Correlation Coefficient

Front

What does a correlation coefficient of r = -0.89 indicate about the relationship between two variables?

Back

It indicates a strong negative correlation, meaning that as one variable increases, the other variable tends to decrease.

Front

How do you find the equation of the line of best fit for a set of data points?

Back

You can use linear regression analysis to calculate the slope and y-intercept, resulting in an equation of the form y = mx + b.

Front

What type of association is indicated by a negative correlation coefficient?

Back

A negative correlation coefficient indicates a negative association, meaning that as one variable increases, the other variable decreases.

Front

What is the range of possible values for a correlation coefficient?

Back

The correlation coefficient can range from -1 to 1, where -1 indicates a perfect negative correlation, 0 indicates no correlation, and 1 indicates a perfect positive correlation.

Front

What does a correlation coefficient of r = 0.5 suggest about the relationship between two variables?

Back

It suggests a moderate positive correlation, indicating that as one variable increases, the other variable tends to also increase.

Front

What is the significance of a weak negative correlation?

Back

A weak negative correlation indicates that there is a slight tendency for one variable to decrease as the other increases, but the relationship is not strong.

Front

How can you visually assess the correlation between two variables?

Back

You can create a scatter plot to visually assess the correlation; the pattern of the points will indicate the type and strength of the correlation.

Front

What is the formula for calculating the Pearson correlation coefficient?

Back

The formula is r = (nΣxy - ΣxΣy) / sqrt[(nΣx^2 - (Σx)^2)(nΣy^2 - (Σy)^2)], where n is the number of pairs, x and y are the variables.

Front

What does it mean if the correlation coefficient is close to 0?

Back

It means that there is little to no linear relationship between the two variables.

Front

What is the difference between correlation and causation?

Back

Correlation indicates a relationship between two variables, while causation implies that one variable directly affects the other.