A Set of Data Points and the Equations of Two $\sum \mathrm { e } ^ { 2 }$

Multiple Choice

A set of data points and the equations of two lines are given. For each line, determine $\sum \mathrm { e } ^ { 2 }$ . Then, determine which line fits the set of data points better, according to the least-squares criterion.
- $\begin{array}{c|ccccc}\mathrm{x} & 0 & 1 & 3 & 3 & 5 \\\hline \mathrm{y} & 7 & 6 & 5 & 4 & 2\end{array}$


Line A: $\mathrm { y } = 7.5 - 0.9 \mathrm { x }$
Line $B : y = 8.0 - 1.1 \mathrm { x }$

A)
Line A: $\sum \mathrm { e } ^ { 2 } = 2.29$
Line $B : \sum \mathrm { e } ^ { 2 } = 2.64$
Line $B$ fits the set of data points better.

B) Line A: $\sum \mathrm { e } ^ { 2 } = 0.87$
Line $B : \sum \mathrm { e } ^ { 2 } = 0.53$
Line $B$ fits the set of data points better.

C) Line A: $\sum \mathrm { e } ^ { 2 } = 2.29$
Line $\mathrm { B } : \sum \mathrm { e } ^ { 2 } = 2.64$
Line A fits the set of data points better.

D) Line $\mathrm { A } : \sum \mathrm { e } ^ { 2 } = 3.12$
Line B: $\sum \mathrm { e } ^ { 2 } = 3.49$
Line $B$ fits the set of data points better.