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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
2.a. Net loss of $20. Loss of $40 for membership plus $20 savings on $100 spent.
2.b. SpendingSavings 0 0 10020 20040 30060 40080
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 = X Amount saved = Y Y =.2X - 40
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
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
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
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