# Lesson 3Getting SchooledSolidify Understanding

## Learning Focus

Interpret data using linear models.

Consider questions and necessary data for further research.

How can correlation coefficients and linear regressions help us to understand the differences in men’s and women’s incomes?

## Open Up the Math: Launch, Explore, Discuss

### 7.

Analyze the data for women with bachelor’s degrees by creating a scatterplot, interpreting the correlation coefficient and the regression line. For consistency with the men’s graph above, use for the year 2000, for the year 2001, etc. Draw the graph, and report the results of your analysis:

### 8.

Now that you have analyzed the results for women, compare the results for men and women with at least a bachelor’s degrees over the period from 2000–2011.

### 9.

Leo believes that the difference in income between men and women may be explained by differences in education, but Araceli believes there must be other factors, such as discrimination. Based on the data in this task and Getting More \$, make a convincing case to support either Leo or Araceli.

### 10.

What other data would be useful in making your case? Explain what to look for and why.

• Determine a research question that you would like to pursue to determine more about the differences in men’s and women’s incomes.

• Research and find the data. (The U.S. Bureau of Labor Statistics was the original source for the data in this task, and they have a lot more!)

• Analyze the data using the statistical methods that we have learned so far.

• Write a paragraph that summarizes your results.

## Takeaways

Ways that data can be used to make questionable claims:

## Lesson Summary

In this lesson, we compared two sets of data to draw conclusions about men’s and women’s incomes. We interpreted the meaning of the correlation coefficients, the slope of the regression line, and intercepts of the regression line. We used the data to make claims and challenged the claims of others.

## Retrieval

### 1.

Find the correlation coefficient for the bivariate data set.

 Shoe Size Number of Siblings $4$ $5$ $7$ $9$ $5$ $8$ $7$ $2$ $3$ $4$ $6$ $2$ $4$ $5$

### 2.

Does knowing a person’s shoe size determine how many siblings they will have?

### 3.

Why would using the data set provided possibly lead to incorrect conclusions?

Classify each function as linear, exponential, or quadratic.

linear

exponential

linear

exponential

linear

exponential