Use the Given Data to Find the Equation of the Regression

question 84

Multiple Choice

Use the given data to find the equation of the regression line. Round the final values to three significant digits, 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) \(\hat { y } = 4.91 + 0.0212 x\)
• B) \(\hat { y } = 2.51 + 0.329 x\)
• C) \(\hat { y } = 3.67 + 0.0313 x\)
• D) \(\hat { y } = 5.81 + 0.497 x\)

---

Definitions:

Supply of Cornflakes

Refers to the total quantity of cornflakes that producers are willing to sell at a given price over a specific period.

Price of Cornflakes

The amount of money required to purchase a specific amount of cornflakes, which can vary based on brand, location, and market conditions.

Technology of Corn

The application of scientific principles and techniques to the cultivation and processing of corn for improvement in yield, quality, and efficiency.

Quantity of Lemonade

Refers to the total amount or volume of lemonade produced or available for sale at any given time.