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Back to 13.4 The Regression Equation

13.4 Exercise 3

Avg difficulty 2.5

Consider a sample least squares regression analysis between a dependent variable (Y) and an independent variable (X). A sample correlation coefficient of −1 (minus one) tells us that

  1. there is no relationship between Y and X in the sample
  2. there is no relationship between Y and X in the population
  3. there is a perfect negative relationship between Y and X in the population
  4. there is a perfect negative relationship between Y and X in the sample.

OpenStax Introductory Business Statistics 2e, 13.4 The Regression Equation, exercise 3

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Adapted from Introductory Business Statistics 2e © 2023 Rice University. Licensed under CC BY 4.0. Source: Introductory Business Statistics 2e. Imported at revision 50ec917.