Question
1. (Based on Stock & Watson “Introduction to Econometrics” 6th ed., Exercise 4.1 and 5.1.) Suppose...
1. (Based on Stock & Watson “Introduction to Econometrics” 6th ed., Exercise 4.1 and 5.1.) Suppose that a researcher, using data on class size (CS) and average test scores from 100 third-grade classes, estimate the simple linear regression: TestScore d = 520.4−5.82 × CS, n = 100, R^2 = 0.08. (20.4) (2.21)
(d) Name one factor in the error term and discuss its correlation with class size and average test score.
(e) Construct 95% and 90% confidence intervals for β1.
(f) Calculate the p-value for the two-sided test of the null hypotheis H0 : β1 = 0. Do you reject the null hypothesis at the 95% level? At the 1% level?
(g) Calculate the p-value for the hypotheses H0 : β1 = −5.6 v.s. H1 : β1 6= −5.6. Without doing any additional calculations, determine whether −5.6 is contained in the 95% confidence interval for β1.
(h) Construct a 99% confidence interval for β0.
Answers
= 0.08 = 0.283 The correlation with class size and average test score is 0.283. CI = bt 98.0.025) SE (6) =-5.82 1.984x2.21 =-5.824.3846 =(-5.82-4.3846.-5.82+4.3846) =(-10.2046.-1.4354) The 95% confidence interval for the slope is -10.2046<B<-1.4354.CI = 5 798,0.05) * SE (6) =-5.82 1.661x 2.21 =-5.82 =(-5.82-3.6708.-5.82 +3.6708) =(-9.4908.-2.1492) The 95% confidence interval for the slope is -9.4908<A<-2.1492 SE(5) --5.82-0 = 221 = -2.63 The p-value is 0.0099. Reject the null hypothesis at the 95% level and at the 1% level.t-5-6 SE (6) -5.82-(-5.6) 2.21 -5.82 +5.6 2.21 =-0.10 The p-value is 0.9205. Do not reject the null hypothesis at the 95% level. Yes, -5.6 is contained in the 95% confidence interval for A. (h)CI = b, 88.000 SE(b) = 520.4+2.627 x 20.4 = 520.4+53.5908 =(520.4-53.5908,520.4+53.5908) = ( 466.8092,573.9908) The 99% confidence interval for the intercept is 466.8092 <B, < 573.9908.
Similar Solved Questions
1 answers
QUESTION3 A blimp flies 7.45 km/h. How far does the blimp travel after 1.25 h? O...
QUESTION3 A blimp flies 7.45 km/h. How far does the blimp travel after 1.25 h? O A 5.96 km 5.96 km/h ОС. 931 km/h O D. 9.31 km QUESTION 4 What is the average speed for a taxi that travels 12.3 mi in 15.0 minutes? A. 0.82 mi/h OB. 49.2 mi/min C. 49.2 mi/h D. 0.82 ft/min QUESTION5...
1 answers
*graph blurry on paper but left is fluorescent and right is mercury *scale remains the same...
*graph blurry on paper but left is fluorescent and right is mercury *scale remains the same for both 7. Below are two emission graphs. The graph on the left is the emission from standard fluorescent office lighting. The graph on the right is the emission from a mercury discharge tube. Using these gr...
1 answers
Show work as necessary and please be neat 14. In 2016, Nordstrom, Inc. reported the following...
show work as necessary and please be neat 14. In 2016, Nordstrom, Inc. reported the following (in millions): Current Assets Current Llabilities Long-term Liabilities $3,959 Equity $870 $3,242 $3.020 What amount did Nordstrom report as total assets? A) $ 4,616 million B) $ 3,950 million C) $ 7,30...
1 answers
Dividends Per Share Lightfoot Inc., a software development firm, has stock outstanding as follows: 15,000 shares...
Dividends Per Share Lightfoot Inc., a software development firm, has stock outstanding as follows: 15,000 shares of cumulative preferred 3% stock, $25 par, and 19,000 shares of $100 par common. During its first four years of operations, the following amounts were distributed as dividends: first year...
1 answers
Case Scenario: A 40-year-old woman has been admitted with possible embolism. Her symptoms are chest pain,...
Case Scenario: A 40-year-old woman has been admitted with possible embolism. Her symptoms are chest pain, right leg temperature warmer than left, delivery of a baby by C-section three weeks ago, and fatigue and shortness of breath. Question: Why is this treated as an emergency? Support your answer ...
1 answers
Balance this equ Mg(s) + N2(g) + O2(g) → MgO(s) + Mg3N2(s) MgO(s) + Mg3N2(s) +...
balance this equ Mg(s) + N2(g) + O2(g) → MgO(s) + Mg3N2(s) MgO(s) + Mg3N2(s) + H2O(l) → MgO(s) + Mg(OH)2 (s) + NH3(g) MgO(s) + Mg(OH)2 (s) → MgxOy(s) + H2O(g)...
1 answers
An experiment consists in asking 8 people whether they have a college degree, and counting the...
An experiment consists in asking 8 people whether they have a college degree, and counting the number of people who answer they do have one. List all the possible values of the random variable associated to this experiment....
1 answers
(TCO 4) A few blocks of a (non-commercial) FM transmitter are shown in the diagram below....
(TCO 4) A few blocks of a (non-commercial) FM transmitter are shown in the diagram below. Using Carson's Rule, find the required bandwidth of the radiated signal. (TCO 4) A few blocks of a (non-commercial) FM transmitter are shown in the diagram below. Using Carson's Rule, find the required ...
1 answers
1. a. Complete the following table. Gross Domestic Product 4,532 4,804 Consumption 3,320 3,544 Investment 589...
1. a. Complete the following table. Gross Domestic Product 4,532 4,804 Consumption 3,320 3,544 Investment 589 629 673 Government Purchases 861 977 New Export -45 -58 -54 b. What is the largest expenditure component of GDP? Answer: c. Does investment include the purchase of company shares and bonds? ...
1 answers
LECTURE # 1) beft 36 " Determine the design moment strength of the section shown. Use...
LECTURE # 1) beft 36 " Determine the design moment strength of the section shown. Use fc' = 4 ksi and fy = 60 ksi. (10 | Also check the minimum reinforcement 32 requirement and the ductility of the beam. 8-# 9 bars 14in Asyrin Pin= 200 156 As OK TAs fy =480 Ksi OXS f 4.3530 LECTURE # 1) bef...
1 answers
Force Completion This test can be saved and resumed at any point until time has expired....
Force Completion This test can be saved and resumed at any point until time has expired. Ihme Remaining Time: 11 minutes, 49 seconds. Question Completion Status: A Click Submit to complete this assessment. Question 20 Identify which of the following is NOT conjugated acid-base pair: HBr/HBro CI/HCI ...
1 answers
If a random sample of 16 homes south of Center Street in Provo has a mean...
If a random sample of 16 homes south of Center Street in Provo has a mean selling price of $145,250 and a standard deviation of $4650, and a random sample of 17 homes north of Center Street has a mean selling price of $148,475 and a standard deviation of $5750, can you conclude that there is a signi...
1 answers
Silver Sun Media just bought a new race track. To pay for the race track, the...
Silver Sun Media just bought a new race track. To pay for the race track, the company took out a loan that requires Silver Sun Media to pay the bank a special payment of 2,590 dollars in 5 month(s) and also pay the bank regular payments of 4,310 dollars each month forever. The interest rate on the l...
1 answers
Independent random samples, each containing 90 observations, were selected from two populations. The samples from populations...
Independent random samples, each containing 90 observations, were selected from two populations. The samples from populations 1 and 2 produced 50 and 42 successes, respectively. Test H0:(p1−p2)=0 against Ha:(p1−p2)≠0. Use α=0.04. (a) The test statistic is (b) The P-value is (c) ...
1 answers
When a running football player “throws” his right foot down and behind him, as in this...
When a running football player “throws” his right foot down and behind him, as in this sketch, what happens in reaction is: He begins to fall backward. Counter-rotational torque applies. The ground pushes up and forward. The ground exerts no force on him. An electron from a hydrogen atom...
1 answers
Draw a Punnett square for a cross between a woman who has hemophilia (X-linked recessive inheritance)...
Draw a Punnett square for a cross between a woman who has hemophilia (X-linked recessive inheritance) & a man who is unaffected by hemophilia. Then, answer the following questions about your results. a. what percent of their offspring are likely to be affected males? b. What percent of their off...