A veterinarian researcher would like to know if the gestation period of an animal can be used to predict the life expectancy. She collects the following data: Animal Gestation Period (Days) Life Expectancy (Years) Cat 63 11 Chicken 22 7.5 Dog 63 11 Duck 28 10 Goat 151 12 Lion 108 10 Parakeet 18 8 Pig 115 10 Rabbit 31 7 a) Compute the linear correlation coefficient between gestation period and life expectancy (round to four decimal places) b) Comment on the type of relation that appears to exist between gestation period and life expectancy based on the linear correlation coefficient.
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.
A veterinarian researcher would like to know if the gestation period of an animal can be used to predict the life expectancy. She collects the following data:
| Animal |
Gestation Period (Days) |
Life Expectancy (Years) |
| Cat |
63 |
11 |
| Chicken |
22 |
7.5 |
| Dog |
63 |
11 |
| Duck |
28 |
10 |
| Goat |
151 |
12 |
| Lion |
108 |
10 |
| Parakeet |
18 |
8 |
| Pig |
115 |
10 |
| Rabbit |
31 |
7 |
a) Compute the linear
b) Comment on the type of relation that appears to exist between gestation period and life expectancy based on the linear correlation coefficient.
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