For a particular variety of plant, researchers wanted to develop a formula for predicting the quantity of seeds (grams) as a function of the density of plants. They conducted a study with four levels of the factor X, the number of plants per plot. Four replications were used for each level of X. The data are shown as follows:

Is a simple linear regression model adequate for analyzing this data set?

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Plants per Plot Quantity of Seeds, y 10 20 30 40 (grams) 12.6 11.0 12.1 10.9 15.3 16.1 14.9 15.6 17.9 18.3 18.6 17.8 19.2 19.6 18.9 20.0