Lamb’s quarters is a common weed that interferes with the growth of corn. An agriculture researcher planted corn at the same rate in 16 small plots of ground and then weeded the plots by hand to allow a fixed number of lamb’s quarters plants to grow in each meter of corn row. The decision on how many of these plants to leave in each plot was made at random. No other weeds were allowed to grow. Here are the yields of corn (bushels per acre) in each of the plots:

Here is some computer output from a least-squares regression analysis of these data. Do these data provide convincing evidence at the α = 0.05 level that more lamb’s quarters reduce corn yield?

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Weeds per meter Yield Weeds per meter Yield 166.7 3 158.6 172.2 3 176.4 165.0 3 153.1 176.9 3 156.0 1 166.2 9 162.8 1 157.3 142.4 1 166.7 162.8 1 161.1 9 162.4