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) \(\hat { y } = 5.81 + 0.497 x\)

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Definitions:

N-Sleep

Refers to non-rapid eye movement (NREM) sleep, which encompasses stages 1 through 3 of the sleep cycle, involving deepening sleep and physiological rest.

Alpha Rhythms

Brainwaves detected through EEG, associated with relaxed, wakeful states, typically with closed eyes.

Beta Rhythms

A pattern of brain wave activity with a frequency of approximately 13 to 30 Hz that is associated with active thinking, focus, and concentration.

Delta Rhythms

Slow, high-amplitude brainwaves present in deep sleep, meditative states, and under certain pathological conditions, reflecting the deepest levels of relaxation and restorative processes in sleep.