Comment the selection of independent variables. Can you see any serious problems? If you are not...
Comment the selection of independent variables. Can you see any serious problems? If you are not satisfied with the model, try to find solutions.
| Exp. | Income | GDP | Investments | Inflation | |
| Exp. | 1 | ||||
| Income | 0.9394 | 1 | |||
| GDP | 0.9171 | 0.9752 | 1 | ||
| Investments | 0.5721 | 0.4885 | 0.4297 | 1 | |
| Inflation | 0.9009 | 0.9603 | 0.9003 | 0.5542 | 1 |
Homework Answers
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Comment the selection of independent variables. Can you see any
serious problems? If you are not...
Assess the level of leadership ethics currently in place at CMC. Address any problems you see...
Assess the level of leadership ethics currently in place at CMC. Address any problems you see and propose potential solutions.
1. Choose a data set of your own:?Response or dependent variable (Y)?At least 3 or more...
1. Choose a data set of your own:?Response or dependent variable (Y)?At least 3 or more independent variables (X1, X2, X3, ... etc.) that you believe has an influence on Y.?At least 40 observations or data points?If there are categorical variables, model them appropriately2. Fit a multiple regression model. ?Interpret the model equation?Are all the chosen variables significant? Discuss.?Check for model assumptions and make appropriate comments.?How good is the model? Comment on R2 , R , se, F-value etc and...
* Problems: be sure to include any steps that support your answer for partial points. *...
* Problems: be sure to include any steps that support your answer for partial points. * When you draw a graph to show a model, be sure to label: i. the axes; ii, the curves: iii. the in values: iv. The direction curves shift and v. the terminal equilibrium values. 1. The Fed decides to reduce the discount rate. (13pts) 1) What would happen to the interest rate? Use a model to explain your answer. (5pts) 2) What kind of...
1. Let X1, X2,... be independent random variables each with the standard normal distribution, and for...
1. Let X1, X2,... be independent random variables each with the standard normal distribution, and for each n 0 let Sn 너 1 i. Use importance sampling to obtain good estimates for each of the following probabilities: (a) P[maxns 100 Sn > 10); and (b) P[maxns100 Sn > 30 HINTS: The basic identity of importance sampling implies that n100 where Po is the probability measure under which the random variables Xi, X2,... are independent normals with mean 0 amd variance...
1. Let Xi, X2,... be independent random variables each with the standard normal distribution, and for...
1. Let Xi, X2,... be independent random variables each with the standard normal distribution, and for each n 2 0 let Sn-1 Xi. Use importance sampling to obtain good estimates for each of the following probabilities: (a) Pfmaxn<100 Sn> 10; and (b) Pímaxns100 Sn > 30) HINTS: The basic identity of importance sampling implies that d.P n100 where Po is the probability measure under which the random variables Xi, X2,... are independent normals with mean 0 amd variance 1. The...
Dummy Variable Regression: Choose any metric variable as the dependent variable (you can use the ...
Dummy Variable Regression: Choose any metric variable as the
dependent variable (you can use the same one that you used in Part
A) and choose gender as an independent variable. Also choose one
more metric variable as an additional independent variable. Once
again, however, you must sort through the metric independent
variables until you find one that, along with gender, produces a
significant F-calc. Use alpha = .05 here as well. You
only need to report the model that produced...
As a general comment, remember that showing two random variables have the same CDFor PDF is...
As a general comment, remember that showing two random variables have the same CDFor PDF is sufficient for showing that they have the same distribution. a) First, let us see how to generate an exponential random variable with a uniform random vari- (b) Let M.N2 ~ y (0, î ), where Ni and N2 are independent. Prove that NỈ + N: ~ Expo( 1 /2). able. Let U1~Uniform(0, 1). Prove that-InU1Expo(1). Hint: You may use the fact that over a...
(25 points,) Let X and Y be two independent and identically distributed random variables that have exponential distribution with rates 1 respectively. Find the distribution of Note: you can give eith...
(25 points,) Let X and Y be two independent and identically distributed random variables that have exponential distribution with rates 1 respectively. Find the distribution of Note: you can give either cdf or pdf)
(25 points,) Let X and Y be two independent and identically distributed random variables that have exponential distribution with rates 1 respectively. Find the distribution of Note: you can give either cdf or pdf)
For this assignment I have to analyze the regression (relationship between 2 independent variables and 1...
For this assignment I have to analyze the regression (relationship between 2 independent variables and 1 dependent variable). Below is all of my data and values. I need help answering the questions that are at the bottom. Questions regarding the strength of the relationship Model: Median wage (y) = 40.3774 - 2.0614 * Population + 0.0284 * GDP Predictor Coefficient Estimate Standard Error t-statistic p-value Constant B0 40.3774 1.1045 36.558 0 Population B1 -2.0614 0.5221 -3.948 0.0003 GDP B2 0.0284...
Let X1,X2 be two independent exponential random variables with λ=1, compute the P(X1+X2<t) using the joint...
Let X1,X2 be two independent
exponential random variables with λ=1, compute the
P(X1+X2<t) using the joint density function. And let Z be gamma
random variable with parameters (2,1). Compute the probability that
P(Z < t). And what you can find by comparing P(X1+X2<t) and
P(Z < t)? And compare P(X1+X2+X3<t) Xi iid
(independent and identically distributed) ~Exp(1) and P(Z < t)
Z~Gamma(3,1) (You don’t have to compute)
(Hint: You can use the fact that Γ(2)=1,
Γ(3)=2)
Problem 2[10 points] Let...
* Problems: be sure to include any steps that support your answer for partial points. * When you draw a graph to show a model, be sure to label: i. the axes; ii, the curves: iii. the in values: iv. The direction curves shift and v. the terminal equilibrium values. 1. The Fed decides to reduce the discount rate. (13pts) 1) What would happen to the interest rate? Use a model to explain your answer. (5pts) 2) What kind of...
1. Let X1, X2,... be independent random variables each with the standard normal distribution, and for each n 0 let Sn 너 1 i. Use importance sampling to obtain good estimates for each of the following probabilities: (a) P[maxns 100 Sn > 10); and (b) P[maxns100 Sn > 30 HINTS: The basic identity of importance sampling implies that n100 where Po is the probability measure under which the random variables Xi, X2,... are independent normals with mean 0 amd variance...
1. Let Xi, X2,... be independent random variables each with the standard normal distribution, and for each n 2 0 let Sn-1 Xi. Use importance sampling to obtain good estimates for each of the following probabilities: (a) Pfmaxn<100 Sn> 10; and (b) Pímaxns100 Sn > 30) HINTS: The basic identity of importance sampling implies that d.P n100 where Po is the probability measure under which the random variables Xi, X2,... are independent normals with mean 0 amd variance 1. The...
Dummy Variable Regression: Choose any metric variable as the
dependent variable (you can use the same one that you used in Part
A) and choose gender as an independent variable. Also choose one
more metric variable as an additional independent variable. Once
again, however, you must sort through the metric independent
variables until you find one that, along with gender, produces a
significant F-calc. Use alpha = .05 here as well. You
only need to report the model that produced...
As a general comment, remember that showing two random variables have the same CDFor PDF is sufficient for showing that they have the same distribution. a) First, let us see how to generate an exponential random variable with a uniform random vari- (b) Let M.N2 ~ y (0, î ), where Ni and N2 are independent. Prove that NỈ + N: ~ Expo( 1 /2). able. Let U1~Uniform(0, 1). Prove that-InU1Expo(1). Hint: You may use the fact that over a...
(25 points,) Let X and Y be two independent and identically distributed random variables that have exponential distribution with rates 1 respectively. Find the distribution of Note: you can give either cdf or pdf)
(25 points,) Let X and Y be two independent and identically distributed random variables that have exponential distribution with rates 1 respectively. Find the distribution of Note: you can give either cdf or pdf)
Let X1,X2 be two independent
exponential random variables with λ=1, compute the
P(X1+X2<t) using the joint density function. And let Z be gamma
random variable with parameters (2,1). Compute the probability that
P(Z < t). And what you can find by comparing P(X1+X2<t) and
P(Z < t)? And compare P(X1+X2+X3<t) Xi iid
(independent and identically distributed) ~Exp(1) and P(Z < t)
Z~Gamma(3,1) (You don’t have to compute)
(Hint: You can use the fact that Γ(2)=1,
Γ(3)=2)
Problem 2[10 points] Let...
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