AP Stats question. HELP! I feel stupid. :(

Jill_Kelly_1
Tue, 04 Apr 2006 18:50:34 +0000

I usually do well in Stats but that’s not the point. I’m baffled here. First person to get these questions gets my undying love.

The productivity of American agriculture has rapidly grown due to improved technology. Here are the data on the output per hour of labor on US farms. The variable in an index number giving productivity as a percent of the 1967 level.

This data is year and the year’s productivity. Sorry it’s squished together.
1940 21 1965 91
1945 27 1970 113
1950 35 1975 137
1955 47 1980 166
1960 67 1985 217

Calculate the logarithms of the y-values and extend the table above to show the transformed data.

Plot the transformed data on a grid. Label axes completely.

You want to construct a model to predict productivity in the near future. Since the previous plot shows two distinct linear pattersn, you decide to perform linear regression on a subset of the transformed data. Clearly identify which data points you will use, carry out your plan and write your LSRL equation.

Now transform your linear equation back to obtain a model for the original productivity data. It should be in the form of y = k * 10^bx. Write the equation for this model.

Compare your model’s prediction for 1985 to the observed productivity.

FYI, CASH PRIZE IN STORE FOR THE FIRST ONE TO GET IT. NOW DO YA GET HOW DESPERATE I AM?!