Legumes, such as peas and beans, are important crops whose production is greatly affected by pests. The article “Influence of Wind Speed on Residence Time of Uroleucon ambrosiae alatae on Bean Plants” (Environmental Entomology [1991]: 1375–1380) reported on a study in which aphids were placed on a bean plant, and the elapsed time until half of the aphids had departed was observed. Data on x = wind speed (m/sec) and y = residence half time were given and used to produce the following information.

a. What percentage of observed variation in residence half time can be attributed to the simple linear regression model?

b. Give a point estimate of σ and interpret the estimate.

c. Estimate the mean change in residence half time associated with a 1-m/sec increase in wind speed.

d. Calculate a point estimate of true average residence half time when wind speed is 1 m/sec.

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a = 0.0119 SSTO = 73.937 b = 3.4307 n = 13 SSResid = 27.890