Scatter Plot Correlation Flashcard

Front

What is correlation in statistics?

Back

Correlation is a statistical measure that describes the extent to which two variables change together. It can be positive, negative, or no correlation.

Front

What does a negative correlation indicate?

Back

A negative correlation indicates that as one variable increases, the other variable tends to decrease.

Front

What does a positive correlation indicate?

Back

A positive correlation indicates that as one variable increases, the other variable also tends to increase.

Front

What does 'no association' mean in correlation?

Back

'No association' means that there is no discernible relationship between the two variables; changes in one do not affect the other.

Front

What is a scatter plot?

Back

A scatter plot is a graph that displays values for typically two variables for a set of data, showing how much one variable is affected by another.

Front

What is the line of best fit?

Back

The line of best fit is a straight line that best represents the data on a scatter plot, minimizing the distance between the line and all data points.

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How do you determine the line of best fit?

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The line of best fit can be determined using methods such as least squares regression, which minimizes the sum of the squares of the residuals.

Front

What is a residual in the context of regression analysis?

Back

A residual is the difference between the observed value and the predicted value from a regression model.

Front

What does a residual plot show?

Back

A residual plot shows the residuals on the vertical axis and the independent variable on the horizontal axis, helping to assess the fit of a regression model.

Front

What indicates a good fit in a residual plot?

Back

A good fit is indicated by residuals that are randomly scattered around zero, showing no patterns.