The following table shows the number of hiking permits issued for a specific trail at Yellowstone National Park for selected years and the corresponding number of bears sighted by the hikers on that trail.

(a) Construct a scatter diagram with hiking permits on the horizontal axis. 

(b) Use the scatter diagram in part (a) to determine whether you believe that a correlation exists between the number of hiking permits issued and the number of bears sighted by hikers. If so, is it a positive or negative correlation? 

(c) Calculate the correlation coefficient between the number of hiking permits issued and the number of bears sighted by hikers. 

(d) Determine whether a correlation exists at α = 0.05. 

(e) Determine the equation of the line of best fit between the number of hiking permits issued and the number of bears sighted by hikers. Round both m and b to the nearest hundredth. y

(f)  Assuming that this trend continues, use the equation of the line of best fit to estimate the number of bears sighted if 1500 hiking permits were issued.

Transcribed Image Text:

Hiking permits 765 926 1145 842 1485 1702 127 119 153 156 Bears 150 119