The variable whose value can be explained by the value of the explanatory or predictor variable.
What is the Response Variable?
The probability of the event occurring is low, less than 5%.
What is an Unusual Event?
Compute the correlation coefficient and determine whether there is a linear relation between x and y.
X: 2,4,6,6,7
Y:4,8,10,13,20
r = 0.896
linear relation
Which of the following numbers could NOT be an event probability?
1/2,1/5,1.5,0.3,-0.5
The word AND in probability implies that we will use ....
What is the Multiplication rule?
A measure of the strength and direction of the linear relationship between two quantitative variables.
What is Correlation Coefficient?
The occurrence of one event does not affect the probability of another event.
What are Independent Events?
DAILY DOUBLE: Is this relevant for multiplying or adding probabilties?
Which variable is the explanatory variable? The response variable?
Credit Score: 545,595,640,675,705,750
Interest Rate (%):18.982,17.967,12.218,8.612,6.680,5.150
If the sample space consists of
S = {1,2,3,4,5,6,7,8,9,10}
Compute the probability of Event E, "an even number less than 9"
About 13% of the population is left handed. If two people are randomly selected, what is the probability that at least one is right handed?
What is 0.0169
Variable being manipulated in an experiment in order to observe the effect on a dependent variable.
What is the Explanatory/Independent Variable?
Events have no outcomes in common.
What is Disjoint?
Credit Score: 545,595,640,675,705,750
Interest Rate (%): 18.892,17.867,12.218,8.612,6.680,5.150
What is r = -0.976?
IF E and F ARE disjoint events, then P(E or F)=?
What is P(E or F) = P(E) + P(F)?
P (E and F) = 0.6
P (E) = 0.8
Find P (F|E)?
What is 0.75?
A variable not included in our analysis that has an impact on one or both variables we are observing.
What is a lurking variable?
A technique used to recreate a random event.
What is a simulation?
Find the least squares regression line of the following data, treating commute time as the explanatory variable and the index score as the response variable.
Commute:5,15,25,35,50,72,105
Index Score:69.2,68.3,67.5,67.1,66.4,66.1,63.9
What is y=-0.0479x+69.0296?
P (F) = 0.30
P (E or F) = 0.65
P (E and F) =0.15
Find P (E)
What is P (E) = 0.50?
Find the value of the following Combinations
8c3
52c1
48c3
What is 56,52,17296?
The line that minimizes the sum of the squared errors.
What is the Ordinary Least Squares (OLS) Regression Line?
Tell me the difference between the classical and empirical approach to probability. i.e. Which one uses experiments
Using the previous data and regression line of y=-0.0479x+69.0296 predict the index score for a commute of 30 minutes.
What is 67.6?
Are there any unusual events in this data?
Two married parents, first marriage = 0.46
Two married parents, one/both remarried = 0.15
Single Parent = 0.26
Cohabiting Parents = .08
No parent at home =.05
What is yes, no parent at home is an unusual event?
Dan is creating a spotify playlist with 16 songs, how many ways can he order those 16 songs?
What is 16! ?