Question

Sugar beet growers are interested in realizing higher yields and higher sucrose percentages from their crops. But do they go together? The data that follow are from the Montana sugar beet crop—values listed are by county, yield is tons per acre, and sucrose is percentage of sucrose. listed are by county, yield is tons per acre, and sucrose is percentage of sucrose.
a. What, if any, relationship do you expect to find between the yield per acre and the sucrose percentage for sugar beets?
b. Draw the scatter diagram for yield in tons per acre (x) and sucrose percentage (y) for the Montana data. Describe the relationship as seen on the scatter diagram. Is it what you anticipated?
c. Find the linear correlation coefficient.
d. At the 0.05 level of significance, is the linear correlation coefficient significantly different from zero?
e. One of the ordered pairs appears to be outside of the pattern created by the other 10 ordered pairs. What effect do you think removal of this pair from the data values would have on (1) the appearance of the scatter diagram, (2) the linear correlation coefficient, and (3) the answer in part d?
f. Remove Carbon County from the data and answer parts b–d. Compare the results with your answers to part e.

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