Studying Scatter Plots. Create a graph of this data.

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Presentation transcript:

Studying Scatter Plots

Create a graph of this data

Do all three graphs show the same type of growth? What kind of growth is shown by each Negative Correlation Positive Correlation No Correlation

Draw a line that represents how the data is changing.

Use the line to predict what number matches up with x = 8.

Use the line to predict what number matches up with y = 6.

Draw a line that represents how the data is changing.

Use the line to predict the value that matches up with x = 4.

Use the line to predict the value that matches up with y = 2.

Is there a line that represents how this data is changing? We say that this line has no correlation.

Writing Equations to Represent Data

When lines have positive or negative correlation you can write equations to represent the data.

After the line is drawn, select two points on the line and draw the right triangle that shows its rise and run Write a fraction for the steepness of the line. Find the y- intercept. Write the equation in slope intercept form.

If x = 9, what does y equal?

After the line is drawn, select two points on the line and draw the right triangle that shows its rise and run Write a fraction for the steepness of the line. Find the y- intercept. Write the equation in slope- intercept form.

Predict the y value that matches with x = 4

Real-World Problem Pedaling time (min) Total Calories burned Allison runs to the gym from home and burns 215 calories during the run. Then over the next hour (60 minutes) she continues to burn calories at the gym by using the various equipment. The calories she burned, while at the gym are recorded in the chart. Create a scatter plot of the pedaling time vs. total calories burned. Draw a line of best fit for the data. Write an equation for your line of best fit. Use your line to predict how many calories she would burn in 25 minutes. Use your line to predict how long she had to work at the gym to burn 250 calories.

Pedaling time (min) Total Calories burned min calories Time pedaling vs. Total Calories Burned or or 60

Pedaling time (min) Total Calories burned min calories Time pedaling vs. Total Calories Burned Use your line to predict how many calories she would burn in 25 minutes. When x = 25, y=4(25)+215 =315 calories

Pedaling time (min) Total Calories burned min calories Time pedaling vs. Total Calories Burned Use your line to predict how long she had to work at the gym to burn 250 calories. When y=250, 250=4x =4x X≈9 minutes

Studying Scatter Plots