Chapter 6 Review

Front

What is the definition of correlation?

Back

Correlation refers to a statistical relationship between two variables, where changes in one variable are associated with changes in another, but one does not necessarily cause the other.

Front

What does a residual represent in a linear regression model?

Back

A residual is the difference between the observed value and the predicted value from a regression model, not the slope of the line.

Front

What is the formula for a line of best fit?

Back

The line of best fit can be represented in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you interpret a slope of 0.96 in a line of best fit?

Back

A slope of 0.96 indicates that for every one unit increase in the independent variable (x), the dependent variable (y) increases by 0.96 units.

Front

What is the significance of a y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0, representing the starting point of the line on the y-axis.

Front

What is the purpose of making predictions in statistics?

Back

Making predictions allows us to estimate future values based on existing data and trends.

Front

What does it mean if two variables have a positive correlation?

Back

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

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.

Front

How can you determine the strength of a correlation?

Back

The strength of a correlation can be determined using the correlation coefficient, which ranges from -1 to 1.

Front

What is the role of data in creating a line of best fit?

Back

Data points are used to calculate the line of best fit, which minimizes the distance between the data points and the line.