Find the Value of σ If It Is Known That

question 41

Multiple Choice

Find the value of σ if it is known that X is normally distributed with mean 5 and 14.92% of the values are above 8?

• A)2.14
• B)2.88
• C)3
• D)None of these choices are correct.

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Definitions:

Least Squares Regression Line

A linear line that optimally aligns with the scatter plot data points by minimizing the total of the squared vertical deviations from the line.

Predicted Value Of Y

The value estimated based on a regression line for a given X value in the context of linear regression.

Simple Linear Regression Model

A statistical method that models the relationship between a dependent variable and one independent variable by fitting a linear equation to observed data.

Slope

In mathematics, the measure of the steepness, incline, or grade of a straight line, calculated as the ratio of vertical change to horizontal change between two points on the line.