medium · SAT Math
An arborist recorded the height of a particular species of maple tree at various ages after planting. The table shows age (x, in years since planting) and height (y, in feet), the data used to construct a scatterplot: Age x (years) | Height y (ft) 1 | 6.0 2 | 7.9 3 | 9.8 4 | 11.5 5 | 13.4 6 | 15.0 7 | 17.1 8 | 18.6 Line of best fit: y = 1.8x + 4.2, where x = years since planting and y = predicted height of the tree in feet. Which statement correctly interprets the SLOPE of this line of best fit in context?
- The model predicts the tree grows a total of 1.8 feet over every 4.2 years since it was planted, rather than 1.8 feet per year.
- The model predicts that the tree's height decreases by about 1.8 feet for each additional year since it was planted.
- The model predicts that, on average, the tree's height increases by about 1.8 feet for each additional year since it was planted.
- The model predicts the tree was about 1.8 feet tall when it was planted, and its height then increases by about 4.2 feet every year after that.
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