Consider the relation between hours of study and quiz grade for three different students.(i) Student 1 did not spend any time and received 5 in the quiz. P = (0,5)(ii) Student 2 spent an hour studying and received 5 in the quiz. P, = (1,5)(iii) Student 3 spent two hours studying and received 8 in the quiz. P3 = (2,8).We want to find a linear relation between hours of study and grade of the quiz Y = mx + q where m and q are ourunknowns, x represents the hours studied for the quiz and y the quiz grade.(4a,) Show that there is no line y = mx + q that passes through P1 , P2 and P3 using an inconsistentsystem of equations.Hint: Substitute the x and y values of P1, P2, P3 in the line equation and show that the 3x2 system with unknownsm and q has no solutions.(4b,) Write the system of equations for part a) in matrix form AE = b where = (m, q)" .(4c,) Compute (AT A)-1

Given: A students denote p1 , p2, p3 points are ⇒ p1=0,5…

Consider the relation between hours of study and quiz grade for three different students. (i) Student 1 did not spend any time and received 5 in the quiz. P = (0, 5) (ii) Student 2 spent an hour studying and received 5 in the quiz. P2 = (1,5) (iii) Student 3 spent two hours studying and received 8 in the quiz. P3 = (2,8). We want to find a linear relation between hours of study and grade of the quiz y = mx + q where m and q ar unknowns, æ represents the hours studied for the quiz and y the quiz grade. (4a, ) Show that there is no line y = mx + q that passes through P1 , P2 and P3 using an inconsister system of equations. Hint: Substitute the y and y values of P. P. P. in the line eguation and show that the 3x2 svstem with unkn

Consider the relation between hours of study and quiz grade for three different students. (i) Student 1 did not spend any time and received 5 in the quiz. P = (0, 5) (ii) Student 2 spent an hour studying and received 5 in the quiz. P2 = (1,5) (iii) Student 3 spent two hours studying and received 8 in the quiz. P3 = (2,8). We want to find a linear relation between hours of study and grade of the quiz y = mx + q where m and q ar unknowns, æ represents the hours studied for the quiz and y the quiz grade. (4a, ) Show that there is no line y = mx + q that passes through P1 , P2 and P3 using an inconsister system of equations. Hint: Substitute the y and y values of P. P. P. in the line eguation and show that the 3x2 svstem with unkn

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

Consider the relation between hours of study and quiz grade for three different students.
(i) Student 1 did not spend any time and received 5 in the quiz. P = (0,5)
(ii) Student 2 spent an hour studying and received 5 in the quiz. P, = (1,5)
(iii) Student 3 spent two hours studying and received 8 in the quiz. P3 = (2,8).
We want to find a linear relation between hours of study and grade of the quiz Y = mx + q where m and q are our
unknowns, x represents the hours studied for the quiz and y the quiz grade.
(4a,
) Show that there is no line y = mx + q that passes through P1 , P2 and P3 using an inconsistent
system of equations.
Hint: Substitute the x and y values of P1, P2, P3 in the line equation and show that the 3x2 system with unknowns
m and q has no solutions.
(4b,
) Write the system of equations for part a) in matrix form AE = b where = (m, q)" .
(4c,
) Compute (AT A)-1

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Consider the relation between hours of study and quiz grade for three different students. (i) Student 1 did not spend any time and received 5 in the quiz. P¡ = (0, 5) (ii) Student 2 spent an hour studying and received 5 in the quiz. P2 = (1, 5) (iii) Student 3 spent two hours studying and received 8 in the quiz. P3 : (2, 8). %3| We want to find a linear relation between hours of study and grade of the quiz y = mx + q where m and q are our unknowns, x represents the hours studied for the quiz and y the quiz grade. (4а Show that there is no line y = mx + q that passes through P , P and P3 using an inconsistent system of equations. Hint: Substitute the x and y values of P, P, P3 in the line equation and show that the 3x2 system with unknowns m and g has no solutions. (4b Write the system of equations for part a) in matrix form Aš b where i = (m, q)" . (4c Compute (AT A)-1. (4d Compute i (AT A)-' A™ b and find m = x1 and q = x2. (4e Plot the line obtained by replacing m and q and the…
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