An environmentalist wants to determine the relationship between the number of fires, in thousands, and the number of acres burned, in hundreds of thousands. Based on this data, decide is the correlation is significant at alpha = 0.05.

Number of fires	26	34	48	58	70	55	59	51
Number of acres burned	44	56	26	24	55	42	70	31

1. Draw the scatterplot of the data.

2. Showing all work calculate r.

3. Showing all work determine whether to reject or not reject the null hypothesis based on the t-calculation.

4. Determine the equation of best fit.

5. When x = 61, what is y?

6. Determine r^2.

7. Determine S est.

8. Find the 95% prediction interval when x = 61.