Scatterplots and Trend Lines Equations

Which of the following lines represents the line of best fit for the scatter plot?

• A

• B

• C

• D

Mr. Thomas wanted to know if the amount of class time that he gave students to study affected their test scores. The scatterplot shows the results. What kind of relationship between class study time and test scores is shown on the scatter plot?

• No correlation

• Positive then negative correlation

• Positive correlation

• Negative correlation

A researcher gathered data to predict the number of new types of plants (y) that will be in a state park after x years. After making a scatterplot of the data, she determined the equation of a line of best fit. The equation is shown below. y = 0.25x+8 Based on the equation, what is the number of new types of plants that will be in the park after 24 years?

• 8

• 14

• 32

• 64

A group of friends recorded the time it took to ride their bikes around the park. The scatterplot shows their results with the line of best fit.

Using the line of best fit, which is closer to the number of minutes it would take to complete 9 laps?

• 4

• 5

• 6

• 7

Which scatter plot could have a trend line whose equation is y hat= 3x + 10?

• A

• B

• C

• D

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line given and write an equation.

• y = 0x +10

• y= 0.1x+10

• y= 10x +0

• y= 0.1x +0

Which of the following would be the most accurate equation for the scatter plot?

• y = -2x - 7

• y = -x + 7

• y = 3x + 7

• y = 25x + 7

Which scatter plot could have a trend line whose equation is y = 3x + 10?

• A

• B

• C

• D

Write the equation of the trend line in slope-intercept form.

Which equation best represents the data?

•  y = x + 2

•  y = -x + 2

•  y = x - 2

•  y = -x - 2