Graphical Models

Linear Models

100

What is the general formula for linear equations?

y=mx + b

200

Write the equation of a line with slope 2 and y-intercept 5.

y=2x+5

300

Identify if this is linear:
x: 1, 2, 3, 4
y: 5, 8, 11, 14

Yes (constant +3 increase)

400

what does "m" and "b" represent in the formula y=mx+b

m=slope, b= y intercept

500

Given a table of values, how do you check if the relationship is linear?

Calculate first differences

Quadratic Models

100

What shape represents a quadratic relation?

Parabola (U shape)

200

What direction does a parabola open if a>0

upward (U shape)

300

What is the general formula for quadratic model?

y=ax² + bx + c

400

What is the vertex of a parabola?

The highest or lowest point (maximum or minimum)

500

Given a table of values, how do you check if the relationship is quadratic?

Calculate second differences

Exponential Models

100

What is the general form of an exponential equation

y=ab^x

200

in terms of y= ab^x, what does "a" represent

initial value

300

What does the “b” represent in y=ab^x

Growth/decay Factor

400

Find the growth factor:
y: 8, 16, 32, 64

2

500

Given a table of values, how do you check if the relationship is exponential?

calculate the growth/decay factor

Trends in Graphs

100

What type of model fits “increases by $5 each day”?

Linear

200

What type of model fits “increases by 10% each year”?

Exponential

300

A curve that rises then falls represents

quadratic

400

Describe this trend:
“Starts slow, increases rapidly, then becomes extremely steep”

exponential growth

500

To determine the best graphical model using regression, R² must be closest to what number?

1