Explanatory v. Response
response variable
a variable that measures the outcome of a study or an observation
LSRL
allows you to fit a line to a scatterplot in order to be able to better interpret the relationship between two variables, as well as make predictions about our response variable.
Location of Mrs Wagner's second property
Panama
Least Square Regression Line
ŷ = a + bx
a residual
the distance between an observed value of the response variable and the value predicted by the regression line.
explanatory variable
a variable that helps explain or influences change in a response variable
what are the 4 components to a LSRL equation?
ŷ = a + bx
ŷ = predicted y-value
x= explanatory variable
a= slope
b= y-intercept
Date of the AP Statistics Exam
May 8th, 2025
y-intercept of your LSRL
y-int=ȳ-slope*x̄
if the residual is positive, the observed point lies...
ABOVE the LSRL
explanatory variables are also known as the __ variable
x
Using 5 data points, the following values were obtained: The LSRL is...
x̄=5 Sx=100
ȳ=4 r=0.5
Sy=40
ŷ=3+0.2x
Number of units we had
9
slope of LSRL
slope= r(Sy/Sx)
if the residual is negative, the observed point lies...
BELOW the LSRL
A team of veterinarians wants to compare the effectiveness of two fertility treatments for pandas in captivity. The two treatments are in-vitro fertilization and male fertility medications. Name the explanatory and response variables.
explanatory variable: type of fertility treatment response variable: measure of fertility rate
The slope of the following value set...
ŷ=14.2 Sy=3.6
x̄=8.4 Sx=3.5
r=0.85
0.874
Mrs. Wagner's hall pass
Easter bucket
coefficient of determination
r2
if y=6.5 and ŷ= 2.1 then our residual value is...
4.4
A researcher believes that the origin of the beans used to make a cup of coffee affects hyperactivity. He wants to compare coffee beans from two different regions: Africa and South America.
explanatory variable: the origin of coffee bean response variable: hyperactivity level
Based on the below values the LSRL is.....
ŷ=12 Sy=2.6
x̄=8 Sx=3
r=0.80
0.693
The number of students are in our class
11
residual
observed-predicted
or
y-ŷ
adding up all of the residuals from your data set will equal__
0