9. A frequent flyer was interested in the relationship between dollars spent on
ID: 3075214 • Letter: 9
Question
9. 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: A) an outlier, because the explanatory value is very large. B) an outlier, because the response variable is likely very large C) an influential observation, because the explanatory variable is large and can potentially change the slope coefficient if deleted. None of the answer options is correct. D) 10. 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. A least-squares line is: A) called resistant, because an outlier in the response value does not always change the B) C) D) slope value called resistant, because an outlier in the explanatory value can potentially greatly affect the value of the slope not resistant, because an outlier in the response may not change the value of the slope not resistant, because an outlier in the explanatory value can greatly change the slope Page 3 11. 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. Based on the regression line, we can conclude that A) if a frequent flyer has more money to spend, that person will fly more. B) if a frequent flyer has less money to spend, that person will fly less or shop for cheaper flights. if a frequent flyer has more money to spend, that person will shop for more expensive flights there is a positive association between distance flown and amount of money spent C) D)Explanation / Answer
(9) right choice is C. an influential observation....................
distance(y)=24000+10*money(x)
An outlier has a large residual i,e, difference between (y^) and the observed value (y)).
An influential observation is any point that has a large effect on the slope of a regression line fitting the data. generally extreme values are influential
(10) right choice is D. not resistent, because an outlier in the explanatory value can greatley change the slope
Least squares regression lines suffer from sensitivity to outliers. Because best fit line makes use of the mean (which is not a robust measure of location), its breakdown point is 1/n meaning that all it takes is for one data point to behave differently from the rest of the points to significantly alter the slope and intercept of the best fit line,
(11) right choice is D. there is positive association ............
since here slope b=10 is postive , it means there is positive association between distrance flown and amount spent on flying
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.