MR12 Lsn 102 Worksheet _Key_.doc

# MR12 Lsn 102 Worksheet _Key_.doc - MR12 Worksheet(Equation...

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MR12 Worksheet (Equation of regression line & curve) (Key) 1. A tourist has a pamphlet that contains the following list of taxi fares for various distance. How much should the tourist expect to pay for a cab ride of 18.4 miles? Miles driven 1 3 5 12 Cost (\$) 1.75 3.80 6.50 12.00 y = .922 x + 1.172 y = .922(18.4) + 1.172 = 18.14 2. The accompanying table shows the boiling points of water at different altitudes. Location Altitude(km) Boiling point(°C) Wellington 0 100 Alberta 1.38 95 Quito 2.85 90 Mt. Logan 5.95 80 a) Find the equation of the regression line b) Predict to the nearest tenth of a degree the boiling point of water at Tibet, where the altitude is 3.68 km . a) y = -3.346 x + 99.766 b) y = -3.346(3.68) + 99.766 = 87.5 3. The data in the accompanying table show the growth of cellular phone subscriptions in the U.S. from 1993 to 1999. Year Subscriptions(millions) 1993 16.00 1995 33.80 1996 44.10 1997 55.30 1999 86.05 a) Fit an exponential curve x ab y that best fits the data, where x = 0 represents the year 1990 and y is the number of cellular phone subscriber. Approximate a and b to the nearest thousandth .

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