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For each 1000-foot increase in elevation, how many fewer frost-free days are predicted. We want to determine how many fewer frost-free days are predicted when the elevation increases by 1000 ft.
Predictor Coef SE Coef T P
Constant 316.27 28.31 11.24 0.002
Elevation -32.660 3.511 −8.79 0.003
S = 11.8603 R-Sq = 95.1%
Here, ŷ is the number of frost-free days and the variable x is the elevation measured in thousands of feet. Therefore, each 1000 ft increase in elevation results in a 1 unit increase in x. fill in the blank in part a/part b.
a) Recall that the slope of a least-squares line, ŷ = a + bx, indicates how much ŷ changes when x changes by 1 unit. In part (a), we determined the slope of the line is b = −32.660. This means that for each unit that x increases, the value of ŷ decreases by _______ units.
b) Therefore, when the elevation increases by 1000 ft there are _______ fewer frost-free days.
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