Question

We would like to test the accuracy of a no-change benchmark for output growth relative to a VAR model for the past 40 years. Below is the result of the test of equal predictive accuracy measured in terms of mean squared forecast error. What do you conclude, which model is better? Comment. Here the 'fe_diff' is defined as squared forecast errors implied by the no-change forecast minus the squared forecast errors implied by the VAR. reg = 1m(fe_diff ~ 1) summary(reg) Call: 1m formula = fe_diff ~ 1 Residuals: Min 1Q Median 3Q Max -5.7154 -0.2042 -0.0621 0.1989 5.0282 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 0.10293 0.08623 1.194 0.234 Residual standard error: 1.091 on 159 degrees of freedom

          We would like to test the accuracy of a no-change benchmark for output growth relative to a VAR model for the past 40 years. Below is the result of the test of equal predictive accuracy measured in terms of mean squared forecast error. What do you conclude, which model is better? Comment. Here the 'fe_diff' is defined as squared forecast errors implied by the no-change forecast minus the squared forecast errors implied by the VAR.

reg = 1m(fe_diff ~ 1)
summary(reg)

Call: 1m formula = fe_diff ~ 1
Residuals: Min 1Q Median 3Q Max 
-5.7154 -0.2042 -0.0621 0.1989 5.0282

Coefficients: Estimate Std. Error t value Pr(>|t|) 
(Intercept) 0.10293 0.08623 1.194 0.234

Residual standard error: 1.091 on 159 degrees of freedom
        
Show more…
we would like to test the accuracy of a no change benchmark for output growth relative to a var model for the past 40 years below is the result of the test of equal predictive accuracy measu 15341

Added by Sarah L.

Close

Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
AceChat toggle button
Close icon
Ace pointing down

Please give Ace some feedback

Your feedback will help us improve your experience

Thumb up icon Thumb down icon
Thanks for your feedback!
Profile picture
We would like to test the accuracy of a no-change benchmark for output growth relative to a VAR model for the past 40 years. Below is the result of the test of equal predictive accuracy measured in terms of mean squared forecast error. What do you conclude, which model is better? Comment. Here the 'fe_diff' is defined as squared forecast errors implied by the no-change forecast minus the squared forecast errors implied by the VAR. reg = 1m(fe_diff ~ 1) summary(reg) Call: 1m formula = fe_diff ~ 1 Residuals: Min 1Q Median 3Q Max -5.7154 -0.2042 -0.0621 0.1989 5.0282 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 0.10293 0.08623 1.194 0.234 Residual standard error: 1.091 on 159 degrees of freedom
Close icon
Play audio
Feedback
Powered by NumerAI
Ivan Kochetkov David Collins
Jennifer Stoner verified

Madhur L and 72 other subject Intro Stats / AP Statistics educators are ready to help you.

Ask a new question

*

Labs

-

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

*

Key Concepts

-
Key Concept
Premium Feature
Explore the core concept behind this problem.
Play button
Key Concept
Premium Feature
Explore the core concept behind this problem.
Your browser does not support the video tag.

*

Recommended Videos

-
the-regression-results-are-attached-residuals-min-1q-median-3q-max-048179-0-24662-000726-022012-051987-coefficients-estimate-std-error-value-prkiti-intercept-24-504e-01-1019e01-0044-0965202-72982

The regression results are attached. Residuals: Min 1Q Median 3Q Max -0.48179 -0.24662 -0.00726 0.22012 0.51987 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -4.504e-01 1.019e+01 -0.044 0.965202 AGST 6.012e-01 1.030e-01 5.836 1.27e-05 *** HarvestRain -3.958e-03 8.751e-04 -4.523 0.000233 *** WinterRain 1.043e-03 5.310e-04 1.963 0.064416 . Age 5.847e-04 7.900e-02 0.007 0.994172 FrancePop -4.953e-05 1.667e-04 -0.297 0.769578 --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 0.3019 on 19 degrees of freedom Multiple R-squared: 0.8294, Adjusted R-squared: 0.7845 F-statistic: 18.47 on 5 and 19 DF, p-value: 1.044e-06 Interpret the results.

Madhur L.

ols-regression-results-dep-_-variable-model-method-date-time-no-observations-residuals-hodel-covariance-type-mpg-ols-least-squares-wed-12-feb-2020-165129-r-squared-adj-r-squared-f-statistic-43744

OLS Regression Results Dep. Variable: mpg R-squared: 0.827 Model: OLS Adj. R-squared: 0.814 Method: Least Squares F-statistic: 64.36 Date: Wed, 12 Feb 2020 Prob (F-statistic): 5.33e-11 Time: 16:51:29 Log-Likelihood: -70.390 No. Observations: 30 AIC: 146.8 Df Residuals: 27 BIC: 151.0 Df Model: 2 Covariance Type: nonrobust coef std err t P>|t| [0.025 0.975] Intercept 37.3942 1.661 22.518 0.000 33.987 40.802 wt -3.9512 0.682 -5.796 0.000 -5.350 -2.552 hp -0.0307 0.010 -2.999 0.006 -0.052 -0.010 Omnibus: 4.039 Durbin-Watson: 1.819 Prob(Omnibus): 0.133 Jarque-Bera (JB): 2.994 Skew: 0.771 Prob(JB): 0.224 Kurtosis: 3.140 Cond. No. 565. Warnings: [1] Standard Errors assume that the covariance matrix of the errors is correctly specified.

Sri K.

the-model-output-is-shown-below-call-im-formula-dfsoral_fluency-dfsreading_tine-residuals-min-10-nedian-30-xa-192676-113875-06343-106530-221715-coefficients-estimate-sed-error-value-pr-i-int-33587

The model output is shown below: Call: lm(formula = df$oral_fluency ~ df$reading_time) Residuals: Min 1Q Median 3Q Max -19.2676 -11.3875 0.6343 10.6530 22.1715 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -21.6094 18.9685 -1.139 0.2752 df$reading_time 2.0408 0.9238 2.209 0.0457 * --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 14.49 on 13 degrees of freedom Multiple R-squared: 0.2729, Adjusted R-squared: 0.217 F-statistic: 4.88 on 1 and 13 DF, p-value: 0.04573 Use the information provided in the model output to calculate by hand the 95% confidence interval of 'b' the estimate of the predictor 'reading_time'. What is the lower bound of the 95% confidence interval of 'b'? Does this suggest that 'b' is significantly different from 0?

Adi S.


*

Recommended Textbooks

-
Elementary Statistics a Step by Step Approach

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition
achievement 1,270 solutions
The Practice of Statistics for AP

The Practice of Statistics for AP

Daren S. Starnes, Daniel S. Yates, David S. Moore 4th Edition
achievement 1,098 solutions
Introductory Statistics

Introductory Statistics

Barbara Illowsky, Susan Dean 1st Edition
achievement 1,395 solutions

*

Transcript

-
00:01 Hello student in the given question here.
00:03 We have given a recreation output and here we have to interpret the result.
00:09 So here we know that a coefficient of recreation model represents the relationship between dependent and independent variable.
00:21 Now, we know that lower p value suggest that result is statistically significant or there is significant relationship.
00:36 So here lower p value suggest that there is significant relationship now from the given result significant variables are agst and harvest rain.
00:55 So these two variables having lower p value.
00:59 So there is significant relation now here...
Need help? Use Ace
Ace is your personal tutor. It breaks down any question with clear steps so you can learn.
Start Using Ace
Ace is your personal tutor for learning
Step-by-step explanations
Instant summaries
Summarize YouTube videos
Understand textbook images or PDFs
Study tools like quizzes and flashcards
Listen to your notes as a podcast
Continue solving this problem
Create a free account to:
  • View full step-by-step solution
  • Ask follow-up questions with Ace AI
  • Save progress and study later
Continue Free
Join the community

18,000,000+

Students on Numerade


Trusted by students at 8,000+ universities

Numerade

Get step-by-step video solution
from top educators

Continue with Clever
or



By creating an account, you agree to the Terms of Service and Privacy Policy
Already have an account? Log In

A free answer
just for you

Watch the video solution with this free unlock.

Numerade

Log in to watch this video
...and 100,000,000 more!


EMAIL

PASSWORD

OR
Continue with Clever