Residuals (weight vs. rating)
Points on a Graph (ACT scores vs. GPA)
LSRL
Interpreting
100

The points on a residual plot measuring QO football players weights are randomly scattered 

What is an appropriate residual plot?

100

The use of a regression line for prediction outside the interval of ACT scores and GPA of QO students is used to obtain the line.  

What is extrapolation?

100

The format of the equation of the LSRL between amount of miles living from QO and amount of minutes it takes to get to QO

a= 5 minutes 

b= 2 miles

What is y-hat (predicted)= 5 + 2 (miles) ?

100

Ex. 94.5% of the variation of the amount of minutes driving to QOHS is explained by the LSRL of the number of miles away living from QOHS.

What is coefficient determination?

200

Ryan K is a wide receiver for the Quince Orchard football team. The coaches are interested in measuring the correlation between football player weights and performance ratings. Tom's performance rating was predicted to be 89% by the coaches. However, throughout the season, Tom's performance rating went down to a 72%. 

0.72 minus 0.89.

What is a residual?

200

In a scatterplot, there is one Quince Orchard student with a 36 ACT and a 2.9 GPA. That point can greatly affect correlation and regression calculations when calculating the correlation between ACT scores and GPA.

What are influential points?

200

The amount by which the predicted minutes late to class changes when a person is an additional mile away from QO

What is slope (b)?

200

Ex. The actual score on the AP Statistics quiz is typically about 3 points away from the predicted score on the AP Stats quiz by the LSRL with how far the student sits from the board during Mrs.Balfour's AP Stats lecture. 

What is the standard deviation of residuals (s)?

300

Coach Kelley is interested in finding the difference between a set of observed and predicted performance ratings of QO football players. 

What is the standard deviation of the residuals?

300

Points for ACT scores with large residuals

What are outliers?

300

The predicted number of football games the Quince Orchard football team wins when practicing for zero days 

What is (y-intercept) a?

300

Ex. The relationship between ACT scores and GPA of AP Stat students has a very strong, linear, positive association. There are no outliers present in the scatterplot. 

What is the correlation coefficient (r)?

r= 0.8-1

400

The residual plot contains a pattern that is curved after collecting data of the weight of all QO football players

What is an inappropriate residual plot?

400

Points that have much larger or much smaller ACT scores than the other points in the data set

What are points with high leverage?

400

A strong association between the amount of minutes studying for the AP Calculus exam and performance on the AP exam can conclude a cause-and-effect relationship

Trick question. This is a false statement. Association does not imply causation.

400
Ex. When you are 0 miles away from Quince Orchard, the predicted amount of minutes you'd be late to class is 0.5 minutes

What is the y-intercept (a)?