Correlation and Types Quiz

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Questions and Answers

What is the meaning of perfect correlation?

  • Correlation coefficient is 0
  • Correlation coefficient is undefined
  • Correlation coefficient is -1
  • Correlation coefficient is 1 (correct)

When two variables move in the opposite direction, what is the nature of the correlation of two variables?

  • Perfect correlation
  • Positive correlation
  • Negative correlation (correct)
  • No correlation

Define Simple, Multiple and Partial correlation.

  • Simple: Relationship between more than two variables; Multiple: Relationship between two variables; Partial: Relationship between multiple variables without controlling for other variables
  • Simple: Relationship between two variables; Multiple: Relationship between more than two variables; Partial: Relationship between multiple variables with controlling for other variables
  • Simple: Relationship between two variables; Multiple: Relationship between more than two variables; Partial: Relationship between multiple variables while controlling for other variables (correct)
  • Simple: Relationship between two variables; Multiple: Relationship between more than two variables; Partial: Relationship between multiple variables without controlling for other variables

Define Regression.

<p>Regression estimates the value of one variable based on another variable. (C)</p> Signup and view all the answers

$b_{xy} = 0.32$, if $r = 0.8$, what will be the value of $b_{yx}$?

<p>$0.24$ (D)</p> Signup and view all the answers

Define correlation. Write its types also.

<p>Correlation is a statistical measure that describes the extent to which one variable changes when another variable changes. The types of correlation include positive correlation, negative correlation, and no correlation.</p> Signup and view all the answers

Define the term positive correlation.

<p>Positive correlation is a relationship between two variables in which they move in the same direction. This means that as one variable increases, the other variable also increases.</p> Signup and view all the answers

What is a linear correlation.

<p>A linear correlation is a relationship between two variables that can be represented by a straight line on a scatter plot.</p> Signup and view all the answers

Define Regression.

<p>Regression is a statistical method used to examine the relationship between two or more variables. It is commonly used to predict the value of one variable based on the value of another variable.</p> Signup and view all the answers

If the coefficient of correlation between two variables $x$ and $y$ is 0.64, their covariance is 16, and the variance of $x$ is 19, find the standard deviation of the $y$ series.

<p>The standard deviation of the $y$ series can be found using the formula $s_y = r \cdot \frac{s_x},{|r|}$, where $r$ is the coefficient of correlation and $s_x$ is the standard deviation of the $x$ series. Substituting the given values, we get $s_y = 0.64 \cdot \frac{\sqrt{19}},{0.64} = \sqrt{19}$. Therefore, the standard deviation of the $y$ series is $\sqrt{19}$.</p> Signup and view all the answers

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