Question the-st

3.4 Two-Variable Data & Models - Scatterplots and correlation
0:00

The sterplot shows the relationship between two variables, x and y .

  • The sterplot has 8 data points.
  • The data points are in an exponential pattern trending up from left to right. 
  • The data points have the following approximate coordinates:
    • (0.3 comma 75)
    • (1.9 comma 200)
    • (2.6 comma 183)
    • (3.5 comma 898)
    • (4.2 comma 802)
    • (5.1 comma 2,173)
    • (5.7 comma 2,658)
    • (6.4 comma 4,766)

Which of the following graphs shows the most appropriate model for the data?

A.

  • The sterplot has 8 data points.
  • The data points are in an exponential pattern trending up from left to right. 
  • A line of best fit is shown:
    • The line of best fit slants up from left to right.
    • 0 points are touching the line of best fit.
    • 1 point is above the line of best fit.
    • 7 points are below the line of best fit.
    • The line of best fit passes through the following approximate coordinates:
      • (0 comma 0)
      • (6 comma 4,290)

B.

  • The sterplot has 8 data points.
  • The data points are in an exponential pattern trending up from left to right. 
  • A line of best fit is shown:
    • The line of best fit slants down from left to right.
    • 0 points are touching the line of best fit.
    • 3 points are above the line of best fit.
    • 5 points are below the line of best fit.
    • The line of best fit passes through the following coordinates:
      • (0 comma 5,000)
      • (6 comma 710)

C.

  • The sterplot has 8 data points.
  • The data points are in an exponential pattern trending up from left to right. 
  • A curve of best fit is shown:
    • The curve of best fit trends up from left to right.
    • 0 points are touching the curve of best fit.
    • 0 points are above the curve of best fit.
    • 8 points are below the curve of best fit.
    • The curve of best fit passes through the following coordinates:
      • (0 comma 1,055)
      • (4 comma 1,880)
      • (6 comma 4,520)

D.

  • The sterplot has 8 data points.
  • The data points are in an exponential pattern trending up from left to right. 
  • A curve of best fit is shown:
    • The curve of best fit trends up from left to right.
    • 2 points are touching the curve of best fit.
    • 3 points are above the curve of best fit.
    • 3 points are below the curve of best fit.
    • The curve of best fit passes through the following approximate coordinates:
      • (0 comma 51)
      • (4 comma 851)
      • (6 comma 3,472)