Gestation and Average Longevity Is there a relationship between the gestation of a sample of animals and the average longevity in years for a random sample of animals? Use a TI-83 Plus/TI-84 Plus calculator. Gestation x 101 285 152 243 113 Longevity y 4 18 10 37 12 Send data to Excel
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.
1. Find the
2. Find the p-value
![**Gestation and Average Longevity**
**Is there a relationship between the gestation of a sample of animals and the average longevity in years for a random sample of animals? Use a TI-83 Plus/TI-84 Plus calculator.**
| Gestation \( x \) | 101 | 285 | 152 | 243 | 113 |
|------------------|-----|-----|-----|-----|-----|
| Longevity \( y \) | 4 | 18 | 10 | 37 | 12 |
**Figure Explanation:**
The table above provides data on the gestation period (in days) and the average longevity (in years) of a sample of animals.
- **Gestation \( x \)**: This row lists the gestation periods for a selection of animals. The values are 101, 285, 152, 243, and 113 days respectively.
- **Longevity \( y \)**: This row lists the corresponding average longevity of the same selection of animals, in years. The values are 4, 18, 10, 37, and 12 years respectively.
The purpose of this data is to examine whether there is a potential relationship between the gestation period and the average longevity of these animals. Analyzing this data using a TI-83 Plus or TI-84 Plus calculator can help determine if a correlation exists between these two variables.
**Action Steps:**
1. Enter the data into the calculator.
2. Use statistical functions to calculate and analyze the correlation.
3. Interpret the results to understand the relationship between gestation and longevity.
**Send data to Excel**
(Button for exporting the data to Excel for further analysis)
*Note: Practical and detailed steps for entering data into the TI-83 Plus/TI-84 Plus calculators and performing correlation analysis should be provided on the educational website.*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb63fc9e3-7584-4c90-be8d-bc130c8a2c55%2Fad356264-e041-4f04-abc5-db481567f830%2Fdukwlns_processed.jpeg&w=3840&q=75)
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