yi 1 3 3 1 4 Ex Eê = Ee = Exê; = Σχέ %3D %3D %3D %3D (e) On graph paper, plot the data points and sketch the fitted regression line Vi = bị + b2xj. (f) On the sketch in part (e), locate the point of the means (x, y). Does your fitted line pass through that point? If not, go back to the drawing board, literally. (g) Show that for these numerical values y= b + bzx. (h) Show that for these numerical values y = y, where ỹ = Eỳ;/N. (i) Compute ở. (j) Compute var(b2). %3D 2.

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Chapter1: Starting With Matlab
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yi
1
2
3
3
1
4
Ey =
Σ
E =
Ex,ê; =
%3D
%3D
(e) On graph paper, plot the data points and sketch the fitted regression line
ŷi = b + b2x.
(f) On the sketch in part (e), locate the point of the means (x, F). Does your fitted line
pass through that point? If not, go back to the drawing board, literally.
(g) Show that for these numerical values y b + bx.
(h) Show that for these numerical values y y, where y Ey/N.
(i) Compute ở.
(j) Compute var(b2).
Transcribed Image Text:yi 1 2 3 3 1 4 Ey = Σ E = Ex,ê; = %3D %3D (e) On graph paper, plot the data points and sketch the fitted regression line ŷi = b + b2x. (f) On the sketch in part (e), locate the point of the means (x, F). Does your fitted line pass through that point? If not, go back to the drawing board, literally. (g) Show that for these numerical values y b + bx. (h) Show that for these numerical values y y, where y Ey/N. (i) Compute ở. (j) Compute var(b2).
(x - x)?
y - y
(x - x) (y - y)
1
3
1
4
Ex =
Ey, =
E(x - x) =
E(x; – x)?
E(y, - y) =
E(x; - x)(y - y) =
%3D
%3D
entries in
(b) Cteuend usng (2,7) and
(c) Compute E-1x7, E-1xyi. Using these numerical values, show that
Etale theirterpretation.
E(x; - x)? = Ex - Nx and (x; - x)(y-y) = Ex,y; - Nxy
(d) Use the least squares estimates from part (b) to compute the fitted values of y, and
complete the remainder of the table below. Put the sums in the last row.
2.
3.
Transcribed Image Text:(x - x)? y - y (x - x) (y - y) 1 3 1 4 Ex = Ey, = E(x - x) = E(x; – x)? E(y, - y) = E(x; - x)(y - y) = %3D %3D entries in (b) Cteuend usng (2,7) and (c) Compute E-1x7, E-1xyi. Using these numerical values, show that Etale theirterpretation. E(x; - x)? = Ex - Nx and (x; - x)(y-y) = Ex,y; - Nxy (d) Use the least squares estimates from part (b) to compute the fitted values of y, and complete the remainder of the table below. Put the sums in the last row. 2. 3.
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