please help me Finding a least-squares regression line is a very useful tool in statistics. Usually this is done using severalmessy formulas, but we can use what we learned about projections to find the answer much moreelegantly.A group of students took a quiz, and we want to use a sample of the results to predict other scores.Before the quiz, a sample of five students had missed 0,1,2, 3, and 6 classes. They scored, respectively,9, 8, 5, 6, and 2 points. Assume that there is an approximately linear relationship between thevariables.1. Let x be the number of classes a student misses (the explanatory variable) and y be the quizScore (the response variable.) Suppose all of these points lay on the same line, y = C + Dx.Write a system of (five) equations in the variables C and D. Then rewrite the system as a matrixequation.2. This system (clearly) has no solution. Find the least-squares solution by left-multiplying by thematrix A". Use the solution to write the line of best fit ŷ = C + Dx.(Notation note: in statistics, ŷ is used for this line that approximates the points.)3. Suppose another student with 3 absences takes the quiz. What score does your model predictthey will get?

Name: please help me Finding a least-squares regression line is a very usefu
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: please help me Finding a least-squares regression line is a very useful tool in statistics. Usually this is done using severalmessy formulas, but we can use what we learned about projections to find the answer much moreelegantly.A group of students t