Given the following data:
Year
Vehicles
1940
32.4
1945
31
1950
49.2
1955
62.7
1960
73.9
1965
90.4
1970
108.4
1975
132.9
1980
155.8
1985
171.1
Since we will be using powers of 10 and logs, it is best to make the years smaller numbers
(imagine taking 10 to the 1940th power). So for the x list, use 40, 45, 50, 55, etc to represent the
years after 1900.
a) What kind of model does the scatterplot suggest? (find out from your instructor how to submit
any kind of hand made drawings)
b) Use logarithms to transform the data (fill in the table below)?
Year Vehicles Log (vehicles)
1940 32.4
1945 31
1950 49.2
1955 62.7
1960 73.9
1965 90.4
1970 108.4
1975 132.9
1980 155.8
1985 171.1
c) Identify the point that may be an outlier? Provide a reason as to why it may be an outlying
point.
d) Delete the outlier and write the LINEAR equation (it should be log yhat = ).
e) Write the exponential form of the regression (in the form yhat = a times b^x).
