Linear Regression & Word Problems

Front

What is Linear Regression?

Back

Linear Regression is a statistical method used to model the relationship between a dependent variable and one or more independent variables by fitting a linear equation to observed data.

Front

What does the equation of a line look like in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope in a linear equation?

Back

The slope (m) represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how much y changes for a one-unit change in x.

Front

What is the y-intercept in a linear equation?

Back

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

Front

How do you write an equation from a word problem involving two variables?

Back

Identify the variables, determine the relationship between them, and set up an equation based on the information provided.

Front

What is a scatter plot?

Back

A scatter plot is a graph that shows the relationship between two quantitative variables by displaying data points on a two-dimensional axis.

Front

What does a positive association in a graph indicate?

Back

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

Front

What is the line of best fit?

Back

The 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

How do you determine the equation of a line from a word problem?

Back

Translate the problem into a mathematical equation using the given information about costs, quantities, and total amounts.

Front

What is the purpose of using linear equations in real-life situations?

Back

Linear equations help model and solve problems involving relationships between quantities, such as budgeting, sales, and resource allocation.