The table shows the heights and the lengths of several rectangles.

Height (in.) 41 70 21 34 10 92 54 24 10 35 42 66
Length (in.) 21 25 32 12 16 45 40 23 45 35 21 14

What does the correlation coefficient for the data indicate about the strength of the linear association between the height and the length of these rectangles?

A.
Weak negative correlation

B.
Strong negative correlation

C.
Weak positive correlation

D.
Strong positive correlation

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Step-by-step explanation:

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1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

40 x 50 = 2000

step-by-step explanation: