Biologists have observed that the chirping rate of crickets of a certain species appears to be related to temperature. The table shows the chirping rates for various temperatures. Temperature (°F) Chirping rate (chirps/min) 50 22 55 43 60 80 65 88 70 111 75 138 80 170 85 202 90 213 b)Find and graph the regression line where x is the temperature in degrees Fahrenheit and y is the chirping rate in chirps per minute. (Enter any decimals correct to three places.) (c) Use the linear model in part (b) to estimate the chirping rate at 100°F. (Round your answer to the nearest whole number.)
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.
Biologists have observed that the chirping rate of crickets of a certain species appears to be related to temperature. The table shows the chirping rates for various temperatures.
| Temperature (°F) |
Chirping rate (chirps/min) |
|---|---|
| 50 | 22 |
| 55 | 43 |
| 60 | 80 |
| 65 | 88 |
| 70 | 111 |
| 75 | 138 |
| 80 | 170 |
| 85 | 202 |
| 90 | 213 |
b)Find and graph the regression line where x is the temperature in degrees Fahrenheit and y is the chirping rate in chirps per minute. (Enter any decimals correct to three places.)
(c) Use the linear model in part (b) to estimate the chirping rate at 100°F. (Round your answer to the nearest whole number.)
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