Question

In: Statistics and Probability

Identify and interpret the smallest positive residual. Provide the complete list of residuals. X Y 1870...

Identify and interpret the smallest positive residual. Provide the complete list of residuals.

X Y
1870 3.38
1330 1.16
1760 1.58
1520 2.65
1300 1.98
1520 2.39
1640 2.49
1490 2.81
1300 2.95
1360 1.69
1940 3.49
1730 2.8
1790 2.95
1780 3.8
1730 2.64
1380 2.36
1580 3.1
1900 1.96
1640 3.08
1540 2.24
1350 2.59
1380 2.43
1780 1.95
1700 2.07
1610 2.34
1720 3.59
2070 3.59
1210 2.12
1720 2.48
1510 2.37
1790 2.1
2100 2.55
1690 3.01
1490 2.67
1760 1.87
1540 2.21
1810 2.37
1430 3.37
1540 1.84
1270 2.96

Solutions

Expert Solution

Ans:

Regression equation:

y'=0.0008x+1.2865

X Y Y' residual=(y-y')
1870 3.38 2.7825 0.5975
1330 1.16 2.3505 -1.1905
1760 1.58 2.6945 -1.1145
1520 2.65 2.5025 0.1475
1300 1.98 2.3265 -0.3465
1520 2.39 2.5025 -0.1125
1640 2.49 2.5985 -0.1085
1490 2.81 2.4785 0.3315
1300 2.95 2.3265 0.6235
1360 1.69 2.3745 -0.6845
1940 3.49 2.8385 0.6515
1730 2.8 2.6705 0.1295
1790 2.95 2.7185 0.2315
1780 3.8 2.7105 1.0895
1730 2.64 2.6705 -0.0305
1380 2.36 2.3905 -0.0305
1580 3.1 2.5505 0.5495
1900 1.96 2.8065 -0.8465
1640 3.08 2.5985 0.4815
1540 2.24 2.5185 -0.2785
1350 2.59 2.3665 0.2235
1380 2.43 2.3905 0.0395
1780 1.95 2.7105 -0.7605
1700 2.07 2.6465 -0.5765
1610 2.34 2.5745 -0.2345
1720 3.59 2.6625 0.9275
2070 3.59 2.9425 0.6475
1210 2.12 2.2545 -0.1345
1720 2.48 2.6625 -0.1825
1510 2.37 2.4945 -0.1245
1790 2.1 2.7185 -0.6185
2100 2.55 2.9665 -0.4165
1690 3.01 2.6385 0.3715
1490 2.67 2.4785 0.1915
1760 1.87 2.6945 -0.8245
1540 2.21 2.5185 -0.3085
1810 2.37 2.7345 -0.3645
1430 3.37 2.4305 0.9395
1540 1.84 2.5185 -0.6785
1270 2.96 2.3025 0.6575

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