The figure shown to the right contains a scatter plot of 10 data poiets for tree

Question

The figure shown to the right contains a scatter plot of 10 data poiets for trees, where the diametor of a troe at breast height (Dbb) s given in inches and the height is given in oet The regession mode is shown below, where x is the Dbh in inches and y is the height in feet y 1.05x + 2.72 OA. The rate of change ot height with respect to Dbh is 1 05 nm OB. The rate of change ot height with respect to this 272nm O C. The rate of change of height with respect to Dibh is 1.05 tn D. The rate of change of height with respect to Dthis 2 72 min (B) What is the eflect of a 1-inch increase in Dh? Alinch increase in Dbh produces afoot increase in helght (C) Estimate the height of a tree with a Dbh of 15 inches Round to the nearest foot as needed ) Cluck to select your answerts) Cl 0 Type here to search 9 40 6 3

Explanation / Answer

Here slope or the rate of change of height with respect to Dbh is 1.05 ft/inch

So the correct option is C

b. As Dbh increases by 1 inch, height increase by 1.05 feet

c .y=1.05(15)+2.72=18.47 feet

d. 25=1.05x +2.72

x=21 inches

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