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Homework Help

Lesson: Working with Scatterplots and Lines of Best Fit

In this lesson, we will learn how to represent data using scatterplots and transform these plots into lines of best fit.

Video

16:15

Sample Question Videos

01:24
04:18

Worksheet • 21 Questions • 2 Videos

Q1:

The following scatter diagram shows the test results of two exams for a class of 26 students. If Sophia got 84 on exam 1, which of the following would you expect to be her score for exam 2?

  • A86
  • B70
  • C60
  • D92
  • E50

Q2:

A linear regression model of the form 𝑦 = π‘Ž + 𝑏 π‘₯ has been fitted to the data shown. Which of the following statements are true about the values of π‘Ž and 𝑏 in the fitted regression model?

  • A 𝑏 > 0 , π‘Ž < 0
  • B 𝑏 < 0 , π‘Ž = 0
  • C 𝑏 > 0 , π‘Ž > 0
  • D 𝑏 < 0 , π‘Ž > 0
  • E 𝑏 < 0 , π‘Ž < 0

Q3:

How useful would a line of best fit be for this scatter plot?

  • A possibly useful, as there is a pattern but the data points do not match up that well
  • B very useful, since it will be close enough to the data points to give reasonable approximations
  • C not useful at all, since the data is not linearly correlated enough to apply a line of best fit
  • D just as useful as the data, since the line goes through every data point anyway
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