Question (1 point) Use a least squares approximation to find the best linear fit (i.e., the best line), L(t) = C + Dt , that is closest, in the sense of least squares, to passing through the through the following data points: (t1,bı) = (-1,-10), (t2, bz) = (0,–7), (t3, b3) = (1,2), (t4, b4) = (2,7). What are the y-intercept C and the slope D of this line?

G1AHZT The Asker · Precalculus

Transcribed Image Text: (1 point) Use a least squares approximation to find the best linear fit (i.e., the best line), L(t) = C + Dt , that is closest, in the sense of least squares, to passing through the through the following data points: (t1,bı) = (-1,-10), (t2, bz) = (0,–7), (t3, b3) = (1,2), (t4, b4) = (2,7). What are the y-intercept C and the slope D of this line?
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Transcribed Image Text: (1 point) Use a least squares approximation to find the best linear fit (i.e., the best line), L(t) = C + Dt , that is closest, in the sense of least squares, to passing through the through the following data points: (t1,bı) = (-1,-10), (t2, bz) = (0,–7), (t3, b3) = (1,2), (t4, b4) = (2,7). What are the y-intercept C and the slope D of this line?
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MKKITL

Ans: By ||_(re) gixen points. (t_(1),b_(1))=(-1,-10){:[(t_(2),b_(2))=(0","-7)],[(t_(3),b_(3))=(1","2)],[(t_(4),b_(4))=(2","7)]:}Hre data set x=-1,0,1,2& The data set Y=-10,-7,2,7.EE=" slope "=((sum y)(sumx^(2))-(sum x)(sum xy))/(n(sumx^(2))-(sum x)^(2))Now, Sigma Y=-10-7+2+7=-8quad,Sigma X=-1+0+1+2=2{:[sumx^(2)=(-1)^(2)+(0)^(2)+(1)^(2)+(2)^( ... See the full answer