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Homeworks/hw1/HW1.m

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+%% Homework 1
+%% Dilek Sahin
+%% Q1
+X=[1,1.5,3,4,5,7,9,10];
+Y1=-2+.5*X;
+Y2=-2+0.5*(X.^2);
+hold on;
+plot (X, Y1,'b-');
+plot(X,Y2,'r--');
+xlabel ('X');
+ylabel ('Y1 and Y2');
+legend({'Y1 = -2+.5X','Y2 = -2+0.5X^2'},'Location','northwest');
+hold off;
+
+%% Q2
+X2=linspace(-10,20,200)';
+sumX2=sum(X2);
+%% Q3
+A=[2 4 6; 1 7 5; 3 12 4];
+b=[-2, 3, 10]';
+C=A'*b;
+D=inv(A.'*A)*b;
+E=sum(A.*repmat(b,1,3), 'all');
+F = A([1, 3:end], [1, 2]);
+x=linsolve(A,b);
+
+%% Q4
+B=blkdiag(A,A,A,A,A);
+
+%% Q5
+A= normrnd(10,5,[5,3]);
+A(A<10)=0;
+A(A>=10)=1;
+
+%% Q6
+hw1data = csvread('hw1data.csv');
+Data=array2table(hw1data, 'VariableNames',{'firmid','year','export','rd','prod','cap'});
+fitlm(Data,'prod~export+rd+cap')
+
+%point estimates and standard errors respectively
+%for Export
+%\beta_{1} = 0.12013 and SE = 0.0063242
+%for R&D
+%\beta_{2} = 0.13993 and SE = 0.0085393
+%for Capital Stock
+%\beta_{3} = 0.029492 and SE = 0.0017839

Homeworks/hw1/diaryHW1

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+%% Homework 1
+%% Dilek Sahin
+%% Q1
+X=[1,1.5,3,4,5,7,9,10];
+Y1=-2+.5*X;
+Y2=-2+0.5*(X.^2);
+hold on;
+plot (X, Y1,'b-');
+plot(X,Y2,'r--');
+xlabel ('X');
+ylabel ('Y1 and Y2');
+legend({'Y1 = -2+.5X','Y2 = -2+0.5X^2'},'Location','northwest');
+hold off;
+
+%% Q2
+X2=linspace(-10,20,200)';
+sumX2=sum(X2);
+%% Q3
+A=[2 4 6; 1 7 5; 3 12 4];
+b=[-2, 3, 10]';
+C=A'*b;
+D=inv(A.'*A)*b;
+E=sum(A.*repmat(b,1,3), 'all');
+F = A([1, 3:end], [1, 2]);
+x=linsolve(A,b);
+
+%% Q4
+B=blkdiag(A,A,A,A,A);
+
+%% Q5
+A= normrnd(10,5,[5,3]);
+A(A<10)=0;
+A(A>=10)=1;
+
+%% Q6
+hw1data = csvread('hw1data.csv');
+Data=array2table(hw1data, 'VariableNames',{'firmid','year','export','rd','prod','cap'});
+fitlm(Data,'prod~export+rd+cap')
+
+ans = 
+
+
+Linear regression model:
+    prod ~ 1 + export + rd + cap
+
+Estimated Coefficients:
+                   <strong>Estimate</strong>       <strong>SE</strong>        <strong>tStat</strong>       <strong>pValue</strong>  
+                   <strong>________</strong>    <strong>_________</strong>    <strong>______</strong>    <strong>__________</strong>
+
+    <strong>(Intercept)</strong>    0.081731     0.016729    4.8858     1.067e-06
+    <strong>export     </strong>     0.12013    0.0063242    18.996    2.1895e-77
+    <strong>rd         </strong>     0.13993    0.0085393    16.386    1.2832e-58
+    <strong>cap        </strong>    0.029492    0.0017839    16.532    1.3211e-59
+
+
+Number of observations: 4392, Error degrees of freedom: 4388
+Root Mean Squared Error: 0.179
+R-squared: 0.353,  Adjusted R-Squared 0.353
+F-statistic vs. constant model: 799, p-value = 0
+
+%point estimates and standard errors respectively
+%for Export
+%\beta_{1} = 0.12013 and SE = 0.0063242
+%for R&D
+%\beta_{2} = 0.13993 and SE = 0.0085393
+%for Capital Stock
+%\beta_{3} = 0.029492 and SE = 0.0017839
+diary off