Homework 6 results
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Homework 6 results. 1.aY = 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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Homework 6 results


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


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


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


2.b.


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


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.


2.e. Amount spent = XAmount saved = YY = .2X - 40


3.a.Tobacco production


3.b.Predicted 2012 production, equation method

Y = -.0606 * 2010 + 122.28

Y = 0.353 billion pounds


3.b. Predicted 2012 production, trendline extension method


3.c.Confidence in prediction


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


4.a. Percentage smokers


4.b.Prediction of percentage smoking in 2010, equation method

Y = -.4397 * 2010 + 902.23

Y = 18.4%


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


4.d.Prediction of percentage smokers in 1953

Y = -.4397 * 1953 + 902.23

Y = 43.5%


4.dConfidence in prediction


4.dConfidence in prediction

Pro:

  • Strong fit, R-squared

    Con:

  • Many years between 1953 and 1983, so many possible significant economic and social changes


4.e.Prediction when 100 percent smokers

100 = -.4397 * X + 902.23

100-902.23 = -.4397 * X

-802.23/-.4397 = X

1824 = X


5.aMain point of article

Projections of the percentage of the population

who will be obese in 40 years

is quite dubious

if not totally bogus. 


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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