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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.

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

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

$0.24$ (D) Signup and view all the answers

Define correlation. Write its types also.

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. Signup and view all the answers

Define the term positive correlation.

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. Signup and view all the answers

What is a linear correlation.

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

Define Regression.

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. 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.

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 $\sqrt{19}$. Signup and view all the answers