Tom is creating a scatterplot that depicts the perimeter and area of a square. (If s is the length of a side of a square, the perimeter is 4s and the area is s2). He sets up these coordinates in which the explanatory variable is the perimeter and the response variable is the area. (10, u) (12, v) (20, w) (24, x) (36, y) (z, 49) a. Find the values of u, v, w, x, y, and z. b. If the points are put on a scatterplot, do they depict a positive or negative correlation?

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curwyrm · Accepted Answer

&quot;a. (4⋅2.5,2,52)=(10.6.25) because s=2.5  (4⋅3.32)=(12,9) because s=3  (4⋅5,52)=(20,25) because s=5  (4⋅6,62)=(24,36) because s=6  (4⋅9,92)=(36,81) because s=9  (4⋅7,72)=(28,49) because s=7  We know that the coordinates are (4s,s2) with s the length of the side.  b. Positive  We note that if the x-coordinates are increasing, then the y-coordinates are also increasing and thus the correlation will be positive.&quot;

If the points are put on a scatterplot, do they depict a positive or negative correlation?

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