SCATTER PLOTS AND LINEAR MODELS

What type of association does this scatter plot show?

• positive linear association
• negative linear association
• no association
• nonlinear association

Tags

CCSS.HSS.ID.B.6

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. 

Tags

CCSS.HSF.IF.B.4

CCSS.HSS.ID.B.6

Describe the association of the scatter plot.

• Linear; positive association
• Linear; negative association
• Non-linear

Tags

CCSS.8.SP.A.1

CCSS.8.SP.A.2

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)

Tags

CCSS.HSF.IF.B.4

CCSS.HSS.ID.B.6

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 equation y = -2x + 7 models the amount of gas remaining in a lawnmower after x hours of use since it was filled. What is the meaning of the slope?

• For each hour of mowing, the mower is predicted to use 2 gallons.

• the predicted amount of gas the lawnmower can hold is 2 gallons

• For every two hours of mowing, the mower is predicted to use 7 gallons.

• The predicted amount of gas remaining after 1 hour is 2 gallons.

Tags

CCSS.HSF.LE.B.5

CCSS.HSS.ID.C.7

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

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 

Tags

CCSS.HSA.CED.A.2

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.7

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

•  $y\ =-x\ -\ \frac{1}{2}$ 

•  $y\ =-\frac{1}{2}x\ +\frac{1}{2}$ 

•  $y=x\ -\frac{1}{2}$ 

• $y=\frac{8}{7}x\ +\frac{1}{7}$