The following data is from a report of the U.S. Department of Agriculture entitled “Results of Fiber and Spinning Tests for Some Varieties of Upland Cotton Grown in the United States, Crop of 1944.” We've significantly abbreviated the data for ease of analysis, see [Duncan], page 813, for a more complete description and analysis. Here S is skein strength, “perhaps the most important single index of spinnning quality” for cotton, and L is fiber length. S is measured in pounds (to breaking point) and L in hundredths of an inch. See [Duncan] for a more exact description of these measurements.(a) Does this data suggest that a linear model would be appropriate to study spinning quality on the basis of fiber length? (b) How do the two approaches to part (a) relate? [Hint: Both S and L are generated together randomly and it's not unreasonable to think they are “jointly” normally distributed.](c) What was the change in average skein strength per hundredth of an inch in fiber length for the 1944 crop of cotton sampled here? (d) What would be the spinning quality of a batch of cotton from the 1944 cotton crop which had a fiber length of about 0.7 inch?
The following data is from a report of the U.S. Department of Agriculture entitled “Results of…
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