Can you reject the null hypothesis at the 5% significance level? (Round your response to two decimal places) The p-value is ☐ (Round your response to three decimal places) A. No. B. Yes. Construct a 95% confidence interval for the slope coefficient B₁. The 95% confidence interval for the slope coefficient B₁ is (☐, ] (Round your response to three decimal places) Now, suppose you are interested in estimating the following model for the subpopulation of females (female = 1) ED=B0 + B₁ Dist + u Run a regression of years completed of education (ED) on distance to the nearest college (Dist) using the sample for which the indicator variable female = 1. What is the estimated intercept Bo? What is the estimated slope B₁? The estimated intercept Bo is (Round your response to three decimal places) The estimated slope B₁ is (Round your response to three decimal places) In this exercise, you will use these data to investigate the relationship between the number of completed years of education for young adults and the distance from each student's high school to the nearest four-year college. (Proximity lowers the cost of education, so that students who live closer to a four-year college should, on average, complete more years of higher education.) The following table contains data from a random sample of high school seniors interviewed in 1980 and re-interviewed in 1986. Download the data from the table by clicking the download table icon A detailed description of the variables used in the dataset is available here i . Use a statistical package of your choice to answer the following questions. Suppose you are interested in estimating the following model ED=B0+ B₁Dist + u Run a regression of years completed of education (ED) on distance to the nearest college (Dist). What is the estimated intercept Bo? What is the estimated slope B₁? The estimated model is The estimated intercept Bo is (Round your response to three decimal places) The estimated slope (B₁ is (Round your response to three decimal places) ED = 13.532 + −0.009 Dist, R² = 0.000 (0.070) Where the number in parentheses is the homoskedastic standard error for the regression coefficient B₁. Suppose you wanted to test the hypothesis that B₁ equals zero at the 1%, 5% and 10% level. That is, Ho B₁ =0 vs. H₁: B₁ #0 Report the t-statistic and p-value for this test. The t-statistic is
Can you reject the null hypothesis at the 5% significance level? (Round your response to two decimal places) The p-value is ☐ (Round your response to three decimal places) A. No. B. Yes. Construct a 95% confidence interval for the slope coefficient B₁. The 95% confidence interval for the slope coefficient B₁ is (☐, ] (Round your response to three decimal places) Now, suppose you are interested in estimating the following model for the subpopulation of females (female = 1) ED=B0 + B₁ Dist + u Run a regression of years completed of education (ED) on distance to the nearest college (Dist) using the sample for which the indicator variable female = 1. What is the estimated intercept Bo? What is the estimated slope B₁? The estimated intercept Bo is (Round your response to three decimal places) The estimated slope B₁ is (Round your response to three decimal places) In this exercise, you will use these data to investigate the relationship between the number of completed years of education for young adults and the distance from each student's high school to the nearest four-year college. (Proximity lowers the cost of education, so that students who live closer to a four-year college should, on average, complete more years of higher education.) The following table contains data from a random sample of high school seniors interviewed in 1980 and re-interviewed in 1986. Download the data from the table by clicking the download table icon A detailed description of the variables used in the dataset is available here i . Use a statistical package of your choice to answer the following questions. Suppose you are interested in estimating the following model ED=B0+ B₁Dist + u Run a regression of years completed of education (ED) on distance to the nearest college (Dist). What is the estimated intercept Bo? What is the estimated slope B₁? The estimated model is The estimated intercept Bo is (Round your response to three decimal places) The estimated slope (B₁ is (Round your response to three decimal places) ED = 13.532 + −0.009 Dist, R² = 0.000 (0.070) Where the number in parentheses is the homoskedastic standard error for the regression coefficient B₁. Suppose you wanted to test the hypothesis that B₁ equals zero at the 1%, 5% and 10% level. That is, Ho B₁ =0 vs. H₁: B₁ #0 Report the t-statistic and p-value for this test. The t-statistic is
Chapter1: Introducing The Economic Way Of Thinking
Section1.A: Applying Graphics To Economics
Problem 1SQ
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College Distance,,
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12,5.875,0
12,0.929,0
16,11.286,0
12,1.416,0
12,0.545,0
17,2.827,0
12,1.805,0
15,0.606,0
13,0.675,0
13,1.214,0
12,0.382,0
13,1.852,0
15,1.432,0
13,1.492,0
12,1.702,0
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15,1.966,0
14,0.837,0
12,7.359,0
13,1.587,0
13,1.120,0
16,0.388,0
16,4.833,0
17,0.399,0
16,2.043,0
15,0.738,0
13,1.821,0
12,1.542,0
12,2.349,0
14,15.280,0
15,1.639,0
12,1.079,0
16,1.788,0
12,0.420,0
12,0.601,0
12,0.973,0
12,4.579,0
12,4.703,0
15,0.372,0
12,0.733,0
16,1.865,0
12,1.471,0
12,5.313,0
12,8.621,0
12,3.644,0
12,1.693,0
16,5.214,0
12,2.363,0
12,1.437,0
13,1.299,0
12,3.629,0
12,0.480,1
12,4.337,1
17,2.037,1
12,0.212,1
15,1.094,1
12,1.413,1
15,1.903,1
12,0.974,1
12,1.001,1
16,5.113,1
12,0.955,1
12,0.644,1
16,0.992,1
16,0.918,1
14,2.461,1
14,1.961,1
17,0.908,1
12,1.225,1
15,4.600,1
12,1.702,1
12,1.593,1
16,0.285,1
12,1.050,1
12,1.534,1
14,0.551,1
16,2.380,1
12,3.195,1
12,0.614,1
16,2.765,1
12,0.375,1
14,2.385,1
12,10.645,1
12,5.576,1
14,0.818,1
16,0.976,1
12,3.973,1
15,1.993,1
12,0.525,1
12,6.584,1
18,0.559,1
12,6.722,1
12,0.525,1
17,1.781,1
12,0.908,1
14,2.290,1
15,1.512,1
16,7.865,1
14,1.877,1
12,4.047,1
![Can you reject the null hypothesis at the 5% significance level?
(Round your response to two decimal places)
The p-value is ☐
(Round your response to three decimal places)
A. No.
B. Yes.
Construct a 95% confidence interval for the slope coefficient B₁.
The 95% confidence interval for the slope coefficient B₁ is (☐, ]
(Round your response to three decimal places)
Now, suppose you are interested in estimating the following model for the subpopulation of females (female = 1)
ED=B0 + B₁ Dist + u
Run a regression of years completed of education (ED) on distance to the nearest college (Dist) using the sample for which the indicator variable female = 1.
What is the estimated intercept Bo?
What is the estimated slope B₁?
The estimated intercept Bo is
(Round your response to three decimal places)
The estimated slope B₁ is
(Round your response to three decimal places)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc9737efd-391f-457a-98f6-aa044a0527f1%2F1fed841c-a184-4ef5-a00e-b92053f4ab52%2Fnmf84zi_processed.png&w=3840&q=75)
Transcribed Image Text:Can you reject the null hypothesis at the 5% significance level?
(Round your response to two decimal places)
The p-value is ☐
(Round your response to three decimal places)
A. No.
B. Yes.
Construct a 95% confidence interval for the slope coefficient B₁.
The 95% confidence interval for the slope coefficient B₁ is (☐, ]
(Round your response to three decimal places)
Now, suppose you are interested in estimating the following model for the subpopulation of females (female = 1)
ED=B0 + B₁ Dist + u
Run a regression of years completed of education (ED) on distance to the nearest college (Dist) using the sample for which the indicator variable female = 1.
What is the estimated intercept Bo?
What is the estimated slope B₁?
The estimated intercept Bo is
(Round your response to three decimal places)
The estimated slope B₁ is
(Round your response to three decimal places)
Transcribed Image Text:In this exercise, you will use these data to investigate the relationship between the number of completed years of education for young adults and the distance from each student's high school to the
nearest four-year college. (Proximity lowers the cost of education, so that students who live closer to a four-year college should, on average, complete more years of higher education.)
The following table contains data from a random sample of high school seniors interviewed in 1980 and re-interviewed in 1986. Download the data from the table by clicking the download table icon
A detailed description of the variables used in the dataset is available here i . Use a statistical package of your choice to answer the following questions.
Suppose you are interested in estimating the following model
ED=B0+ B₁Dist + u
Run a regression of years completed of education (ED) on distance to the nearest college (Dist).
What is the estimated intercept Bo?
What is the estimated slope B₁?
The estimated model is
The estimated intercept Bo is
(Round your response to three decimal places)
The estimated slope (B₁ is
(Round your response to three decimal places)
ED = 13.532 + −0.009 Dist, R² = 0.000
(0.070)
Where the number in parentheses is the homoskedastic standard error for the regression coefficient B₁.
Suppose you wanted to test the hypothesis that B₁ equals zero at the 1%, 5% and 10% level. That is,
Ho B₁ =0 vs. H₁: B₁ #0
Report the t-statistic and p-value for this test.
The t-statistic is
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