In ongoing economic analyses, the U.S. federal govemment compares per capita incomes not only among different...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
In ongoing economic analyses, the U.S. federal govemment compares per capita incomes not only among different states but also for the same state at different times, For the 50 states, the least-squares regression equation relating the 1980 per capita income and the 1999 per capita income is y = 7.97 + 1.97x, with x denoting 1980 per capita income and y denoting 1999 per capita income. The standard error of the slope of this least-squares regression line is approximately 1.40. (Source: U.S. Bureau of Economic Analysis, Survey of Current Business, May 2000). Based on this information, test for a significant linear relationship between the variables x and y by doing a hypothesis test regarding the population slope B,. (Assume that the variable y follows a normal distribution for each value of x and that the other regression assumptions are satisfied.) Use the 0.10 level of significance, and perform a two-tailed test. Then fill in the table below. y (If necessary, consult a list of formulas.) The null hypothesis: 0. The alternative hynothesis: D=0 The type of test statistic: (Choose one) 口ロ The value of the test statistic: (Round to at least three decimal places.) The pvalun: (Round to at least three decimal places,) 口 LejBmhs?ToBwW/QYjlbavbSPXtx-YCjsh_7 O CHI-SQUARE TESTS, INFERENCES FOR REGRESSION, AND ANOVA Hypothesis tests for the correlation coefficient and the slope of.. Emmanuel V 1.40. (9 :U.S. Bureau of Economic Analysis, Survey of Current Business, May 2000). Based on this information, test for a significant linear relationship between the variables x and y by doing a hypothesis test regarding the population slope B,. (Assume that the variable y follows a normal distribution for each value of x and that the other regression assumptions are satisfied.) Use the 0.10 level of significance, and perform a two-tailed test. Then fill in the table below. (If necessary, consult a list of formulas.) Aa The null hypothesis: H :0 The alternative hypothesis: Co 吕 D=D ロsロ The type of test statistic: (Choose one) □#ロ O<O D>D The value of the test statistic: (Round to at least three decimal places.) The p-value: (Round to at least three decimal places.) Based on the data, can we conclude (using the 0.10 level) that there is a significant linear relationship between 1980 per capita income and 1999 per capita income for U.S. states? O Yes O No Explanation Check 2020 McGraw-Hill Education All Rights Reserved. Terms of Use | Privacy | Accessibility Type here to search In ongoing economic analyses, the U.S. federal govemment compares per capita incomes not only among different states but also for the same state at different times, For the 50 states, the least-squares regression equation relating the 1980 per capita income and the 1999 per capita income is y = 7.97 + 1.97x, with x denoting 1980 per capita income and y denoting 1999 per capita income. The standard error of the slope of this least-squares regression line is approximately 1.40. (Source: U.S. Bureau of Economic Analysis, Survey of Current Business, May 2000). Based on this information, test for a significant linear relationship between the variables x and y by doing a hypothesis test regarding the population slope B,. (Assume that the variable y follows a normal distribution for each value of x and that the other regression assumptions are satisfied.) Use the 0.10 level of significance, and perform a two-tailed test. Then fill in the table below. y (If necessary, consult a list of formulas.) The null hypothesis: 0. The alternative hynothesis: D=0 The type of test statistic: (Choose one) 口ロ The value of the test statistic: (Round to at least three decimal places.) The pvalun: (Round to at least three decimal places,) 口 LejBmhs?ToBwW/QYjlbavbSPXtx-YCjsh_7 O CHI-SQUARE TESTS, INFERENCES FOR REGRESSION, AND ANOVA Hypothesis tests for the correlation coefficient and the slope of.. Emmanuel V 1.40. (9 :U.S. Bureau of Economic Analysis, Survey of Current Business, May 2000). Based on this information, test for a significant linear relationship between the variables x and y by doing a hypothesis test regarding the population slope B,. (Assume that the variable y follows a normal distribution for each value of x and that the other regression assumptions are satisfied.) Use the 0.10 level of significance, and perform a two-tailed test. Then fill in the table below. (If necessary, consult a list of formulas.) Aa The null hypothesis: H :0 The alternative hypothesis: Co 吕 D=D ロsロ The type of test statistic: (Choose one) □#ロ O<O D>D The value of the test statistic: (Round to at least three decimal places.) The p-value: (Round to at least three decimal places.) Based on the data, can we conclude (using the 0.10 level) that there is a significant linear relationship between 1980 per capita income and 1999 per capita income for U.S. states? O Yes O No Explanation Check 2020 McGraw-Hill Education All Rights Reserved. Terms of Use | Privacy | Accessibility Type here to search
Expert Answer:
Related Book For
Posted Date:
Students also viewed these mathematics questions
-
How is a linear relationship between two variables measured in statistics? Explain.
-
What is the estimated standard error of the slope estimate? Hypertension The INTERSALT Study investigators collected standardized data on timed 24-hour urinary excretion for 10,079 men and women from...
-
If X and Y are independent, normal random variables with E(X) = 0, V(X) = 4, E(Y) = 10, and V(Y) = 9. Determine the following: (a) E(2X + 3Y) (b) V(2X + 3Y) (c) P(2X + 3Y < 30) (d) P(2X + 3Y < 40)
-
Mr. Paulo Rodriguez, a fund manager of The Blackstone Group Inc. holds a portfolio with a current value of RM7.83 million. The cash index currently stands at 1,075 points. He fears that the market...
-
Use Table 14 - 1 to complete the table below: Annuity payment L $1,900 Annual rate 8% 5% 7% 6% Annual interest YearsType of annuity Future value of annuity Total interest Ordinary Compounded...
-
On April 30, the bank reconciliation of Westbrook Company shows three outstanding checks: no. 254, $650; no. 255, $620; and no. 257, $410. The May bank statement and the May cash payments journal...
-
Describe defenses to a lawsuit a defendant can offer at trial.
-
Describe the broad range of talent management efforts that use software applications by going to www.learn.com. Then give some examples of firms that have successfully used these applications.
-
John decided to invest some of his money into three different accounts. Account A has the most risk and Account C has the least risk. What is the expected return for each account?
-
The partnership of Bramble, Sunland, and Coronado engaged you to adjust its accounting records and convert them uniformly to the accrual basis in anticipation of admitting Kerns as a new partner....
-
Problem 3: The airfoil NACA 2418, considering a chord-based Reynolds number of: Re = 5. 105, has a lift coefficient of: CL = 0.25 at zero angle of attack. Assuming the C - a slope of the first-order...
-
How can you create an effective strategy for your interview?
-
In what way is documentation of sources different in colleges and universities than in business?
-
How can you plan for a successful career?
-
Revise the following sentences to present the bad news with passive-voice verbs. a. Our retail stores will no longer be accepting credit cards for purchases under $5. b. We do not examine patients...
-
What is the first step in writing a report? Provide a specific example.
-
Draw an ERD using following information. 1. Identifying Entities: Customers, Pool Cleaning Companies, Workers, Services, Payments, and Messages. 2. Defining Attributes: 1. Customers: Name: The...
-
Which, if any, of the dichloroethene molecules drawn in Data Table II (3.) (4.) and (5.) are geometric isomers? A. B. C. D. cis-1,2-dichloroethene and trans-1,2-dichloroethene...
-
At an initial point on the aggregate demand curve, the price level is 100, and real GDP is $15 trillion. After the price level rises to 110, however, there is an upward movement along the aggregate...
-
Advances in research and development in the pharmaceutical industry have enabled manufacturers to identify potential cures more quickly and therefore at lower cost. At the same time, the aging of our...
-
Each year after a regular spring cleaning, Maria spruces up her home a little by retexturing and repainting the walls of one room in her house. In a given year, she spends $25 on magazines to get...
-
A diver leaps from a high platform, speeds up as she falls, and then slows to a stop in the water. How do you define the system so that the energy changes are all transformations internal to an...
-
When your hands are cold, you can rub them together to warm them. Explain the energy transformations that make this possible.
-
Figure Q10.24 shows a potential-energy diagram for a particle. The particle is at rest at point A and is then given a slight nudge to the right. Describe the subsequent motion. FIGURE Q10.24 Energy...
Study smarter with the SolutionInn App