Transforming Numerical Methods Education for the STEM Undergraduate Torque (N-m)

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Penelope Shanon Fowler
5 years ago
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1 Regresso Trasformg Numercal Methods Educato for the STEM udergraduate Applcatos Mousetrap Car Torsoal Stffess of a Mousetrap Sprg 0.4 Torque (N-m T k 0 k1 θ θ (radas 1

2 Stress vs Stra a Composte Materal A Boe Sca 3.0E+09 Stress, σ (Pa.0E E E Stra, ε (m/m E Radato testy from Techtum-99m Truo-Hub Assembly

3 Thermal Expaso Coeffcet Chages wth Temperature? 7.00E-06 Thermal expaso coeffcet, α (// o F 6.00E E E E-06.00E-06 Pre-Requste Kowledge 1.00E Temperature, o F α a 0 a1t at Close to half of the scores a test gve to a class are above the A. average score B. meda score C. stadard devato D. mea score Gve y 1, y,.. y, the stadard devato s defed as y y / 1 y y / /( y y 1 1 /( y y 1 1 3

4 Lear Regresso Gve (x 1,y 1, (x,y,.. (x,y, best fttg data to y=f (x by least squares requres mmzato of A. y f B. C. D. x 1 1 y f x y f x 1 1 y y, y 1 y 0% The followg data The followg data x y s regressed wth least squares regresso to a straght le to gve y= x. The observed value of y at x=0 s x y s regressed wth least squares regresso to a straght le to gve y= x. The predcted value of y at x=0 s

5 The followg data x y s regressed wth least squares regresso to a straght le to gve y= x. The resdual of y at x=0 s Nolear Regresso Whe trasformg the data to fd the costats of the regresso model y=ae bx to best ft (x 1,y 1, (x,y,.. (x,y, the sum of the square of the resduals that s mmzed s bx y ae 1 l( y l a bx 1 y l a bx 1 l( y l a b l( x 1 0% Whe trasformg the data for stress-stra curve k1e for cocrete compresso, where s the stress ad s the stra, the model s rewrtte as A. l l k1 l k B. l l k1 k C. l l k 1 k D. l 1 l( k k k 0% 5

6 Adequacy of Lear Regresso Models The case where the coeffcet of determato for regresso of data pars to a straght le s oe f 33% 33% 33% A. oe of data pots fall exactly o the straght le B. the slope of the straght le s zero C. all the data pots fall o the straght le A. B. C. The case where the coeffcet of determato for regresso of data pars to a geeral straght le s zero f the straght le model A. has zero tercept B. has zero slope C. has egatve slope D. has equal value for tercept ad the slope 5% 5% 5% 5% The coeffcet of determato vares betwee A. -1 ad 1 B. 0 ad 1 C. - ad A. B. C. D. -1 ad 1 0 ad 1 - ad 6

7 The correlato coeffcet vares betwee A. -1 ad 1 B. 0 ad 1 C. - ad If the coeffcet of determato s 0.5, ad the straght le regresso model s y=-0.81x, the correlato coeffcet s A B C D. 0.5 E % 0% -1 ad 1 0 ad 1 - ad A. B. C. D. E. If the coeffcet of determato s 0.5, ad the straght le regresso model s y=-0.81x, the stregth of the correlato s A. Very strog B. Strog C. Moderate D. Weak E. Very Weak 0% 0% If the coeffcet of determato for a regresso le s 0.81, the the percetage amout of the orgal ucertaty the data explaed by the regresso model s A. 9 B. 19 C A. B. C. D. E. 7

8 The percetage of scaled resduals expected to be the doma [-,] for a adequate regresso model s A. 85 B. 90 C. 95 D %

Multiple Choice Test. Chapter Adequacy of Models for Regression

Multiple Choice Test. Chapter Adequacy of Models for Regression Multple Choce Test Chapter 06.0 Adequac of Models for Regresso. For a lear regresso model to be cosdered adequate, the percetage of scaled resduals that eed to be the rage [-,] s greater tha or equal to