4
Umm, you're question seems to have been a bit garbled. If the question was meant to be: Is the LCM of a single number the number itself? In that case the answer is...N/A... LCM (Least Common Multiple) MUST be at least two numbers. Otherwise "common" has no meaning in the title and the least multiple of any number would be 1 x0 =1, x1 =x, etc...However, if the question was meant to be something like: If a number is a multiple of another number, is their LCM the larger number? In that case, yes.P.S. "Is the smallest lcm" is redundant. Smallest and least are identical in this situation.
false
Suppose that you have simple two variable model: Y=b0+b1X1+e The least squares estimator for the slope coefficient, b1 can be obtained with b1=cov(X1,Y)/var(X1) the intercept term can be calculated from the means of X1 and Y b0=mean(Y)-b1*mean(X1) In a larger model, Y=b0+b1X1+b2X2+e the estimator for b1 can be found with b1=(cov(X1,Y)var(X2)-cov(X2,Y)cov(X1,X2))/(var(X1)var(X2)-cov(X1,X2)2) to find b2, simply swap the X1 and X2 terms in the above to get b2=(cov(X2,Y)var(X1)-cov(X1,Y)cov(X1,X2))/(var(X1)var(X2)-cov(X1,X2)2) Find the intercept with b0=mean(Y)-b1*mean(X1)-b2*mean(X2) Beyond two regressors, it just gets ugly.
shut up and do your hw
Not sure this question is stated correctly. Answering logically, the LCM of 12 (3x4) and 24 (12x2) is 24. This is because 12(x2=24) and 24(x1=24) are both factors of 24. Altering the question slightly, the least common multiple of 2, 3, 4, and 12 is 12. This is because 2(x6=12), 3(x4=12), 4(x3=12), and 12(x1=12) are all factors of 12.
it equals x1 it equals x1
4
Umm, you're question seems to have been a bit garbled. If the question was meant to be: Is the LCM of a single number the number itself? In that case the answer is...N/A... LCM (Least Common Multiple) MUST be at least two numbers. Otherwise "common" has no meaning in the title and the least multiple of any number would be 1 x0 =1, x1 =x, etc...However, if the question was meant to be something like: If a number is a multiple of another number, is their LCM the larger number? In that case, yes.P.S. "Is the smallest lcm" is redundant. Smallest and least are identical in this situation.
false
3
2x2+7/x1
minimize Z=-X1+2X2=
A GUI size has to be at least X1 Y1
Oh honey, you've got yourself a classic case of finding the average of two points in a coordinate plane. All you need to do is add the x-coordinates (x1 + x2) and divide by 2 to get the x-coordinate of the midpoint. Then do the same for the y-coordinates (y1 + y2), divide by 2, and voila, you've got the y-coordinate of the midpoint. Easy peasy lemon squeezy!
It is false-apex
Suppose that you have simple two variable model: Y=b0+b1X1+e The least squares estimator for the slope coefficient, b1 can be obtained with b1=cov(X1,Y)/var(X1) the intercept term can be calculated from the means of X1 and Y b0=mean(Y)-b1*mean(X1) In a larger model, Y=b0+b1X1+b2X2+e the estimator for b1 can be found with b1=(cov(X1,Y)var(X2)-cov(X2,Y)cov(X1,X2))/(var(X1)var(X2)-cov(X1,X2)2) to find b2, simply swap the X1 and X2 terms in the above to get b2=(cov(X2,Y)var(X1)-cov(X1,Y)cov(X1,X2))/(var(X1)var(X2)-cov(X1,X2)2) Find the intercept with b0=mean(Y)-b1*mean(X1)-b2*mean(X2) Beyond two regressors, it just gets ugly.