Multiple Choice Test for Linear Regression

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MULTIPLE CHOICE TEST

LINEAR REGRESSION

(More on Linear Regression)

Pick the most appropriate answer.

1. Given best fitting data to by least squares requires minimization of

2. The following data

	1	20	30	40
	1	400	800	1300

is regressed with least squares regression to . The value of most nearly is

27.480

28.956

32.625

40.000

3. The following data

	1	20	30	40
	1	400	800	1300

is regressed with least squares regression to . The value of most nearly is

27.480

28.956

32.625

40.000

4. An instructor gives the samevsdata as given below to four students.

	1	10	20	30	40
	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

5. A torsion spring of a mousetrap is twisted through an angle of 180⁰. The torque vs angle data is given below.

	N-m	0.110	0.189	0.230	0.250
θ	rad	0.10	0.50	1.1	1.5

The amount of strain energy stored in the mousetrap spring in Joules is

0.2987

0.4174

0.8420

1562

6. A scientist finds that regressing the y vs x data given below to straight-line results in the coefficient of determination for the straight-line model,r² to be zero.

x	1	3	11	17
	2	6	22	?

The missing value for y at x=17 most nearly is

-2.444

2.000

6.889

34.00

Copyrights: University of South Florida, 4202 E Fowler Ave, Tampa, FL 33620-5350. All Rights Reserved. Questions, suggestions or comments, contact kaw@eng.usf.edu This material is based upon work supported by the National Science Foundation under Grant# 0126793, 0341468 and 0717624. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation. Other sponsors include Maple, MathCAD, USF, FAMU and MSOE.