project 2

Choose one of the following scenarios: (Put data in 2 separate columns.) a) Listed below are altitudes (thousands of feet) and outside air temperatures (°F) recorded by a passenger during Delta Flight 1053 from New Orleans to Atlanta. Altitude (thousands of feet) 3 10 14 22 28 31 33 Temperature (°F) 57 37 24 −5 −30 −41 −54 i) What is the least squares regression equation? Yhat = 72.50 + 3.684x ii) Construct a 95% confidence interval for the population slope. Interpret the interval. ( 3.684±2.571(0.133) = ( 3.34, 4.03) I am 95% confident the population slope is between 3.34 and 4.03 there is a positive linear relationship. iii) Test H 0 : β 1 = 0 versus H a : β 1 < 0. Can you conclude that altitude and temperature are related? Use the α = 0.05 level of significance. Show all steps. ✓ Ho:B1 = 0 Ha: B1<0 A = 0.05 p-value = 0.000 0.000<0.05, reject Ho At a = 0.05, the population slope is less than zero iv) Compute a point estimate for the mean temperature with an altitude of 6327 ft or 6.327 thousand feet. Y hat = 49.19 f v) State the 95% confidence interval for the mean temperature with an altitude of 6.327 thousand feet. Interpret this result . (43.26,55.12) I am 95% confident the population mean temperature with an altitude of 6327f is between 43.26 and 55.12 vi) State the 95% confidence interval for the predicted temperature with an altitude of 6.327 thousand feet. Interpret this result. (37.96 , 60.42) I am 95% confident the predicted temperature with an altitude of 6327f is between 37.96 and 60.42

6 5 26.800 B 8 4 24.000 B Means that do not share a letter are significantly different.