D Question 38 2.5 pts A local municipality wants to see if there is a statistically significant relationship between number of miles (X) fire trucks must travel to a fire and the amount of damage in thousands of dollars (Y). 12 data points were analyzed. Using the summarized information, calculate the regression line, a 99% confidence interval for the slope, a 99% prediction interval for the mean amount of damage that would be caused when fire crews have to travel 8 miles to get to a fire. Also determine whether or not a null hypothesis stating the true slope = 0 should be rejected with 99% confidence. SSxx = 93.9292, SSyy = 30,891.0000, SSxy = 1,319.9500 miles | damage 2.5 | 277 9.1 | 438 9.6 | 378 7.3 | 344 9.3 | 432 5.3 | 395 5.8 | 322 1.7 | 270 9.4 | 351 5.5 | 347 10.0 | 367 9.8 | 393 O y-hat = 259.6094 + 14.0526X, confidence interval for the slope 2.5643 to 25.541, mean damage 255.6905 to 488.3700, Reject null hypothesis O y-hat = 259.6094 + 14.0526X, confidence interval for the slope 2.5643 to 25.541, mean damage 255.6905 to 488.3700, Fail to reject null hypothesis