Use a Graphing Utility to Find the Equation of the Line

question 41

Multiple Choice

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary.
-Ten students in a graduate program were randomly selected. Their grade point averages (GPAs) when they entered the program were between 3.5 and 4.0. The following data were obtained regarding their GPAs on entering the program
Versus their current GPAs. $\begin{array}{cc}\text { Entering GPA } & \text { Current GPA } \\\hline 3.5 & 3.6 \\3.8 & 3.7 \\3.6 & 3.9 \\3.6 & 3.6 \\3.5 & 3.9 \\3.9 & 3.8 \\4.0 & 3.7 \\3.9 & 3.9 \\3.5 & 3.8 \\3.7 & 4.0\end{array}$

• A) \(y = 0.50 x + 5.81\)
• B) \(y = 0.03 x + 3.67\)
• C) \(y = 0.02 x + 4.91\)
• D) \(y = 0.33 x + 2.51\)

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Definitions:

Shaping

A method of behavior training in which reinforcement is given for progressively closer approximations of the desired behavior.

Ratio Schedule

In behavior modification, a reinforcement schedule that provides rewards after a certain number of responses, encouraging consistent behavior.

Interval Schedule

A type of reinforcement schedule in operant conditioning that delivers a reward after a variable or fixed interval of time has passed.

Operant Response Rates

The rate at which an organism performs a behavior that is reinforced by a consequence in a given period, used in operant conditioning research.