Find the Value of the Linear Correlation Coefficient R A) 0256
B) 0
C) 0

question 162

Multiple Choice

Find the value of the linear correlation coefficient r.
-The paired data below consist of the temperatures on randomly chosen days and the amount a certain kind of plant grew (in millimeters) : $$\begin{array} { c | r r r r r r r r r } \text { Temp } & 62 & 76 & 50 & 51 & 71 & 46 & 51 & 44 & 79 \\\hline \text { Growth } & 36 & 39 & 50 & 13 & 33 & 33 & 17 & 6 & 16\end{array}$$

• A) 0.256
• B) 0
• C) 0.196
• D) -0.210

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Definitions:

Pareto Optimal

A state of allocation of resources from which it is impossible to reallocate without making at least one individual or preference criterion worse off.

Marginal Rate of Substitution (MRS)

The marginal rate of substitution is the rate at which a consumer is willing to substitute one good for another while keeping the utility level constant.

Cobb-Douglas Utility Functions

A mathematical representation of consumer preferences that shows how utility depends on the consumption of different goods, characterized by constant elasticity of substitution.

Pareto Optimal

A state of allocation of resources from which it is impossible to reallocate to make any one individual or preference criterion better off without making at least one individual or preference criterion worse off.