Section 1.10 Day #1

Section 1.10 Day #1

Two by Two: Scatterplots

Open Ended

What do the green and purple dots represent and where do they appear to be clustered?

Open Ended

How is this type of graph different from a line graph?

The previous two problems are best represented by a scatter plot because we are looking at related or paired numerical data.  Other examples might be height/weight, study time/grades or education/income, basically any time we want to illustrate or explore the relationship between two variables. 

Steps for Creating Scatterplots

• Must first determine which variable is the dependent variable and which is the independent.

• Example...y - values on a line are dependent on x - inputs.

Multiple Choice

The amount of sleep a swimmer gets the night before a swim and how long it takes the swimmer to complete a 200-meter swim; which is the independent variable?

• Amount of Sleep

• Time to complete a 200 meter swim

Multiple Choice

A student’s GPA and the average amount of time they spend studying per week; which is the dependent variable?

• Student's GPA

• Average amount of time spent studying

Making a Scatterplot on Desmos

www.desmos.com

We are going to make a scatterplot using the table of values that compare years of experience and salary.

Multiple Choice

First determine which of the values is the independent variable. This is your x - value.

• Salary

• Years Worked

Open Ended

Look at the graph you created, what sort of pattern do the data points seem to follow? Write one sentence describing the relationship between the years of experience and salaries for the employees at the small business.

Creating a line of best fit to make predictions

• USING DESMOS - in the row below your chart type the following; y1~mx1+b