correlation

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What is correlation?

Back

Correlation is a statistical measure that describes the extent to which two variables change together. A positive correlation means that as one variable increases, the other also increases, while a negative correlation means that as one variable increases, the other decreases.

Tags

CCSS.HSS.ID.C.9

Front

What is a positive correlation?

Back

A positive correlation occurs when two variables move in the same direction. For example, as the temperature increases, ice cream sales also tend to increase.

Tags

CCSS.HSS.ID.B.5

Front

What is a negative correlation?

Back

A negative correlation occurs when two variables move in opposite directions. For example, as the number of hours studied increases, the number of errors on a test tends to decrease.

Tags

CCSS.HSS.ID.B.5

Front

What does a correlation coefficient (r) of 1 indicate?

Back

A correlation coefficient (r) of 1 indicates a perfect positive correlation, meaning that the two variables move together in perfect harmony.

Tags

CCSS.HSS.ID.B.5

Front

What does a correlation coefficient (r) of -1 indicate?

Back

A correlation coefficient (r) of -1 indicates a perfect negative correlation, meaning that as one variable increases, the other decreases in perfect harmony.

Tags

CCSS.HSS.ID.B.5

Front

What does a correlation coefficient (r) of 0 indicate?

Back

A correlation coefficient (r) of 0 indicates no correlation between the two variables, meaning that changes in one variable do not predict changes in the other.

Tags

CCSS.HSS.ID.B.5

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. It minimizes the distance between the line and all the points in the dataset.

Tags

CCSS.8.EE.B.5

Front

How do you determine the equation of the line of best fit?

Back

The equation of the line of best fit can be determined using statistical methods such as least squares regression, which calculates the slope and y-intercept that minimize the sum of the squared differences between the observed values and the values predicted by the line.

Tags

CCSS.8.EE.B.5

Front

What is the significance of the slope in a line of best fit?

Back

The slope of the line of best fit indicates the direction and steepness of the relationship between the two variables. A positive slope indicates a positive correlation, while a negative slope indicates a negative correlation.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept in the context of a line of best fit?

Back

The y-intercept is the point where the line of best fit crosses the y-axis. It represents the value of the dependent variable when the independent variable is zero.

Tags

CCSS.HSF.LE.B.5