Use at least 3 decimal places. (Round if necessary)

The equation of the linear regression line is:

$y = 2.651 + 0.440x$

The correlation coefficient $r$ is approximately 0.673.

Testing the significance of the correlation:

To determine if the correlation is significant, you can compare the absolute value of the correlation coefficient against a critical value from a correlation table for $n = 18$ data points at a given significance level (e.g., 0.05). For $n = 18$, the critical value at $\alpha = 0.05$ is approximately 0.468.

Since $|r| = 0.673$ is greater than 0.468, the correlation is significant.

Thus, the answer is: Yes, there is a significant correlation.

Would you like further details or clarifications?

Here are 5 related questions you could explore:

1. How does the p-value relate to the significance of the correlation?
2. What happens if we add more data points to this dataset?
3. How do outliers affect the correlation coefficient?
4. What other forms of regression could be applied to this dataset?
5. How does the standard error influence the accuracy of our regression equation?

Tip: Always check if assumptions for linear regression (such as linearity and homoscedasticity) hold for the data.