Consider the data set (3,1),(0,1),(4,q3). The corresponding regression line is given by y=1013x+713. Determine q3.
Antwoord 1 correct
Fout
Antwoord 2 optie
Such a q3 does not exist.
Antwoord 2 correct
Fout
Antwoord 3 optie
42326
Antwoord 3 correct
Fout
Antwoord 4 optie
5
Antwoord 4 correct
Correct
Antwoord 1 optie
None of the other answers are correct.
Antwoord 1 feedback
Wrong: The correct answer is among them.
Try again.
Antwoord 2 feedback
Wrong: Such a q3 must exist.
Try again.
Antwoord 3 feedback
Wrong: If w(a,b)=[1−(a⋅0+b)]2, then w′a(a,b)≠−2(1−b).
See Partial derivatives.
Antwoord 4 feedback
Correct: z(a,b)=[1−(a⋅3+b)]2+[1−(a⋅0+b)]2+[q3−(a⋅4+b)]2
The partial derivative with respect to a of z(a,b) is given by
z′a(a,b)=−6(1−3a−b)−8(q3−4a−b)=−6−8q3+50a+14b.
Hence, z′a(1013,713)=−6−8q3+50⋅1013+14⋅713=0, which gives q3=5.
Go on.