Homework Answers
1. For the Auto-Correlation Graph
In general we are interested in checking the randomness in the data set.This randomness is or can be ascertained for a dataset by computing autocorrelations for data values at varying time lags. If the data is random, then such autocorrelations should be near zero for any and all time-lag separations. If non-random, then one or more of the autocorrelations will be significantly non-zero. Data that has significant autocorrelation is not random. However, data that does not show significant autocorrelation can still exhibit non-randomness in other ways. Autocorrelation is just one measure of randomness.
From the given data plot since we see that there are some significant autocorrelation points, so we conclude that the persistence of the annual stream flow is not random
2. For the autocorrelation plot with the systhetic data
We see that the synthetic data shows randomness.as there are no significant autocorrelation points when compared to the observed data which does not show randomness
3.For the Time Series plot
We see that the synthetic data compare to the observed data well when there is no autocorrelation. However, the synthetic data autocorrelation values tends to vary in the opposite direction when compared to the observed data.
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Plot the Autocorrelation function for the Blacksmith Fork River. What does this show about the persistence...
3. We obtain autocorrelation function of residuals of the five autoregressive models: AR(1), AR(2), AR(3), AR(4)...
3. We obtain autocorrelation function of residuals of the five autoregressive models: AR(1), AR(2), AR(3), AR(4) and AR(5). Choose a model that performs reasonably well, according to the plots of autocorrelation function. Explain the reason (no more than 20 words.) Autocorrelation function for AR(1) model Series ar1$residuals 1.0 RO 0.6 ACF 0.4 -0.2 0.0 0.2 0 5 10 15 Lag Autocorrelation function for AR(2) model Serles ar2$residuals 1.0 RO 0.6 ACF 0.4 -0.2 0.0 0.2 0 5 10 15 Lag...
3) Is the plot of nucleophile concentration vs. the rate of reaction (see below) a plot...
3) Is the plot of nucleophile concentration vs. the rate of reaction (see below) a plot of a Syl or S2 reaction? Please provide an explanation for your choice. (2 points) Kaved (s) 0.0 + 0.0 0.2 0.4 0.8 1.0 1.2 0.6 [Nuc-] (Molar) 4) What is the structure of the compound with the molecular formula C10H 202? (3 points) C10H12O2 TRANSMETTANCE 2000 HAVENUMBERI 2H, t ЗН,t 2H.t 2H.m | 3H,t | 2H, m | | 3H, m | '...
I'm trying to solve this differential equations by using matlab and I've got a plot from the code attached. But...
I'm
trying to solve this differential equations by using matlab and
I've got a plot from the code attached. But I wanna get a plot of
completely sinusoidal form. If I can magnify the plot and expand
x-axis, maybe we can get the sinusoidal form. So help me with this
problem by using matlab. Example is attached in below. One is the
plot from this code and another is example.
function second_order_ode2
t=[0:0.001:1];
initial_x=0;
initial_dxdt=0;
[t,x]=ode45(@rhs,t,[initial_x initial_dxdt]);
plot(t,x(:,1))
xlabel('t')
ylabel('x')...
I'm trying to solve this differential equations by using matlab and I've got a plot from the code attached. But...
I'm
trying to solve this differential equations by using matlab and
I've got a plot from the code attached. But I wanna get a plot of
completely sinusoidal form. If I can magnify the plot and expand
x-axis, maybe we can get the sinusoidal form. So help me with this
problem by using matlab. Example is attached in below. One is the
plot from this code and another is example.
function second_order_ode2
t=[0:0.001:1];
initial_x=0;
initial_dxdt=0;
[t,x]=ode45(@rhs,t,[initial_x initial_dxdt]);
plot(t,x(:,1))
xlabel('t')
ylabel('x')...
The question asks: what model would you use? Briefly describe why you would use this m...
The question asks: what model would you use? Briefly
describe why you would use this model. What concerns, if
any, would you have about the effectiveness of your model? Provide
your responses and your justification in the space
below.
Attached is the output of linear regression. my first thoughts
are that my other choices are higher order regression models. how
do I figure this out?
SUMMARY OUTPUT Regression Statistics Multiple R 0.87402183 R Sqae 0.76391416 Adjusted RS 0.7048927 Standard Erro...
Consider historical data showing that the average annual rate of return on the S&P 500 portfolio...
Consider historical data showing that the average annual rate of return on the S&P 500 portfolio over the past 85 years has averaged roughly 8% more than the Treasury bill return and that the S&P 500 standard deviation has been about 30% per year. Assume these values are representative of investors' expectations for future performance and that the current T-bill rate is 5%. Calculate the utility levels of each portfolio for an investor with A= 2. Assume the utility function...
Q.1 Chloroform (1) and n-heptane (2) forms a 2 phase systems for which the following plot...
Q.1 Chloroform (1) and n-heptane (2) forms a 2 phase systems for which the following plot is givern: 6.0 5.5 5.0 4.5 4.0 3.5 3.0 2.5 2.0 1.5 1.0 0.5 0.0 6.0 5.5 5.0 4.5 4.0 3.5 2.5- 2.0- 1.5 1.0 0.5 0.0 0.0 0.2 0.4 0.6 0.8 1.0 (a) Use Van Laar equation to calculate y?, y2 and P for x1-02. Given P1 at-44.51 kPa; P2 at-65.54kPa (b) Do the activity coefficients show positive or negative deviation from activity...
In lab, you propel a cart with four known forces while using an ultrasonic motion detector...
In lab, you propel a cart with four known forces while using an ultrasonic motion detector to measure the cart's acceleration. Your data are as follows: Force, F (N) Acceleration, a (m/s2) 0.25 0.50 0.75 1.00 0.5 0.8 1.3 1.8 FON) 1.0 0.8 F= (0.56 kg)a + 0.00 N 0.4 0.2 0.0 a (m/s) 0.0 0.2 0.4 0.6 0.8 1.0 2 4 16 1.8 2.0 Graphing either F versus a or a versus F gives a straight line. In the...
Please provide MATLAB code and plot, about system response. Will thumbs up. Thanks. Question 1: MATLAB contains a built-...
Please provide MATLAB code and plot, about system response. Will
thumbs up. Thanks.
Question 1: MATLAB contains a built-in function called conv which performs the convolution of two vectors: >> help conv conv Convolution and polynomial multiplication. C - conv(A, B) convolves vectors A and B. The resulting vector is length MAX ([LENGTH (A)+LENGTH (B)-1, LENGTH(A),LENGTH (B) 1) If A and B are vectors of polynomial coefficients, convolving them is equivalent to multiplying the two polynomials. Compute the system response...
6. Here is the graph of the probability density function (pdf) fx for a continuous random variabl...
6. Here is the graph of the probability density function (pdf) fx for a continuous random variable X 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 6 10 (a) Sketch the cumulative distribution function (cdf) of X. Label the vertical axis appropriately. (b) Which is larger, P(X 2) or P(X 6)? Explain how you know c) Which is larger, P(1.999 X 2.001) or P(5.999 s X .00)? Explain how you know (d) Which is larger, P(1s X S3) or P(5...
3. We obtain autocorrelation function of residuals of the five autoregressive models: AR(1), AR(2), AR(3), AR(4) and AR(5). Choose a model that performs reasonably well, according to the plots of autocorrelation function. Explain the reason (no more than 20 words.) Autocorrelation function for AR(1) model Series ar1$residuals 1.0 RO 0.6 ACF 0.4 -0.2 0.0 0.2 0 5 10 15 Lag Autocorrelation function for AR(2) model Serles ar2$residuals 1.0 RO 0.6 ACF 0.4 -0.2 0.0 0.2 0 5 10 15 Lag...
3) Is the plot of nucleophile concentration vs. the rate of reaction (see below) a plot of a Syl or S2 reaction? Please provide an explanation for your choice. (2 points) Kaved (s) 0.0 + 0.0 0.2 0.4 0.8 1.0 1.2 0.6 [Nuc-] (Molar) 4) What is the structure of the compound with the molecular formula C10H 202? (3 points) C10H12O2 TRANSMETTANCE 2000 HAVENUMBERI 2H, t ЗН,t 2H.t 2H.m | 3H,t | 2H, m | | 3H, m | '...
I'm
trying to solve this differential equations by using matlab and
I've got a plot from the code attached. But I wanna get a plot of
completely sinusoidal form. If I can magnify the plot and expand
x-axis, maybe we can get the sinusoidal form. So help me with this
problem by using matlab. Example is attached in below. One is the
plot from this code and another is example.
function second_order_ode2
t=[0:0.001:1];
initial_x=0;
initial_dxdt=0;
[t,x]=ode45(@rhs,t,[initial_x initial_dxdt]);
plot(t,x(:,1))
xlabel('t')
ylabel('x')...
I'm
trying to solve this differential equations by using matlab and
I've got a plot from the code attached. But I wanna get a plot of
completely sinusoidal form. If I can magnify the plot and expand
x-axis, maybe we can get the sinusoidal form. So help me with this
problem by using matlab. Example is attached in below. One is the
plot from this code and another is example.
function second_order_ode2
t=[0:0.001:1];
initial_x=0;
initial_dxdt=0;
[t,x]=ode45(@rhs,t,[initial_x initial_dxdt]);
plot(t,x(:,1))
xlabel('t')
ylabel('x')...
The question asks: what model would you use? Briefly
describe why you would use this model. What concerns, if
any, would you have about the effectiveness of your model? Provide
your responses and your justification in the space
below.
Attached is the output of linear regression. my first thoughts
are that my other choices are higher order regression models. how
do I figure this out?
SUMMARY OUTPUT Regression Statistics Multiple R 0.87402183 R Sqae 0.76391416 Adjusted RS 0.7048927 Standard Erro...
Consider historical data showing that the average annual rate of return on the S&P 500 portfolio over the past 85 years has averaged roughly 8% more than the Treasury bill return and that the S&P 500 standard deviation has been about 30% per year. Assume these values are representative of investors' expectations for future performance and that the current T-bill rate is 5%. Calculate the utility levels of each portfolio for an investor with A= 2. Assume the utility function...
Q.1 Chloroform (1) and n-heptane (2) forms a 2 phase systems for which the following plot is givern: 6.0 5.5 5.0 4.5 4.0 3.5 3.0 2.5 2.0 1.5 1.0 0.5 0.0 6.0 5.5 5.0 4.5 4.0 3.5 2.5- 2.0- 1.5 1.0 0.5 0.0 0.0 0.2 0.4 0.6 0.8 1.0 (a) Use Van Laar equation to calculate y?, y2 and P for x1-02. Given P1 at-44.51 kPa; P2 at-65.54kPa (b) Do the activity coefficients show positive or negative deviation from activity...
In lab, you propel a cart with four known forces while using an ultrasonic motion detector to measure the cart's acceleration. Your data are as follows: Force, F (N) Acceleration, a (m/s2) 0.25 0.50 0.75 1.00 0.5 0.8 1.3 1.8 FON) 1.0 0.8 F= (0.56 kg)a + 0.00 N 0.4 0.2 0.0 a (m/s) 0.0 0.2 0.4 0.6 0.8 1.0 2 4 16 1.8 2.0 Graphing either F versus a or a versus F gives a straight line. In the...
Please provide MATLAB code and plot, about system response. Will
thumbs up. Thanks.
Question 1: MATLAB contains a built-in function called conv which performs the convolution of two vectors: >> help conv conv Convolution and polynomial multiplication. C - conv(A, B) convolves vectors A and B. The resulting vector is length MAX ([LENGTH (A)+LENGTH (B)-1, LENGTH(A),LENGTH (B) 1) If A and B are vectors of polynomial coefficients, convolving them is equivalent to multiplying the two polynomials. Compute the system response...
6. Here is the graph of the probability density function (pdf) fx for a continuous random variable X 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 6 10 (a) Sketch the cumulative distribution function (cdf) of X. Label the vertical axis appropriately. (b) Which is larger, P(X 2) or P(X 6)? Explain how you know c) Which is larger, P(1.999 X 2.001) or P(5.999 s X .00)? Explain how you know (d) Which is larger, P(1s X S3) or P(5...
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