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 if the...

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 if the correlation is significant at alpha = .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


4. Determine the line of best fit y = a + bx


5. When x= 61, what is y


6. Determine r^2


7. Determine Sest


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