PLEASE COMPLETE BY HAND

(Each part is worth 5 points) A study was conducted to examine the effect of a day's high temperature (in degrees Fahrenheit) on the number of visitors to Kings Dominion (in thousands) that day. The data for 15 randomly selected days in 2019 are as follows [please note that the last row of the table are the totals of each column (numbers in bold)]:

Temperature	Number of Visitors	Temp.2	Number2	Temp. * Number
88.6	21.2	7849.96	449.44	1878.32
71.6	20.1	5126.56	404.01	1439.16
93.3	24.8	8704.89	615.04	2313.84
84.3	25.7	7106.49	660.49	2166.51
80.6	19.1	6496.36	364.81	1539.46
75.2	21.4	5655.04	457.96	1609.28
69.7	7.6	4858.09	57.76	529.72
82.0	28.9	6724	835.21	2369.8
69.4	11.6	4816.36	134.56	805.04
83.3	26.0	6938.89	676	2165.8
79.6	15.0	6336.16	225	1194
82.6	21.8	6822.76	475.24	1800.68
80.6	22.2	6496.36	492.84	1789.32
83.5	17.0	6972.25	289	1419.5
76.3	14.4	5821.69	207.36	1098.72
1200.6	296.8	96725.9	6344.7	24119.2

a. Compute S_xx, S_yy, and S_xy for the above data.

b. Determine and interpret the correlation coefficient for the above data.

c. Compute the least squares regression equation. Interpret what the slope and intercept values mean (be specific to this scenario).

d. Calculate and interpret a 95% confidence interval for the average change in the number of visitors when the day's high temperature increases by 1 degree.

e. If appropriate, use a 95% interval to predict the number of visitors on December 11, 2019, which had a high temperature of 39 degrees Fahrenheit. If not appropriate, explain why. Either way, clearly present your answer in a sentence.

f. If appropriate, use a 95% interval to predict the average (mean) number of visitors for all days that have a temperature of 78 degrees Fahrenheit. If not appropriate, explain why. Either way, clearly present your answer in a sentence.