Linear Equations
Scatterplots
Not Stats!
Residuals
All Three Topics
100
What do a and b represent in the linear equation
y = ax + b?
a is the slope
b is the y-intecept
100
What are the required components for a scatterplot?
- label and scale for your x-axis and y-axis
- title in the form of a question
- line of best fit
- all the data points
100
What continent is the country of Lesotho in?
Africa
100
What is the formula for residuals?
residual = real value - predicted value
100
Round the following number so it has only two decimal places: 47.8973542
47.90
200
When using your calculator to turn a data set into a linear equation, which option do you select from the CALC menu?
4: LinReg (ax+b)
200
Does the scatterplot below show a positive or negative association? 
Negative association
200
WHOOOAAAAA
You get 200 free points! Another group gets control of the board, though
200
With a linear equation of y = -1.76x + 8.62, what would our predicted value be for an x value of 15?
-17.78
200
What button sequence do you press to clear/reset your calculator?
2nd, +, 7, 1, 2
300
How can you tell from your linear equation whether you have a positive or negative association between variables?
The sign of the slope
300
x-variable: height in inches
y-variable: shoe size
What would be an appropriate title for a scatterplot that shows this data?
"How does shoe size depend on height in inches?"
300
How many official neighborhoods does the city of Chicago have?
77
300
What is our residual value if we have a predicted y-value of 57.83 and a real y-value of 54?
-3.83
300
A linear model is a good fit because we don't see a U-shaped pattern
400
With a linear equation of y = 12.24x - 56.12, what would our predicted y-value be for an x value of 57?
641.56
400
When you use your calculator to make a scatterplot, which option do you select from the ZOOM menu?
9: ZoomStat
400
What is Drake's full name?
Aubrey Drake Graham
400
What values go on the x and y axes for a residual graph?
x-axis: x-values from the original problem
y-axis: residual values
400
Draw a line of best fit on the scatterplot below
(this one is drawn)
500
X-variable: Number of hours spent studying
Y-variable: Grade on Environmental Science Final
linear equation: y = 3.3x + 47.5
Interpret the slope in context
Grade on the environmental science final INCREASES by 3.3 points for every additional hour spent studying
500
What does it mean to have a positive association between variables?
As the value of x goes up, the value of y also goes up
500
What's the name of Chicago's aquarium downtown?
The Shedd Aquarium
500
If you see a U-shaped pattern in your residual graph, what does that tell you about whether you can or cannot use a linear model for that data set?
A U-shaped pattern in the residuals tells you a linear model is NOT appropriate
500
X-variable: Number of hours spent studying
Y-variable: Grade on Environmental Science Final
linear equation: y = 3.3x + 47.5
Interpret the y-intercept in context
If you studied for zero hours, your grade on the environmental science final would be 47.5