https://file.aiquickdraw.com/mathbot/file/1729117456009fyty3le9.jpg

Answer this question from the following answer choices

The key information for determining the correlation between temperature and fish activity can be derived from the provided regression output.

- The "Temperature" coefficient is -3.2167, which shows that as temperature increases, fish activity decreases.
- The "R-Sq" (R-squared) value is 91.0%, indicating a very strong linear relationship between temperature and fish activity. However, the direction of the relationship is negative based on the negative coefficient for temperature.

Since the relationship is strong and negative, the correct correlation is \(-0.95\).

Would you like a more detailed explanation of this result or further questions on how correlation and regression work?

Here are 5 relative questions that expand on this:
1. What does the negative coefficient for temperature indicate about fish activity?
2. How is the R-squared value related to the strength of a correlation?
3. Can we interpret the P-value of 0.001 as significant in this context?
4. What is the difference between a residual plot and a fitted value plot?
5. How would the regression model change if we had a positive correlation?

**Tip:** The sign of the correlation coefficient tells you the direction of the relationship, while its magnitude tells you the strength.

What is the correlation between temperature and fish activity?

Explore how to determine the correlation between temperature and fish activity using regression analysis and residual plots. This problem includes concepts such as correlation, regression coefficients, and R-squared values. Suitable for students in Grades 10-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation