...based on a linear relationship between the...
...L is a linear function of X,...
...therefore: As a linear regression, our goal...
...as in the linear regression framework, X...

...AND REGRESSION Simple Linear Regression-Cont’(Section 10.2, Page...
...of the simple linear regression equation is...
...in the simple linear regression equation: ^...
...estimate the simple linear regression equation for...

...a direct (positive) linear relationship between x...
...test for a linear relationship. Hypothesis: Test...
...113 114 Simple Linear Regression (Section 10.2,...
...called the simple linear regression equation and...

...simpler to solve non-linear equations Mathematical Tools:...

...(ODE) t ( Linear s ) )...
...other than unity Non-Linear or their derivatives...
...To solve a non-linear ODE, linearize around...
...Procedure for a linear ODE it using...
...= f ( non-linear t V )...
...Stirred Tank Reactor: Linear and dicult to...
...Stirred Tank Reactor: Linear ( (0) t...
...Stirred Tank Reactor: Linear ) , .....
...2 ,.. Generalized Linear Approximation from ¯x...
...¯x is a linear approximation n ization...
...= 0 : Linear Approximation An Example...
...Stirred Tank Reactor: Linear of the non-linear...
...Linear of the non-linear de ned by...
...Stirred Tank Reactor: Linear ¯ ( f...
...Stirred Tank Reactor: Linear ¯c A =...
...Stirred Tank Reactor: Linear f , ¯...
...Stirred Tank Reactor: Linear E T ¯...
...Stirred Tank Reactor: Linear + + k...
...? ¯c Ai linear and easy to...

...are represented by linear 1st Dynamic Response...

...The model is linear if the ratios...
...the model is linear. Else, it is...
...(a) Nonlinear (b) Linear if vx is...
...shut down) (c) Linear Problem 2.6 Total...
...a constant, a linear fit is best:...
...set of 3 linear equations gives C0...
...and sum 5 linear equations squared, and...

...of charges (say linear) we treat the...
...charge density. Continuous linear distribution of charges,...

...9 Linear Momentum and Collisions...
...TO QUESTIONS 9.1 Linear Momentum and Its...
...conserved. Q9.8 (a) Linear momentum is conserved...
...bomb. 251 252 Linear Momentum and Collisions...
...PROBLEMS Section 9.1 Linear Momentum and Its...
...307f HpxK 254 Linear Momentum and Collisions...
...kgms upward 256 Linear Momentum and Collisions...
...FIG. P9.16 258 Linear Momentum and Collisions...
...J J 260 Linear Momentum and Collisions...
...internal energy. 262 Linear Momentum and Collisions...
...was untruthful. 264 Linear Momentum and Collisions...
...=100. m 266 Linear Momentum and Collisions...
...??H K 268 Linear Momentum and Collisions...
...(d) The total linear momentum of the...
...oxidizer required. 270 Linear Momentum and Collisions...
...441. kg 272 Linear Momentum and Collisions...
...× s 274 Linear Momentum and Collisions...
...ms ms. 276 Linear Momentum and Collisions...