Find the equation of the least squares line. 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. Entering GPA (x) Current GPA 3.5 3.6 3.8 3.7 3.6 3.9 3.6 3.6 334 3 3.5 3.9 3.9 4.0 3.9 3.8 3.7 3.9 3.5 3.8 3.7 4.0 Select one: O a. y = 5.81 +0.497x O b. y 3.67 + 0.0313x O c. y 4.91 +0.0212x O d. y 2.51 + 0.329x

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 5EQ
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Find the equation of the least squares line.
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.
Entering GPA (x) Current GPA
3.5 3.6
3.8 3.7
3.6 3.9
3.6 3.6
3.5
3.9
3.8
3.7
3.9
4.0
3.9
3.9
3.5
3.8
3.7 4.0
Select one:
O a. y = 5.81 +0.497x
O b. y 3.67 + 0.0313x
O c. y 4.91 +0.0212x
O d. y = 2.51 + 0.329x
Transcribed Image Text:Find the equation of the least squares line. 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. Entering GPA (x) Current GPA 3.5 3.6 3.8 3.7 3.6 3.9 3.6 3.6 3.5 3.9 3.8 3.7 3.9 4.0 3.9 3.9 3.5 3.8 3.7 4.0 Select one: O a. y = 5.81 +0.497x O b. y 3.67 + 0.0313x O c. y 4.91 +0.0212x O d. y = 2.51 + 0.329x
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