Describe the relationship: As you run more, you sweat more.
Positive, linear relationship.
(see scatterplot picture 1) Does this scatterplot resemble a positive, negative, or no correlation?
positive
Years since you purchased a car and the value of that car.
Negative (as years go by, the value goes down)
Why do we create a line of best fit?
To try and approximates the data for any given value. It helps us predict what different values that we did not plot would be.
Size of diamonds in carats and the price.
Reference Scatterplot 2: Approximately, what we project sales to be if the temperature was 20 degrees Celsius?
Approximately 450 dollars, maybe a little more.
Eye color and the amount of hours spent playing video games
No correlation!
See scatterplot three: What is the slope of this line of best fit?
Write an equation from the following information: a line with a y-intercept of (0,4) that passes through the point (-5,-6).
m = -10/-5 = 2
y-int = (0,4)
y=2x+4
Put the following equation into slope-intercept form: y-12=-4(x+2)
y=-4x+4
Time and a stocks value that doubles every year.
Positive and nonlinear! This is an exponential function.
See scatterplot 4: Complete describe the association of these two variables for both of the scatterplots.
Scatterplot 1: Strong, positive, linear association with no outliers.
Scatterplot 2: Moderate, negative, linear association with one outlier at (23,17)