d. What is the probability that a female respondent drives either a truck or an SUV? e. If it is known that an individual drives a car, what is the probability that the individual is female? f. If it is known that an individual is male, what is the probability that he drives an SUV? g. Determine whether the random variable "gender" and the event "vehicle driven" are statistically independent. What would this mean for advertisers?
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
Solve for D, E, F & G. ( see pictures)
![Using the accompanying data, develop a cross-tabulation for Gender and Vehicle Driven; then convert this table into probabilities.
a. What is the probability that the respondent is female?
b. What is the probability that the respondent drives an SUV?
c. What is the probability that a respondent is male and drives a minivan?
d. What is the probability that a female respondent drives either a truck or an SUV?
e. If it is known that an individual drives a car, what is the probability that the individual is female?
f. If it is known that an individual is male, what is the probability that he drives an SUV?
g. Determine whether the random variable "gender" and the event "vehicle driven" are statistically independent. What would this mean for advertisers?
Click the icon to view gender and vehicle driven data.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6835fe2b-4dfe-4db0-80f6-f1ad78fce3f2%2F443972a7-722a-494a-853f-625f1e1ce33e%2Frciwjpo_processed.jpeg&w=3840&q=75)
![Vehicle Driven
Truck
Truck
Truck
Truck
SUV
SUV
SUV
SUV
SUV
SUV
SUV
Gender
Male
Male
Male
Male
Male
Male
Male
Male
Female
Male
SUV
SUV
SUV
SUV
SUV
SUV
SUV
Minivan
Minivan
Minivan
Minivan
Minivan
Minivan
Minivan
Minivan
Minivan
Male
Male
Female
Female
Female
Female
Female
Female
Male
Female
Female
Female
Female
Female
Male
Female
Female
Female
Female
Fermale
Car
Car
Car
Car
Female
Male
Male
Female
Female
Car
Car
Car
Car
Car
Car
Car
Car
Car
Car
Car
Car
Car
Car
Car
Car
Car
Car
Male
Male
Female
Female
Female
Female
Female
Male
Male
Female
Female
Female
Female
Female
Female](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6835fe2b-4dfe-4db0-80f6-f1ad78fce3f2%2F443972a7-722a-494a-853f-625f1e1ce33e%2Fhngqfnn_processed.jpeg&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Male | Female | Total | |
Trucks | 4 | 0 | 4 |
SUV | 8 | 7 | 15 |
Minivan | 1 | 8 | 9 |
Car | 6 | 16 | 22 |
Total | 19 | 31 | 50 |
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