Questions: The range of the correlation coefficient is from 0 to 1 . True False

The range of the correlation coefficient is from 0 to 1 . True False
Transcript text: The range of the correlation coefficient is from 0 to 1 . True False
failed

Solution

failed
failed

Solution Steps

Step 1: Understanding the Correlation Coefficient

The correlation coefficient, often denoted as \( r \), measures the strength and direction of the linear relationship between two variables. It ranges from \(-1\) to \(1\), where:

  • \( r = 1 \) indicates a perfect positive linear relationship,
  • \( r = -1 \) indicates a perfect negative linear relationship,
  • \( r = 0 \) indicates no linear relationship.
Step 2: Analyzing the Given Statement

The statement claims that the range of the correlation coefficient is from \(0\) to \(1\). However, based on the definition, the range is actually from \(-1\) to \(1\). Therefore, the statement is incorrect.

Final Answer

The statement is False. The range of the correlation coefficient is from \(-1\) to \(1\).

\(\boxed{\text{False}}\)

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Quiz 11 - Chapter 5 Chapter 5 Question 20 - Multiple Choice Part A The units of specific heat are J / mol g-K / J or g · °C / J K / J or °C / J J / K or J / °C J / g-K or J / g°C
failedAnswered
C'est quoi la difference entres infecher liés ark seins (IAS) et l'infechien nosocomizles?
failedAnswered
A particle moves along the x-axis. Its position is given by p(t)=2t^3-9t^2+15 inches where time is measured in seconds. What is the object's acceleration at t=5 seconds?
failedAnswered
3(4g+6)=2(6g+9)
failedAnswered
Let f(x) be defined as follows: - 2x + 7 if x < 5 - 42 - 5x if x > 5 - 15 if x = 5 Determine whether f(x) is continuous at x=5. If f(x) is not continuous, identify why. - Not continuous: The limit of f(x) as x approaches 5 does not exist. - Not continuous: f(5) is undefined. - Not continuous: The limit of f(x) as x approaches 5 is not equal to f(5). - The function is continuous at x=5.