Houghton Mifflin Harcourt Algebra 1, 2015
HM
Houghton Mifflin Harcourt Algebra 1, 2015 View details
Module 10 Assessment Readiness
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Exercise 1 Page 378

a The equation of the least-squares line and correlation coefficient r are given for the data.

y≈ -2.82x +87.50 and r≈-0.89 We will determine if each statement is true or false. The first statement is given as the following. The variables are time spent playing games and test averages. Since the survey examines the time spent playing games and test averages, and the collected data depends on them, the statement is true.

b Let's check the second statement.

The variables have a negative correlation. The negative slope -2.82 and the negative correlation coefficient -0.89 state that the correlation is negative. Therefore, the statement is true.

c The last statement is the following.

The variables have a a weak correlation. In this case, in order to have a weak correlation, the correlation coefficient must be close to -0.5. However, the given correlation coefficient is close to -1. Therefore, the last statement is false.