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.

Tags

CCSS.8.SP.A.2

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.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

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.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.6.EE.C.9

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.

Tags

CCSS.8.SP.A.1

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.

Tags

CCSS.HSS.ID.B.5

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.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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.

Tags

CCSS.8.EE.C.7B