Create a Scatterplot That Shows a Perfect Positive Linear Correlation

question 52

Essay

Create a scatterplot that shows a perfect positive linear correlation between x and y. How would the scatterplot change if the correlation showed each of the following? (a)a strong positive linear correlation; (b)a weak positive linear correlation; (c)no linear correlation.

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Definitions:

Slope

In mathematics and statistics, it represents the rate at which a line inclines or declines, showing the change in the dependent variable for a unit change in the independent variable.

Y-Intercept

The location at which a line or curve crosses the y-axis in a coordinate system.

Simple Linear Regression

A statistical method that examines the linear relationship between two continuous variables, using a straight line to model the relationship.

Error Terms

In statistical modeling, these represent the difference between observed values and the values predicted by the model, reflecting unexplained or random variability.