Correlations, Lines and Best Fit, Correlation Coefficents

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What is a correlation in statistics?

Back

A 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.

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. Each point on the graph represents an observation.

Front

What is a line of best fit?

Back

A line of best fit is a straight line that best represents the data on a scatter plot. It shows the general direction of the data points.

Front

How do you determine the slope of a line?

Back

The slope of a line is determined by the formula (change in y) / (change in x), which represents the rate of change between the two variables.

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What does the y-intercept represent in a linear equation?

Back

The y-intercept is the value of y when x is 0. It represents the point where the line crosses the y-axis.

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What is a correlation coefficient?

Back

The correlation coefficient is a numerical measure of the strength and direction of a relationship between two variables, ranging from -1 to 1.

Front

What does a correlation coefficient of 1 indicate?

Back

A correlation coefficient of 1 indicates a perfect positive correlation, meaning that as one variable increases, the other variable increases in a perfectly linear manner.

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What does a correlation coefficient of -1 indicate?

Back

A correlation coefficient of -1 indicates a perfect negative correlation, meaning that as one variable increases, the other variable decreases in a perfectly linear manner.

Front

What does a correlation coefficient of 0 indicate?

Back

A correlation coefficient of 0 indicates no correlation between the two variables, meaning there is no predictable relationship.

Front

How can you estimate the y-intercept from a graph?

Back

You can estimate the y-intercept by finding the point where the line crosses the y-axis.