You have the following data: Student A took 2 courses in the Fall semester. His previous CGPA was 3.2. He received GPA 3.5 in the Fall semester. Student B took 5 courses in the Fall semester. Her...


You have the following data:<br>Student A took 2 courses in the Fall semester. His previous CGPA was 3.2. He received GPA 3.5 in the Fall semester.<br>Student B took 5 courses in the Fall semester. Her previous CGPA was 3.9. She received GPA 3.6 in the Fall semester.<br>Student C took 4 courses in the Fall semester. His previous CGPA was 3.6. He received GPA 3.4 in the Fall semester.<br>Using this data, we'll try to build a model using Least Square approximation, that can predict the CGPA of a student in the Fall semester given the number<br>of courses s/he took in Fall, and his/her previous CGPA.<br>(In real life, we'd use many more parameters, but for the sake of the quiz, we are keeping things simple.)<br>The model is as follows -<br>wi × (number of cour ses) + wz × (previouos CGPA) = GPA in Fall<br>Find the values of w1, and wy using Least Square approximation.<br>(Round off up to 3 decimal points)<br>1(a) wl is equal to ?<br>1(b) w2 is equal to ?<br>1(c) If a student took 4 courses in Fall, and his previous CGPA was 3.7,<br>what would be his FALL GPA according to this model?<br>1(d) What is the value of the Least Squared Error e of this approximation model?<br>

Extracted text: You have the following data: Student A took 2 courses in the Fall semester. His previous CGPA was 3.2. He received GPA 3.5 in the Fall semester. Student B took 5 courses in the Fall semester. Her previous CGPA was 3.9. She received GPA 3.6 in the Fall semester. Student C took 4 courses in the Fall semester. His previous CGPA was 3.6. He received GPA 3.4 in the Fall semester. Using this data, we'll try to build a model using Least Square approximation, that can predict the CGPA of a student in the Fall semester given the number of courses s/he took in Fall, and his/her previous CGPA. (In real life, we'd use many more parameters, but for the sake of the quiz, we are keeping things simple.) The model is as follows - wi × (number of cour ses) + wz × (previouos CGPA) = GPA in Fall Find the values of w1, and wy using Least Square approximation. (Round off up to 3 decimal points) 1(a) wl is equal to ? 1(b) w2 is equal to ? 1(c) If a student took 4 courses in Fall, and his previous CGPA was 3.7, what would be his FALL GPA according to this model? 1(d) What is the value of the Least Squared Error e of this approximation model?

Jun 04, 2022
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