Residuals (weight vs. rating)
The points on a residual plot measuring QO football players weights are randomly scattered
What is an appropriate residual plot?
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?
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) ?
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?
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?
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?
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)?
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)?
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?
Points for ACT scores with large residuals
What are outliers?
The predicted number of football games the Quince Orchard football team wins when practicing for zero days
What is (y-intercept) a?
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
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?
Points that have much larger or much smaller ACT scores than the other points in the data set
What are points with high leverage?
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.
What is the y-intercept (a)?