Scatterplot Regression Review

Don't you hate it when you open a can of soda and some of the contents spray out of the can? Two students wanted to investigate if tapping on a can of soda would reduce the amount of soda expelled after the can has been shaken. For their experiment, they vigorously shook 40 cans and randomly assigned each can to be tapped for 0 seconds, 4 seconds, 8 seconds, or 12 seconds. Then, after opening the can and cleaning up the mess, the students measured the amount of soda left in each can (in milliliters). Here is a scatterplot, along with the regression line where x = tapping time (in seconds) and y = amount of soda remaining (in milliliters). Calculate the residual for the can that was tapped for 4 seconds and had 260 milliliters of soda remaining. Round your answer the nearest hundredth.0.

Mathematical Equivalence

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The scatterplot shows the amount of money earned and the number of hours babysat for a group of friends along with a line of best fit. Use the line and scatterplot to estimate and interpret the residuals for x = 4.

• e = 0; this person earned exactly the expected amount

• e = 5; this person earned $5 more than expected

• e = 3; this person earned $3 more than expected

• e = –3 this person earned $3 less than expected

• e = 3; this person earned $3 less than expected

The scatterplot and table show the ages of 8 track team members and the number of laps that each person ran. Use Desmos to write a linear regression equation. Do not use spaces. Round to the thousandth place (3 decimals).

The scatterplot and table show the ages of 8 track team members and the number of laps that each person ran. Use Desmos to write a quadratic regression equation. Do not use spaces. Round to the thousandth place (3 decimals).

• y = 0.071x² + 2.509x + 12.882

• y = –0.071x² + 2.509x – 12.882

• y = (–0.071x)² + 2.509x – 12.882

• y = –0.071x – 12.882

The scatterplot and table show the ages of 8 track team members and the number of laps that each person ran. Use Desmos to write a quadratic regression equation. What is the coefficient of determination? Do not round.

The scatterplot and table show the ages of 8 track team members and the number of laps that each person ran. Use Desmos to write an exponential regression equation. Do not use spaces. Round to the thousandth place (3 decimals).

• y = 2.916 + 1.068x

• y = 2.916x + 1.068

• y = 1.068 • 2.916^x

• y = 2.916 • 1.068^x

The scatterplot and table show the ages of 8 track team members and the number of laps that each person ran. Use Desmos to write an exponential regression equation. What is the coefficient of determination? Do not round.

The scatterplot and table show the ages of 8 track team members and the number of laps that each person ran. Which model was best?

• Linear

• Quadratic

• Exponential

• None

The scatterplot and table show the ages of 8 track team members and the number of laps that each person ran. Why was the exponential mode the best?

• Its r² was the highest

• Its r² was the closest to 1

• Its |r| was the highest

• Its curve looked the best