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 Number 2 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

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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

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.