Linear Models and Scatter Plots

Is this line an accurate line estimate of best fit for the data?

• Yes

• No

Choose the graph with a trend line that best fits the data.

• graph 1

• graph 2

• graph 3

• graph 4

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

• A

• B

• C

• There is no line of best fit for this graph because there is no trend.

Select the statement that best describes the line.

• The line is a good trend line.

• The line is NOT a good trend line because it does not pass through two points.

• The line is NOT a good trend line because it does not go through the middle of the data set.

Which sentence describes the relationship shown on this scatter plot?

• The more time spent training, the longer it takes to run 100 m.  

• As the time spent training increases, the time to run 100 m decreases. 

• As the time spent training decreases, the time to run 100 m decreases. 

Describe the association of the scatter plot.

• Linear; positive association

• Linear; negative association

• Non-linear

Chang wants to know if he is improving his skill on the cello. He created a scatter plot and drew a line of best fit. If he uses the point (2, 8) and (4, 4) from his line, which equation would best represent the line of best fit?

• y = -2x + 12

• y = 2x + 4

• y = -2x -12

• y = -2x + 11. 5

The graph below shows the relationship between the distance in miles a delivery truck traveled and the number of hours each delivery took. Which of the two given points would be the best to use to calculate the line of best fit?

• (500, 11) and (700, 11)

• (300, 9) and (400, 7)

• (400, 9) and (500, 11)

• (300, 7) and (600, 10)

The scatter plot shows the average yearly consumption of bottled water by people in the United States starting in 1990. Using the line of best fit, predict the average consumption of bottled water in the year 1999?

• 20 gallons

• 18 gallons

• 21 gallons

• 19 gallons

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many pages would be in a book with 14 chapters.

• 100 pages

• 170 pages

• 140 pages

• 80 pages