Ward Cole

01/19/2023 · Elementary School

A frequent flyer was interested in the relationship between dollars spent on flying and the distance flown. She sampled 20 frequent flyers of a certain airline. She collected the number of miles flown in the previous year and the total amount of money the flyer spent. A regression line of distance flown on money spent was fit to the data, and the intercept and slope were calculated to be \( a=24,000 \) and \( b=10 \). The amounts spent ranged from a low of \( \$ 1200 \) to a high of \( \$ 9000 \). If all the frequent flyers spend similar amounts in the coming year and fly similar distances, except for the flyer who spent \( \$ 9000 \) but will spend \( \$ 20000 \) next year, that observation is best described as: an influential observation, because the explanatory variable is large and can potentially change the slope coefficient if deleted. an outlier, because the explanatory value is very large. None of the answer options is correct. an outlier, because the response variable is likely very large.