Which of the following statements is true of hypothesis testing? a. A restricted model will always have fewer parameters...
Which of the following statements is true of hypothesis testing?
a. A restricted model will always have fewer parameters than its unrestricted model.
b. A test of single restriction is also referred to as a joint hypotheses test.
c. The t test can be used to test multiple linear restrictions.
d. OLS estimates maximize the sum of squared residuals.
Homework Answers
Answer : the answer is option a.
In case of hypothesis testing the restricted model always carry fewer parameters in compared to the unrestricted model. Therefore, option a is correct.
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Which of the following statements is true of hypothesis testing? a. A restricted model will always have fewer parameters...
Which of the following statements is true? (a) If the calculated value of F statistic is...
Which of the following statements is true? (a) If the calculated value of F statistic is higher than the critical value, we reject the alternative hypothesis in favor of the null hypothesis. (b) The F statistic is always nonnegative as SSR, is never smaller than SSRur. (C) Degrees of freedom of a restricted model is always less than the de- grees of freedom of an unre- stricted model. (d) The F statistic is more flexible than the t statistic to...
3. In the multiple regression model shown in the previous question, which one of the following st...
3. In the multiple regression model shown in the previous question, which one of the following statements is incorrect: (b) The sum of squared residuals is the square of the length of the vector ü (c) The residual vector is orthogonal to each of the columns of X (d) The square of the length of y is equal to the square of the length of y plus the square of the length of û by the Pythagoras theorem In all...
Need help with stats true or false questions Decide (with short explanations) whether the following statements are true or false a) We consider the model y-Ao +A(z) +E. Let (-0.01, 1.5) be a 95% con...
Need help with stats true or false questions
Decide (with short explanations) whether the following statements are true or false a) We consider the model y-Ao +A(z) +E. Let (-0.01, 1.5) be a 95% confidence interval for A In this case, a t-test with significance level 1% rejects the null hypothesis Ho : A-0 against a two sided alternative. b) Complicated models with a lot of parameters are better for prediction then simple models with just a few parameters c)...
6. Which of the following statements about hypothesis testing are true? • A type I error...
6. Which of the following statements about hypothesis testing are true? • A type I error occurs if H, is rejected when it is true. • A type II error occurs if He is rejected when it is true. • The power of a test is the probability of failing to reject H, when it is false.
6. Which of the following statements about hypothesis testing are true? • A type I error...
6. Which of the following statements about hypothesis testing are true? • A type I error occurs if His rejected when it is true. • A type II error occurs if H, is reject ed when it is true, • The power of a test is the probability of failing to reject H, when it is false,
1. In hypothesis testing, which of the following statements is/are true? The test statistic can be...
1. In hypothesis testing, which of the following statements is/are true? The test statistic can be smaller than 1.0. II. The p-value can never be larger than 1.0. II. The “p" in p-value stands for “practical.” O I, II and III are all true O ll only O I only Ill only O I and II are both true
Which of the following statements about hypothesis testing are true? - A type 1 error occurs...
Which of the following statements about hypothesis testing are
true?
- A type 1 error occurs if
is rejected when it is true
- A type 2 error occurs if
is rejected when it is true
- The power of a test is probability of failing to reject
when it is false
We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
Question 2: Hypothesis testing (30 pts) Consider the following simple linear regression model with E[G-0 and...
Question 2: Hypothesis testing (30 pts) Consider the following simple linear regression model with E[G-0 and var(G)-σ2. The output of linear where €1, €2, . . . ,en regression from R takes the form are i.i.d. errors Cal1: lm(formula y ~ x + 1) Residuals: Min 1Q Median 3Q Max 2.0606-0.3287-0.1148 0.5902 1.2809 Coefficients: Estimate Std. Error t value Prlt (Intercept) 0.507932 0.340896 1.49 0.147 0.049656 0.003455 14.37 1.89e-14 Signif. codes: 0.0010.010.05 .'0.1''1 Residual standard error: 0.7911 on 28 degrees...
2. Multiple restriction test You have just been hired at the Center for Disease Control in...
2. Multiple restriction test You have just been hired at the Center for Disease Control in Atlanta as an econometrician specializing in quantitative epidemiological studies. Anthony Fauci, you like to call him Tony, just entered the room with your first assignment. He wants to look as the relevant factors associated with the US mortality rate. He asks you to estimate the following model. Mortality Rate = a + B,Income + B,Poverty; + B, Proportion HS; + B. Proportion College +...
Decide (with short explanations) whether the following statements are true or false. e) In a simple linear regression model with explanatory variable x and outcome variable y, we have these summary s...
Decide (with short explanations) whether the following
statements are true or false.
e) In a simple linear regression model with explanatory variable x and outcome variable y, we have these summary statisties z-10, s/-3 sy-5 and у-20. For a new data point with x = 13, it is possible that the predicted value is y = 26. f A standard multiple regression model with continuous predictors and r2, a categorical predictor T with four values, an interaction between a and...
Which of the following statements is true? (a) If the calculated value of F statistic is higher than the critical value, we reject the alternative hypothesis in favor of the null hypothesis. (b) The F statistic is always nonnegative as SSR, is never smaller than SSRur. (C) Degrees of freedom of a restricted model is always less than the de- grees of freedom of an unre- stricted model. (d) The F statistic is more flexible than the t statistic to...
3. In the multiple regression model shown in the previous question, which one of the following statements is incorrect: (b) The sum of squared residuals is the square of the length of the vector ü (c) The residual vector is orthogonal to each of the columns of X (d) The square of the length of y is equal to the square of the length of y plus the square of the length of û by the Pythagoras theorem In all...
Need help with stats true or false questions
Decide (with short explanations) whether the following statements are true or false a) We consider the model y-Ao +A(z) +E. Let (-0.01, 1.5) be a 95% confidence interval for A In this case, a t-test with significance level 1% rejects the null hypothesis Ho : A-0 against a two sided alternative. b) Complicated models with a lot of parameters are better for prediction then simple models with just a few parameters c)...
6. Which of the following statements about hypothesis testing are true? • A type I error occurs if H, is rejected when it is true. • A type II error occurs if He is rejected when it is true. • The power of a test is the probability of failing to reject H, when it is false.
6. Which of the following statements about hypothesis testing are true? • A type I error occurs if His rejected when it is true. • A type II error occurs if H, is reject ed when it is true, • The power of a test is the probability of failing to reject H, when it is false,
1. In hypothesis testing, which of the following statements is/are true? The test statistic can be smaller than 1.0. II. The p-value can never be larger than 1.0. II. The “p" in p-value stands for “practical.” O I, II and III are all true O ll only O I only Ill only O I and II are both true
Which of the following statements about hypothesis testing are
true?
- A type 1 error occurs if
is rejected when it is true
- A type 2 error occurs if
is rejected when it is true
- The power of a test is probability of failing to reject
when it is false
We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
Question 2: Hypothesis testing (30 pts) Consider the following simple linear regression model with E[G-0 and var(G)-σ2. The output of linear where €1, €2, . . . ,en regression from R takes the form are i.i.d. errors Cal1: lm(formula y ~ x + 1) Residuals: Min 1Q Median 3Q Max 2.0606-0.3287-0.1148 0.5902 1.2809 Coefficients: Estimate Std. Error t value Prlt (Intercept) 0.507932 0.340896 1.49 0.147 0.049656 0.003455 14.37 1.89e-14 Signif. codes: 0.0010.010.05 .'0.1''1 Residual standard error: 0.7911 on 28 degrees...
2. Multiple restriction test You have just been hired at the Center for Disease Control in Atlanta as an econometrician specializing in quantitative epidemiological studies. Anthony Fauci, you like to call him Tony, just entered the room with your first assignment. He wants to look as the relevant factors associated with the US mortality rate. He asks you to estimate the following model. Mortality Rate = a + B,Income + B,Poverty; + B, Proportion HS; + B. Proportion College +...
Decide (with short explanations) whether the following
statements are true or false.
e) In a simple linear regression model with explanatory variable x and outcome variable y, we have these summary statisties z-10, s/-3 sy-5 and у-20. For a new data point with x = 13, it is possible that the predicted value is y = 26. f A standard multiple regression model with continuous predictors and r2, a categorical predictor T with four values, an interaction between a and...
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