Scatter Plots and Correlations

Front

What is a scatter plot?

Back

A scatter plot is a graphical representation that displays the relationship between two quantitative variables, using dots to represent data points.

Front

What does a positive correlation indicate in a scatter plot?

Back

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

Front

What does a negative correlation indicate in a scatter plot?

Back

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

Front

What does a correlation coefficient of 1 signify?

Back

A correlation coefficient of 1 signifies a perfect positive linear relationship between two variables.

Front

What does a correlation coefficient of -1 signify?

Back

A correlation coefficient of -1 signifies a perfect negative linear relationship between two variables.

Front

What does a correlation coefficient of 0 signify?

Back

A correlation coefficient of 0 signifies no linear relationship between the two variables.

Front

What is the purpose of a regression line in a scatter plot?

Back

The regression line is used to predict the value of one variable based on the value of another variable, showing the trend in the data.

Front

How do you interpret a downward trend in a scatter plot?

Back

A downward trend indicates a negative correlation, where one variable decreases as the other increases.

Front

What is the formula for a linear regression line?

Back

The formula for a linear regression line is typically expressed as y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope in a regression line?

Back

The slope in a regression line indicates the rate of change of the dependent variable for each unit change in the independent variable.