Consider the following sample data a Construct a scatterplot for the data b It is possible to find many lines for which 1y yn2 0 For this reason, the criterion 1y yn2 0 is not used to identify the best fitting straight line Find two lines that have 1y yn2 0 c Find the least squares line d Compare the value of SSE for the least squares line with that of the two lines you found in part b What principle of least squares is demonstrated by this comparison y x 55 1 1 33 3

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Question: Consider the following sample data: a. Construct a scatterplot for the data. b. It is possible to find many lines for which 1y - yn2

Consider the following sample data: y x 55 1 1 33 3

a. Construct a scatterplot for the data.

b. It is possible to find many lines for which Σ1y - yn2 = 0. For this reason, the criterion Σ1y - yn2 = 0 is not used to identify the “best-fitting”
straight line. Find two lines that have Σ1y - yn2 = 0.

c. Find the least squares line.

d. Compare the value of SSE for the least squares line with that of the two lines you found in part

b. What principle of least squares is demonstrated by this comparison?

y x 55 1 1 33 3

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