Scatter Plots and Linear Models

Which of the following could be a possible line of best fit for the data?

• y = -5/2x + 20

• y = -x + 19

• y = x + 20

• y = 2/3x + 15 

Using the points (1, 0.5) and (5, 4.5) What is the approximate equation of the trend line?

Which equation best approximates the trend line in the plot?

What association between the variables do you observe?

• It is a strong negative linear association.

• It is a weak negative association.

• It is a strong positive linear association.

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

If I use  the points (3000, 25) and (4000, 20) What is the approximate equation of the trend line?

If I use the points (-3, 0.5) and (2, 2.5), what is the approximate equation of the trend line?

If we use the point (5, 5) and (8, 8), what is the approximate equation of the trend line?

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 (5, 1.5) from his line, which equation would best represent the line of best fit?

• y = -2.17x + 12.3

• y = 2.17x + 3.77

• y = -0.46x + 9

• y = -2.17x – 9.35

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 2000?

• 20 gallons

• 18 gallons

• 21 gallons

• 19 gallons