Answer 5 questions about Population Survey

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Answer the question 11-15.

Population Survey

Each month the Bureau of Labor Statistics in the U.S. Department of Labor conducts the “Current Population Survey” (CPS), which provides data on labour force characteristics of the population, including the level of employment, unemployment, and earnings. Approximately 65,000 randomly selected U.S. households are surveyed each month. The sample is chosen by randomly selecting addresses from a database comprised of addresses from the most recent decennial census augmented with data on new housing units constructed after the last census. The exact random sampling scheme is rather complicated (first small geographical areas are randomly selected, then housing units within these areas randomly selected).

The file Assignment Data.xlsx, tab: Young Workers Survey contains the data from the survey. These data are for full-time workers, defined as workers employed more than 35 hours per week for at least 48 weeks in the previous year. Data are provided for workers whose highest educational achievement is (1) a high school diploma, and (2) a bachelor’s degree.

Series in Data Set:

FEMALE: 1 if female; 0 if male

YEAR: Year

AHE : Average Hourly Earnings

BACHELOR: 1 if worker has a bachelor’s degree; 0 if worker has a high school degree

Use the data in Assignment Data.xlsx, tab: Young Workers Survey to answer the following questions:

C11. (1 mark) Plot the regression relation between Age and ln(AHE) from C5, C6, and C7 for males with a high school diploma. Describe the similarities and differences between the estimated regression functions. Would you answer change if you plotted the regression function for females with college degrees?

C12. (1 mark) Run a regression of ln(AHE), on Age, Age2, Female, Bachelor, and the interaction term FemaleBachelor. What does the coefficient on the interaction term measure? Alexis is a 30-year-old female with a bachelor's degree. What does the regression predict for her value of ln(AHE)? Jane is a 30-year-old female with a high school degree. What does the regression

predict for her value of ln(AHE)? What is the predicted difference between Alexis's and Jane's earnings? Bob is a 30-year-old male with a bachelor's degree. What does the regression predict for his value of ln(AHE)? Jim is a 30-year-old male with a high school degree. What does the regression predict for his value of ln(AHE)? What is the predicted difference between Bob's

and Jim's earnings?

C13. (1 mark) Is the effect of Age on earnings different for men than for women? Specify and estimate a regression that you can use to answer this question.

C14. (1 mark) Is the effect of Age on earnings different for high school graduates than for college graduates? Specify and estimate a regression that you can use to answer this question.

C15. (1 mark) After running all these regressions (and any others that you want to run), summarize the effect of age on earnings for young workers.

The following is the part of C5,6,7 required for C11

C5. (1 mark) Run a regression of the logarithm of average hourly earnings, ln(AHE) on Age, gender (Female), and education (Bachelor). Report Excel/Matlab output. What is the estimated effect of Age on earnings? What is the estimated effect of Age on earnings? If Age increases from 25 to 26, how are earnings expected to change? If Age increases from 33 to 34, how are earnings expected to change?

SE: (0.077) (0.015) (0.015) (0.003)

- 0.025

If Age increases from 25 to 26, the earnings expected to increase 0.025 dollars per year.

- 0.025

If Age increases from 33 to 34, the earnings expected to increase 0.025 dollars per year.

From the equation above, only one data changes if other data remains unchanged. Then the data of this change can give the final answer whether it is increasing or decreasing.

C6. (1 mark) Run a regression of the logarithm of average hourly earnings, ln(AHE) on ln(Age), gender (Female), and education (Bachelor). Report Excel/Matlab output. What is the estimated effect of Age on earnings? What is the estimated effect of Age on earnings? If Age increases from 25 to 26, how are earnings expected to change? If Age increases from 33 to 34, how are earnings expected to change?

SE: (0.257) (0.015) (0.015) (0.076)

|Ln(Age) 26 - 0.738

If Age increases from 25 to 26, the earnings expected to increase 0.738 dollars per year.

|Ln(Age) 34 - 0.738

If Age increases from 33 to 34, the earnings expected to increase 0.738 dollars per year.

From the equation above, only one data changes if other data remains unchanged. Then the data of this change can give the final answer whether it is increasing or decreasing.

C7. (1 mark) Run a regression of the logarithm of average hourly earnings, ln(AHE) on Age, Age2, gender (Female), and education (Bachelor). Report Excel/Matlab output. What is the estimated effect of Age on earnings? What is the estimated effect of Age on earnings? If Age increases from 25 to 26, how are earnings expected to change? If Age increases from 33 to 34, how are earnings expected to change?

=1.756 + 0.442 *Bachelor + (-0.154) * Female+ 0.021 *Age + 6.43262E-05

SE: (0.877) (0.015) (0.015) (0.060) (0.001)

= when Age is 25 = 1.756 + 0.442 *Bachelor + (-0.154) * Female+ 0.021 *25 + 6.43262E-05

= when Age is 26 = 1.756 + 0.442 *Bachelor + (-0.154) * Female+ 0.021 *26 + 6.43262E-05

0.021

If Age increases from 25 to 26, the earnings expected to increase 0.021 dollars per year.

= when Age is 33 = 1.756 + 0.442 *Bachelor + (-0.154) * Female+ 0.021 *33 + 6.43262E-05

= when Age is 34 = 1.756 + 0.442 *Bachelor + (-0.154) * Female+ 0.021 *34 + 6.43262E-05

0.021

If Age increases from 33 to 43, the earnings expected to increase 0.021 dollars per year.

From the equation above, only one data changes if other data remains unchanged. Then the data of this change can give the final answer whether it is increasing or decreasing.

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Idustry Basic Materials Healthcare Financials Basic Materials Financials Financials Basic Materials Sector Mineral Resources Healthcare Services Banking & Investment Equipment Applied Resources Services Banking & Investment Banking & Investment Services Mineral Resources Services Subsector Cement & Concrete Hospitals,Manufacturing Clinics Corporate & Primary Banks Non-Paper Care Services Containers Banks &Banks PackagingIron Ore Mining Name S&P/ASX 200 ADELAIDE BRIGHTON RAMSAY HEALTH AUS.AND CARE NZ.BANKING AMCOR GP. WESTPAC BANKING BANK OF QLND. FORTESCUE METALS GP. 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658.6 679.9 683.8 682.7 672 660.3 673.2 658.6 642.9 626 601.9 631.1 607 638.4 664.8 660.8 676.5 681.6 692.2 698.4 721.4 708.5 703.5 718 714.7 720.8 48757.5 49920.7 53216.4 50599.2 52634.8 56802.9 61068 56899.9 63782.1 61358.8 57675.3 57869.2 58741.6 60389.5 59129.4 63879.1 66011.6 63976 67659.4 67659.4 63976 63006.7 63394.4 60777.2 59807.9 62231.2 57190.7 50793.1 52150.2 50599.2 49726.8 48660.6 48563.6 47012.7 45946.4 47206.5 43813.9 49145.2 51762.4 51471.6 52150.2 51374.7 55736.7 56221.4 53313.4 57093.8 56899.9 57772.3 56609.1 51665.5 9/27/2017 10/4/2017 10/11/2017 10/18/2017 10/25/2017 11/1/2017 11/8/2017 11/15/2017 11/22/2017 11/29/2017 12/6/2017 12/13/2017 12/20/2017 12/27/2017 5664.3 5652.1 5772.1 5890.5 5905.6 5937.8 6016.3 5934.2 5986.4 6011.1 5945.7 6021.8 6075.6 6069.9 1379.9 1375.1 1398.9 1439.4 1475 1491.7 1496.5 1496.5 1496.5 1544 1563.1 1558.3 1558.3 1548.8 2862.9 2902.5 2959.7 3033.3 3062.2 3044 3161.4 3020.7 3102.3 3246.2 3261.5 3206.6 3234.5 3251.8 4226.9 4146.1 4239.6 4303.5 4324.7 4265.2 4268 4130.5 4146.1 4079.4 4004.3 4065.2 4120.5 4083.7 1257.8 1236.4 1276.7 1307.2 1310.5 1260.3 1226.5 1235.5 1259.4 1281.7 1294.9 1274.3 1287.4 1267.7 1360.6 1356.8 1390 1416.4 1419.8 1413.9 1394.3 1355.9 1353 1340.6 1318.9 1338.9 1338.9 1336.8 727 728.7 725.9 744.4 750 743.8 704 707.4 709.6 730.9 709.1 713 710.2 710.8 50405.3 49920.7 48078.9 47594.3 48951.4 45364.8 47497.3 44880.1 45461.7 44783.2 44492.4 46915.8 47594.3 47497.3 Telecommunication Energy Services Financials Consumer Non-Cyclicals Consumer Cyclicals Basic Materials Consumer Non-Cyclicals Financials Financials Telecommunications Energy - Fossil Services Banking Fuels & Investment Food & Beverages Services Cyclical Consumer MineralServices Resources Food & Beverages Real Estate Banking & Investment Services Integrated Telecommunications Oil & Gas Exploration CorporateServices and Banks Agriculture Production Amusement Support Services Rare Parks Earth and Minerals Zoos Non-Alcoholic Commercial Beverages Securities REITs & Commodity Exchanges TELSTRA BEACH ENERGY BENDIGO &GRAINCORP ADELAIDE BANK ARDENT LEISURE LYNASGROUP COCA-COLABWP AMATIL TRUSTASX 871685 912887 316588 675302 675493 540349 906300 675667 675705 196.6 92.7 374.4 112 255.1 34.4 2142.1 222.1 893.7 197.8 90.4 376.3 111.3 257.7 34.4 2136.7 223.1 895.2 195.5 87.5 374.4 105.5 258.9 38.5 2133.2 226.1 880.1 195.5 90.4 373.8 106 256.4 37.4 2149.2 232.2 886.2 191 93 367.7 102.7 253.9 35 2118.9 228.1 871.6 188.4 90.1 355 99 251.9 30.9 2013.9 223.1 837.1 191.4 97.6 370.6 102.1 261.5 32.7 2102.9 230.2 867.7 196.6 100.8 374.7 102.1 284.3 33.9 2015.7 235.2 907.8 190.6 103.7 357.2 106.8 294.5 36.8 2010.3 241.3 914.1 191 111.5 356.3 108.3 302.1 35 2017.4 244.4 895.6 190.3 107.6 356.3 111.3 312.2 28.6 2003.2 236.3 887.6 188.4 106 355 112 324.9 25.7 1988.9 233.2 878.9 189.1 107.6 358.5 111.3 314.8 21 1988.9 233.2 883.5 189.5 110.2 357.5 112 319.9 23.9 1946.2 231.2 864 190.3 109.9 358.8 115.5 330 22.8 2019.2 243.4 862.1 191 108.9 351.8 117.1 317.3 21.6 1659.5 245.4 853.3 193.6 113.4 366.5 118 323.7 21.6 1648.9 246.4 864.8 195.5 111.2 366.8 116.7 338.9 19.3 1647.1 253.5 864 194 109.9 358.2 116.2 322.4 15.8 1622.1 255.5 862.8 197.8 110.8 365.2 117.6 322.4 15.2 1656 258.6 877.4 200.7 106.3 362.6 117 311 12.8 1766.4 254.5 874.7 200 107.9 372.8 117.6 337.6 19.8 1704 260.6 884 199.3 109.2 373.5 111.8 340.2 19.3 1700.5 255.5 860.9 196.6 108.6 386.2 109.3 342.7 16.3 1648.9 258.6 861.4 193.6 109.9 384.6 111.8 337.6 14.6 1613.2 253.5 861.8 193.6 111.2 389.7 112 345.2 14.6 1636.4 263.6 860.6 195.9 110.2 394.5 110.1 345.2 15.2 1693.4 251.5 873.8 198.1 107.6 389.4 111.4 336.4 16.3 1696.9 252.5 875 202.6 110.8 392 111.3 335.1 15.8 1672 257.5 883.5 204.1 114.1 396.4 115.4 333.8 23.3 1656 260.6 889.8 205.6 109.9 403.4 114.7 332.5 23.9 1656 262.6 880.3 203.4 107.9 396.1 114.6 318.6 17.5 1673.8 254.5 868.4 203.7 107 404.7 113.1 354.1 17.5 1688 257.5 862.1 212 110.8 405.7 115.8 389.7 18.7 1698.7 263.6 889.8 207.1 105.7 400.6 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Materials Financials Financials Basic Materials Real Estate Healthcare Services Utilities & Equipment Banking & Investment Mineral Resources Services Mineral Resources Real Estate Real Estate Mineral Resources Office REITsMedical Prosthetics Electric Utilities Banks Construction Diversified Material Wholesale Mining Office REITsRetail REITsConstruction Materials INVESTA OFFICE COCHLEAR FUND ORIGIN ENERGY COMMONWEALTH (EX BORAL) BORAL BK.OF RIOAUS. TINTO CROMWELLCHARTER PROPERTY HALL CSR GROUP RETAIL REIT 280141 871051 906299 314054 280257 905473 502144 887937 904735 78.2 2067.4 3861 1215.6 201.7 3566.6 124 69 177.6 79.4 2096.5 3847.2 1216.9 201.3 3418.5 124.6 69.8 177.6 79.4 2086.7 3704.5 1190.5 203.4 3360.4 125.2 70.5 191.7 79.4 2108.8 3910.3 1186.1 200.9 3415.4 125.2 70.3 192.3 77.2 2060.3 3836.3 1170.6 202.6 3442.1 123.3 69 197.7 75.4 1993.3 3869.2 1132.7 201.3 3378.8 120.2 68 197 76.9 1958.9 4077.7 1190.6 230.5 3562.4 124 69.4 211.1 78.2 1955.1 4075 1171.9 231.3 3672.2 125.2 69.8 207.1 79.4 2065.6 4000.9 1179.5 235.6 3503.3 124.6 70.3 211.1 80.7 2007.4 4069.5 1180 246.1 3390.3 125.9 69 217.8 79.9 2020 3995.4 1183.6 244.9 3211.4 128.4 69.9 218.5 80.4 2004.9 3937.8 1178.9 241.1 3209.8 127.1 69 222.5 79.9 2013.3 3935 1193.6 237.7 3330.6 122.1 69.4 218.5 80.4 1983.5 3915.8 1202.3 243.2 3353.1 121.4 69.2 239.9 81.4 2044.9 3998.2 1210.8 248.7 3407.5 122.1 69.9 243.9 81.7 2005.3 3978.9 1205.5 244.9 3314.9 124 70.5 244.6 83.9 2003.5 4091.5 1234.5 248.2 3284.6 125.9 72.2 257.4 83.4 2059.3 4088.7 1232.8 240.6 3227.6 125.9 74.2 244.6 81.7 2061.8 4168.3 1227.3 228.4 3170 124.6 74.4 235.9 82.7 2080.7 4160.1 1263.9 228.8 3284.1 125.9 73.8 223.8 81.9 2057.2 4102.4 1253 224.1 3107.3 124.6 74.6 223.2 83.7 2107.7 4171 1280.3 223.3 3211.9 127.1 76.5 234.6 83.4 2090.9 3948.8 1268 219.9 3109.4 125.9 76.7 223.8 84.4 2079.3 3943.3 1284.4 220.3 3107.3 125.9 75.9 231.9 85.9 2131.9 3924.1 1265.6 218.6 3028.8 124.6 75.3 232.6 86.9 2135.4 3948.8 1265.9 224.1 3090 126.5 77.2 237.9 86.2 2177.2 3954.3 1264.4 223.7 3243.3 125.9 74.9 237.2 86.4 2178.2 3885.6 1262.3 225.8 3250.6 125.2 74.7 237.9 86.9 2184.9 3946 1271.1 228.8 3344.8 125.2 76.1 247.3 89.2 2244.2 3918.6 1274.4 229.6 3375.6 127.1 76.7 251.3 88.9 2222.1 3910.3 1298.9 225 3456.2 128.4 77.2 252 87.7 2484.9 3819.8 1276.7 223.7 3443.1 125.9 74.9 251.3 88.2 2394.7 3819.8 1265 220.8 3438.4 125.9 75.5 243.3 91.9 2455.4 3893.9 1254.7 225 3451.5 129.1 76.7 237.2 90.4 2526 4171 1267.5 238.1 3354.7 132.2 76.7 229.9 91.4 2553.7 4349.4 1276.6 226.3 3261.1 128.4 78.4 235.2 88.2 2393 4278.1 1274.1 222.9 3218.7 127.8 76.9 238.6 84.7 2352.3 4135.4 1208.6 220.8 3245.9 124 73.4 229.9 83.9 2356.8 4146.3 1194.1 213.6 3177.9 124 73.8 220.5 85.4 2429.5 4102.4 1190.6 209.3 3099.9 122.1 73.8 224.5 84.2 2403.9 4033.8 1172.2 206.8 3091 121.4 73.6 212.4 83.4 2501.4 3882.9 1178.9 209.8 3190.4 120.2 71.9 219.2 84.9 2521.8 3940.5 1212 213.1 3201.9 124 74.4 229.2 86.9 2535.1 3924.1 1243.4 208.5 3120.3 125.2 75.9 230.5 89.7 2555.8 3877.4 1274.4 206.4 3147 127.1 78.6 241.3 89.4 86.2 87.9 91.7 89.7 90.9 92.9 90.9 92.4 91.7 94.2 95.9 102.7 104.4 104.9 100.4 101.2 100.4 99.4 100.9 97.2 98.2 97.4 94.4 94.4 92.7 94.4 95.4 95.9 98.7 97.2 95.2 101.9 96.4 95.9 98.2 95.9 99.7 98.9 93.7 95.4 95.7 95.4 97.2 97.4 94.9 98.4 98.2 95.4 99.9 2523.9 2504.9 2474 2524.9 2554.7 2526.3 2691.2 2726.3 2754.4 2780.4 2868.8 2884.6 2987.7 3017.9 3203.5 3252.6 3124.2 3128.8 3194.7 3266 3221.1 3184.6 3154 3087.7 2926 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2202.8 2198.1 2265.1 2317.4 2233.2 2294.4 2196.5 2214.8 2478.5 2683.5 2532.9 2503.1 2406.8 2396.9 2355.6 2290.7 2362.9 2247.3 2332 2345.1 2448.7 2656.3 2510.9 2594.6 2585.2 2645.4 2592.5 2606.1 2490 2519.3 2449.7 2492.6 2615.5 2714.9 129.1 129.7 126.5 125.9 129.7 132.9 131 131.6 134.1 135.4 131 129.1 126.5 125.2 126.5 122.7 124.6 127.8 131 129.1 129.7 133.5 131 131 128.4 125.9 127.1 131.6 132.2 130.3 133.5 133.5 134.1 132.9 133.5 127.8 127.8 133.5 138 138.6 139.2 138 137.3 134.8 129.7 124.6 122.1 122.1 124 119.5 80.7 78.8 76.9 78.2 77.8 79.2 79.7 80.5 81.7 81.5 79.2 78.2 78.4 78.8 81.7 79.4 80.9 80.9 84.2 84 85.7 86.9 87.8 87 87.8 90.7 90.9 93.2 93.4 91.8 92 91.5 93.6 93 93.6 90.3 91.5 93.2 94 91.5 89.7 87.6 88.6 82.6 82.2 81.5 79.7 80.1 81.1 80.7 189 203.1 210.4 209.1 207.1 203.1 189.7 179.6 182.3 191.7 180.3 174.2 162.2 165.5 176.9 177.6 189 191 194.4 215.8 219.8 219.8 217.1 215.8 223.8 228.5 216.5 234.6 244.6 235.9 242.6 227.9 229.2 226.5 247.3 237.2 250.6 259.4 254.7 262.7 251.3 251.3 251.3 250 231.2 231.9 228.5 229.9 241.3 247.3 107.4 107.4 105.4 105.4 105.9 103.4 106.7 110.2 110.7 114.9 116.4 119.6 118.6 117.4 114.2 112.2 113.7 114.4 116.4 116.4 117.4 116.4 115.2 118.9 119.9 119.9 120.1 119.1 119.4 119.4 118.9 116.1 116.1 117.9 116.1 119.6 116.9 116.1 111.7 109.2 111.2 112.2 116.1 117.4 119.1 119.4 112.9 110.9 112.4 111.7 4856.1 4842.1 4463.2 4375.4 4308.8 4230.9 4175.4 4164.9 4017.5 4053 4206.7 4283.9 4319.6 4452.6 4397.9 4469.8 4418.9 4616.5 4533.3 4603.2 4604.9 4580.7 4614 4573.3 4795.8 4782.1 4815.4 4806 4850.2 4977.2 5210.5 5009.1 5105.6 5143.5 5279.6 5437.2 5594.4 5568.1 5366 5261.1 5330.5 5351.6 4939.3 4988.4 5009.8 5444.9 5466.7 5519.3 5605.6 5540.3 1772.3 1762.9 1712.7 1646.8 1631.1 1775.4 1894.6 1863.3 2010.7 2120.5 1998.1 2038.9 2073.4 2173.8 2274.2 2274.2 2258.5 2164.4 2274.2 2189.5 2032.6 2013.8 2060.9 2064 2220.9 2233.4 2358.9 2315 2362 2362 2462.4 2421.6 2465.5 2415.3 2336.9 2315 2123.6 2129.9 2214.6 2189.5 2255.4 2170.7 2239.7 2242.8 2264.8 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GROUPGWA GROUP OZ MINERALS INDEPENDENCE ORICA GROUP 257217 263116 871048 923178 916763 316803 992631 15113Q 904660 441.7 2007.5 3902.6 1447.1 99.6 255.1 725.5 1225.4 3030.5 446.9 2064.1 3779.5 1499.9 107.2 244.2 718.6 1241.1 3025.5 481.1 2060.3 3775.4 1449.6 107.8 242.5 806.1 1268.7 3020.4 491.4 2128.2 3781.9 1497.4 106.6 255.9 847.6 1296.3 3025.5 480 2041.4 3798.3 1575.3 105.7 254.2 824.6 1264.8 2956.9 472.6 1886.7 3694.1 1525 105.4 243.3 762.4 1323.9 2931.5 496 1984.8 3781.9 1565.2 107.8 262.6 882.2 1591.8 3034.3 512.6 2045.2 3937 1449.6 107.5 245.9 896 1646.9 3083.9 511.4 2165.9 4217.7 1469.7 108.1 251.7 879.8 1658.8 3053.4 515.4 2143.3 4438.5 1457.2 109.8 251.7 889.1 1670.6 3078.8 517.1 2079.2 4383.5 1401.9 108.7 240.8 808.4 1599.7 2978.5 526.3 2105.6 4391.7 1432 108.4 251.7 762.4 1627.2 2875.6 503.4 2324.4 4373.7 1366.7 106 244.2 767 1528.7 2720.6 503.4 2482.9 4267.8 1308.9 108.1 243.3 868.3 1576 2724.4 508.6 2252.7 4372 1336.6 110.4 245 866 1572.1 2774 508 2237.6 4392.5 1341.6 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2159.8 2079 1966.6 1967.3 1943 1935.1 1967.3 1951.5 1941.7 Energy Basic Materials Financials Consumer Cyclicals Financials Financials Consumer Non-Cyclicals Financials Financials Energy - Fossil Chemicals Fuels Banking & Investment Retailers Services Banking & Investment Banking & Investment Services Personal & Services Household Insurance Products Insurance& Services Oil & Gas Exploration Diversifiedand Chemicals Investment Production Apparel Management & Accessories Wealth & Fund Management Operators Retailers Wealth Management Funeral Services Property & Casualty Life Insurance Insurance OIL SEARCHINCITEC PIVOT PERPETUALPREMIER INVESTMENT AMP IOOF HOLDINGS INVOCARE QBE INSURANCE CHALLENGER GROUP 905747 27315K 998066 502192 675492 27952T 28047X 930388 879286 8142.6 414.8 877.5 455.6 28 226.3 587.2 5082.3 364.7 8152.7 419.4 878 452.2 28.2 226 586.7 5201.5 371.2 8072.3 436.5 856.5 438.3 28.2 224.7 581.4 5099.9 364.7 8243 450.4 897.6 428.3 28.5 231.3 581.4 5175 368.8 8283.2 438 881.3 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