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Homework 6 results

Homework 6 results. 1.a Y = 150X + 200 Y = 200 + 150X Six minutes of flight . . . Y = 150*6 + 200 Y = 1100. 1.b. Car rental Y = .06X + 29 Y = 29 + .06X Rental for 200 miles . . . Y = .06 * 200 + 29 Y = $41.00.

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Homework 6 results

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  1. Homework 6 results

  2. 1.a Y = 150X + 200Y = 200 + 150XSix minutes of flight . . . Y = 150*6 + 200Y = 1100

  3. 1.b. Car rental Y = .06X + 29 Y = 29 + .06XRental for 200 miles . . . Y = .06 * 200 + 29 Y = $41.00

  4. 2.a. Net loss of $20.   Loss of $40 for membership plus $20 savings on $100 spent. 

  5. 2.b.

  6. 2.c.: Must spend $200 for membership to be worthwhile.

  7. 2.d.: The function is linear because the change in Y is constant across all values of X. For every $100 spent, exactly $20 saved.

  8. 2.e. Amount spent = X Amount saved = Y Y = .2X - 40

  9. 3.a. Tobacco production

  10. 3.b. Predicted 2012 production, equation method Y = -.0606 * 2010 + 122.28 Y = 0.353 billion pounds

  11. 3.b. Predicted 2012 production, trendline extension method

  12. 3.c. Confidence in prediction

  13. 3.c. Confidence in prediction Pro: • Strong R-squared • Near-term forecast Con: • Imperfections in fit to trendline • Possible shift in trend in last four years

  14. 4.a. Percentage smokers

  15. 4.b. Prediction of percentage smoking in 2010, equation method Y = -.4397 * 2010 + 902.23 Y = 18.4%

  16. 4.b. Prediction of percentage smoking in 2010, trendline extension method

  17. 4.d. Prediction of percentage smokers in 1953 Y = -.4397 * 1953 + 902.23 Y = 43.5%

  18. 4.d Confidence in prediction

  19. 4.d Confidence in prediction Pro: • Strong fit, R-squared Con: • Many years between 1953 and 1983, so many possible significant economic and social changes

  20. 4.e. Prediction when 100 percent smokers 100 = -.4397 * X + 902.23 100-902.23 = -.4397 * X -802.23/-.4397 = X 1824 = X

  21. 5.a Main point of article Projections of the percentage of the population who will be obese in 40 years is quite dubious if not totally bogus. 

  22. 5.b Relevance to linear models It makes exactly the same point about projections far into the future as we considered with regard to the number of motor vehicles and  consumption of coal

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