John Lives in Los Angeles and Hates the Traffic

question 124

Essay

John lives in Los Angeles and hates the traffic.He asked a sample of 6 of his coworkers who live all over Los Angles how many hours they spend commuting every year.These are their responses in hours per year.
20 240 260 300 310 570
a.Calculate and interpret the 30^th,50^th,and 70^th percentiles.
b.Are there any outliers? Is the distribution symmetric? If not,comment on its skewness.

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Definitions:

Linear Regression

A statistical method used to model the relationship between a dependent variable and one or more independent variables, assuming a linear relationship.

Normal Distribution

The normal distribution is a bell-shaped frequency distribution that is symmetric about the mean, describing how the values of a variable are dispersed or spread out.

Confidence Interval

A compilation of values, generated through statistical analysis of a sample, that is expected to include the value of a hidden population characteristic.

True Slope

In the context of linear regression, it refers to the actual slope of the line of best fit through data, indicating the true relationship between variables.