AP Statistics Jeopardy Unit 2

Explanatory v. Response

100

response variable 

a variable that measures the outcome of a study or an observation

200

explanatory variable 

a variable that helps explain or influences change in a response variable

300

explanatory variables are also known as the __ variable 

x 

400

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

500

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

LSRL

100

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. 

200

what are the 4 components to a LSRL equation? 

ŷ = a + bx

ŷ = predicted y-value

x= explanatory variable

a= slope

b= y-intercept 

300

Using 5 data points, the following values were obtained: The LSRL is... 

x̄=5                       S_x=100 

ȳ=4                       r=0.5

S_y=40

ŷ=3+0.2x

400

The slope of the following value set...

ŷ=14.2             S_y=3.6 

x̄=8.4                S_x=3.5 

r=0.85

0.874

500

Based on the below values the LSRL is.....

ŷ=12             S_y=2.6 

x̄=8                S_x=3 

r=0.80

0.693

Class Trivia

100

Location of Mrs Wagner's second property

Panama 

200

Date of the AP Statistics Exam

May 8th, 2025

300

Number of units we had 

9

400

Mrs. Wagner's hall pass

Easter bucket 

500

The number of students are in our class 

11

Formulas

100

Least Square Regression Line 

ŷ = a + bx

200

y-intercept of your LSRL

y-int=ȳ-slope*x̄

300

slope of LSRL

slope= r(S_y/S_x)

400

coefficient of determination 

r²

500

residual 

observed-predicted 

or 

y-ŷ

Residuals

100

a residual 

the distance between an observed value of the response variable and the value predicted by the regression line. 

200

if the residual is positive, the observed point lies...

 ABOVE the LSRL

300

if the residual is negative, the observed point lies...

BELOW the LSRL

400

if y=6.5 and ŷ= 2.1 then our residual value is...

4.4

500

adding up all of the residuals from your data set will equal__

0