Complete parts (a) through (h) for the data below 30 40 50 60 70 X 72 67 63 54 42 y a) Find the equation of the line containing the points (40,67) and (70,42) y x+ (Type integers or simplified fractions.) b) By hand, determine the least-squares regression line. c) Compute the sum of the squared residuals for the line found in part (a) d) Compute the sum of the squared residuals for the least-squares regression line found in part (b)

Elementary Linear Algebra (MindTap Course List)
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Author:Ron Larson
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Chapter2: Matrices
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Complete parts (a) through (h) for the data below
30
40
50
60
70
X
72
67
63
54
42
y
a)
Find the equation of the line containing the points (40,67) and (70,42)
y x+
(Type integers or simplified fractions.)
b) By hand, determine the least-squares regression line.
c) Compute the sum of the squared residuals for the line found in part (a)
d) Compute the sum of the squared residuals for the least-squares regression line found in part (b)
Transcribed Image Text:Complete parts (a) through (h) for the data below 30 40 50 60 70 X 72 67 63 54 42 y a) Find the equation of the line containing the points (40,67) and (70,42) y x+ (Type integers or simplified fractions.) b) By hand, determine the least-squares regression line. c) Compute the sum of the squared residuals for the line found in part (a) d) Compute the sum of the squared residuals for the least-squares regression line found in part (b)
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