M1. 5.1-5.2 Analyze Line of Best Fit Eqtns

Front

What does the equation of a line in the form y = mx + b represent?

Back

It represents a linear relationship between two variables, where m is the slope and b is the y-intercept.

Front

What is the meaning of the slope (m) in a linear equation?

Back

The slope indicates the rate of change of the dependent variable (y) with respect to the independent variable (x).

Front

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

Back

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

Front

How do you interpret a positive slope in a linear relationship?

Back

A positive slope indicates that as the independent variable increases, the dependent variable also increases.

Front

How do you interpret a negative slope in a linear relationship?

Back

A negative slope indicates that as the independent variable increases, the dependent variable decreases.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in the dependent variable as the independent variable changes.

Front

What does the correlation coefficient (r) indicate in statistics?

Back

The correlation coefficient indicates the strength and direction of a linear relationship between two quantitative variables.

Front

What does an r value of -0.89 indicate?

Back

It indicates a strong negative linear relationship between the two variables.

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, minimizing the distance between the line and all data points.

Front

What is the purpose of using a line of best fit in data analysis?

Back

The purpose is to make predictions about the dependent variable based on the independent variable.