The Minnesota Department of Transportation would like to measure the weights of commercial trucks on its highways without the expense of maintaining weigh stations along the highway. Weigh stations are expensive to operate, delay shipments, and aggravate truckers. To see if a proposed remote weight system was accurate, transportation officials conducted a test. They weighed trucks when stopped on a regular scale. They then used the remote system to estimate the weights. Here are the data.

(a) Make a scatterplot of these data and describe the direction, form, and scatter of the plot.
(b) Find the correlation.
(c) If the trucks were weighed in kilograms, how would this change the correlation? (1 kilogram = 2.2 pounds)
(d) Interpret the correlation in the context of trucks and weights. What does the correlation tell the Minnesota Department of Transportation?

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Weight of a Truck (thousands of pounds) New System Scale Weight 27.9 26 29.9 39.5 25.1 31.6 36.2 25.1 31 35.6 40.2 38 27 30.3 34.5 27.8 29.6 33.1 35.5