The estimated regression equation was found to be y = 0.5x + 18.8 and the predicted values of (y; -ý;)². The sum of the squared errors will be SSE. X₁ Y₁ ŷ₁ 4 5 12 19 20.8 27 21.3 15 24.8 17 34 27.3 22 29 29.8 Error Y₁ - V₁ 1920.8-1.8 6.7 -0.8 Squared Error (y₁ -ŷ₁) ² (-1.8)2 = 3.24 SSE= 32.49 96.04 Σ(₁-9²

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 37E
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The estimated regression equation was found to be y = 0.5x + 18.8 and the predicted values of ý;
(y₁ - y)2. The sum of the squared errors will be SSE.
X₁
4
5
12
17
Y₁ ŷ₁
19 20.8
27 21.3
15 24.8
34 27.3
22 29 29.8
Error
Vì Ý,
19 20.8-1.8
-
6.7
-0.8
Squared Error
(y₁ -ŷ₁)²
(-1.8)² = 3.24
32.49
11
96.04
SSE = (y₁ - 9)²
Σ
Transcribed Image Text:The estimated regression equation was found to be y = 0.5x + 18.8 and the predicted values of ý; (y₁ - y)2. The sum of the squared errors will be SSE. X₁ 4 5 12 17 Y₁ ŷ₁ 19 20.8 27 21.3 15 24.8 34 27.3 22 29 29.8 Error Vì Ý, 19 20.8-1.8 - 6.7 -0.8 Squared Error (y₁ -ŷ₁)² (-1.8)² = 3.24 32.49 11 96.04 SSE = (y₁ - 9)² Σ
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