles.

00:28 These are the, going from five all the way to 100.

00:32 And then the life expectancy here.

00:35 And the explanatory variable is going to be the poverty level.

00:44 Because this is the percentile for poverty level.

00:50 Percentile is based on the poverty level.

00:58 And so the wealthiest groups represent this percentile.

01:05 So it's like the top 5%.

01:07 That's how we think about this.

01:09 The life expectancy is 79.

01:11 But as you increase, as you increase in the poverty level, the life expectancy goes down.

01:18 So your explanatory variable is the percentile, which is your poverty level.

01:23 And the response variable would be the life expectancy, which is the y variable, the y axis.

01:36 All right.

01:36 So we have that.

01:38 And then are they positively or negatively associated? well, as percentile goes up, life expectancy goes down...

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