quiz_06reg_linear

# quiz_06reg_linear - 1200 60 − = x y (B) 200 30 − = x y...

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06.03.1 Multiple-Choice Test Chapter 06.03 Linear Regression 1. Given ( ) ( ) ( ) , , ..., ,......... , , , 2 2 1 1 n n y x y x y x best fitting data to ( ) x f y = by least squares requires minimization of (A) ( ) [ ] = n i i i x f y 1 (B) ( ) = n i i i x f y 1 (C) ( ) ( ) 2 1 = n i i i x f y (D) [ ] n y y y y n i i n i i = = = 1 2 1 , 2. The following data x 1 20 30 40 y 1 400 800 1300 is regressed with least squares regression to x a a y 1 0 + = . The value of 1 a most nearly is (A) 27.480 (B) 28.956 (C) 32.625 (D) 40.000 3. The following data is regressed with least squares regression to x a y 1 = . The value of 1 a most nearly is (A) 27.480 (B) 28.956 (C) 32.625 (D) 40.000 x 1 20 30 40 y 1 400 800 1300

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06.03.2 Chapter 06.03 06.03.2 4. An instructor gives the same y vs. x data as given below to four students and asks them to regress the data with least squares regression to x a a y 1 0 + = . x 1 10 20 30 40 y 1 100 400 600 1200 They each come up with four different answers for the straight-line regression model. Only one is correct. The correct model is (A)
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Unformatted text preview: 1200 60 − = x y (B) 200 30 − = x y (C) x y 684 . 29 43 . 139 + − = (D) x y 782 . 22 1 + = 5. A torsion spring of a mousetrap is twisted through an angle of ° 180 . The torque vs. angle data is given below. Torsion, T (N-m) 0.110 0.189 0.230 0.250 Angle, θ (rad) 0.10 0.50 1.1 1.5 The relationship between the torque and the angle is 1 a a T + = . The amount of strain energy stored in the mousetrap spring in Joules is (A) 0.29872 (B) 0.41740 (C) 0.84208 (D) 1561.8 6. A scientist finds that regressing the y vs. x data given below to x a a y o 1 + = results in the coefficient of determination for the straight-line model, 2 r being zero. x 1 3 11 17 y 2 6 22 ? The missing value for y at 17 = x most nearly is (A) 4444 . 2 − (B) 2.000 (C) 6.889 (D) 34.00 For a complete solution, refer to the links at the end of the book....
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## This note was uploaded on 06/12/2011 for the course EML 3041 taught by Professor Kaw,a during the Spring '08 term at University of South Florida - Tampa.

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quiz_06reg_linear - 1200 60 − = x y (B) 200 30 − = x y...

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