CIS Ch.2 Test Review #3

Front

What is a linear regression equation?

Back

A linear regression equation is a mathematical representation of the relationship between two variables, typically in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you estimate future values using a linear regression equation?

Back

To estimate future values, substitute the desired x value (representing time or another independent variable) into the linear regression equation and solve for y.

Front

What is the formula to calculate total pay including commission?

Back

Total Pay = Base Salary + (Commission Rate * Sales). For example, if the base salary is $300 and the commission rate is 4%, the formula becomes Total Pay = 300 + 0.04 * Sales.

Front

How do you find the minimum sales needed to reach a specific total pay?

Back

Set the total pay equation equal to the desired amount and solve for sales. For example, to find sales needed for $550 total pay, set 300 + 0.04 * Sales = 550.

Front

What does it mean to solve a system of equations by graphing?

Back

Solving a system of equations by graphing involves plotting both equations on the same graph and identifying the point(s) where they intersect, which represents the solution.

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and then substituting that expression into the other equation to find the values of both variables.

Front

What are the key components of a word problem involving ticket sales?

Back

Key components include the total number of tickets sold, the price of each type of ticket, and the total revenue generated from ticket sales.

Front

How do you set up equations from a word problem?

Back

Identify the variables, translate the relationships and conditions into mathematical expressions, and create equations based on the information provided.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the rate of change of the dependent variable (y) with respect to the independent variable (x). A positive slope means y increases as x increases, while a negative slope means y decreases.

Front

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

Back

The y-intercept is the value of y when x is zero. It represents the starting point of the line on the y-axis.