Answer :
Let's analyze the given data set step-by-step to identify the individuals and classify the variables as either categorical or quantitative.
### Part (a): Identify the Individuals in this Data Set
The data set consists of a table with rows and columns. Each row corresponds to a distinct record of a person's data, and therefore, each row represents an individual in this data set. The columns represent different attributes or characteristics of these individuals.
Based on the provided table, the individuals can be identified as follows:
1. An individual who is female, in 9th grade, with a GPA of 2.3, having 3 children in the family, did 0-14 minutes of homework last night, and uses an iPhone.
2. An individual who is male, in 11th grade, with a GPA of 3.8, having 6 children in the family, did 15-29 minutes of homework last night, and uses an Android.
3. An individual who is male, in 10th grade, with a GPA of 3.1, having 2 children in the family, did 15-29 minutes of homework last night, and uses an Android.
4. An individual who is female, in 10th grade, with a GPA of 4.0, having 1 child in the family, did 45-59 minutes of homework last night, and uses an iPhone.
5. An individual who is female, in 10th grade, with a GPA of 3.4, having 4 children in the family, did 0-14 minutes of homework last night, and uses an iPhone.
6. An individual who is female, in 10th grade, with a GPA of 3.0, having 3 children in the family, did 30-44 minutes of homework last night, and uses an Android.
7. An individual who is male, in 9th grade, with a GPA of 3.9, having 2 children in the family, did 15-29 minutes of homework last night, and uses a Phone.
8. An individual who is male, in 12th grade, with a GPA of 3.5, having 2 children in the family, did 0-14 minutes of homework last night, and uses an iPhone.
### Part (b): What are the Variables? Classify Each as Categorical or Quantitative
A variable is a characteristic of an individual that can take on different values. Variables can be classified into two main types: categorical and quantitative.
1. Gender: This variable represents the gender of the individual.
- Type: Categorical (values can be 'F' or 'M').
2. Grade Level: This variable represents the grade level of the individual.
- Type: Quantitative (values are numerical, such as 9, 10, 11, or 12).
3. GPA: This variable represents the Grade Point Average of the individual.
- Type: Quantitative (values are numerical, such as 2.3, 3.8, etc.).
4. Children in Family: This variable represents the number of children in the family.
- Type: Quantitative (values are numerical, such as 1, 2, 3, or 6).
5. Homework Last Night (minutes): This variable represents the range of minutes spent doing homework last night.
- Type: Categorical (values can be ranges such as '0-14', '15-29', etc.).
6. Android or iPhone?: This variable represents whether the individual has an Android phone or an iPhone.
- Type: Categorical (values can be 'Android', 'iPhone', or 'Phone').
### Summary of Variables
Here is a summary table for quick reference:
| Variable | Type | Values (Examples) |
|-----------------------------|--------------|----------------------------------------|
| Gender | Categorical | 'F', 'M' |
| Grade Level | Quantitative | 9, 10, 11, 12 |
| GPA | Quantitative | 2.3, 3.8, 3.1, 4.0, etc. |
| Children in Family | Quantitative | 1, 2, 3, 4, 6 |
| Homework Last Night (min) | Categorical | '0-14', '15-29', '30-44', '45-59' |
| Android or iPhone? | Categorical | 'Android', 'iPhone', 'Phone' |
By carefully examining the data set and the types of each variable, we can accurately classify each variable and identify the individuals within the data set.
### Part (a): Identify the Individuals in this Data Set
The data set consists of a table with rows and columns. Each row corresponds to a distinct record of a person's data, and therefore, each row represents an individual in this data set. The columns represent different attributes or characteristics of these individuals.
Based on the provided table, the individuals can be identified as follows:
1. An individual who is female, in 9th grade, with a GPA of 2.3, having 3 children in the family, did 0-14 minutes of homework last night, and uses an iPhone.
2. An individual who is male, in 11th grade, with a GPA of 3.8, having 6 children in the family, did 15-29 minutes of homework last night, and uses an Android.
3. An individual who is male, in 10th grade, with a GPA of 3.1, having 2 children in the family, did 15-29 minutes of homework last night, and uses an Android.
4. An individual who is female, in 10th grade, with a GPA of 4.0, having 1 child in the family, did 45-59 minutes of homework last night, and uses an iPhone.
5. An individual who is female, in 10th grade, with a GPA of 3.4, having 4 children in the family, did 0-14 minutes of homework last night, and uses an iPhone.
6. An individual who is female, in 10th grade, with a GPA of 3.0, having 3 children in the family, did 30-44 minutes of homework last night, and uses an Android.
7. An individual who is male, in 9th grade, with a GPA of 3.9, having 2 children in the family, did 15-29 minutes of homework last night, and uses a Phone.
8. An individual who is male, in 12th grade, with a GPA of 3.5, having 2 children in the family, did 0-14 minutes of homework last night, and uses an iPhone.
### Part (b): What are the Variables? Classify Each as Categorical or Quantitative
A variable is a characteristic of an individual that can take on different values. Variables can be classified into two main types: categorical and quantitative.
1. Gender: This variable represents the gender of the individual.
- Type: Categorical (values can be 'F' or 'M').
2. Grade Level: This variable represents the grade level of the individual.
- Type: Quantitative (values are numerical, such as 9, 10, 11, or 12).
3. GPA: This variable represents the Grade Point Average of the individual.
- Type: Quantitative (values are numerical, such as 2.3, 3.8, etc.).
4. Children in Family: This variable represents the number of children in the family.
- Type: Quantitative (values are numerical, such as 1, 2, 3, or 6).
5. Homework Last Night (minutes): This variable represents the range of minutes spent doing homework last night.
- Type: Categorical (values can be ranges such as '0-14', '15-29', etc.).
6. Android or iPhone?: This variable represents whether the individual has an Android phone or an iPhone.
- Type: Categorical (values can be 'Android', 'iPhone', or 'Phone').
### Summary of Variables
Here is a summary table for quick reference:
| Variable | Type | Values (Examples) |
|-----------------------------|--------------|----------------------------------------|
| Gender | Categorical | 'F', 'M' |
| Grade Level | Quantitative | 9, 10, 11, 12 |
| GPA | Quantitative | 2.3, 3.8, 3.1, 4.0, etc. |
| Children in Family | Quantitative | 1, 2, 3, 4, 6 |
| Homework Last Night (min) | Categorical | '0-14', '15-29', '30-44', '45-59' |
| Android or iPhone? | Categorical | 'Android', 'iPhone', 'Phone' |
By carefully examining the data set and the types of each variable, we can accurately classify each variable and identify the individuals within the data set.
