ESSENTIALS OF ECONOMETRICS. 3d edition CORRECTIONS NOTE: The data disk and the Solutions Manual reflect the corrections noted below PAGE# CORRECTION 2 Drop I from the title Review of Statistics I 2 Footnote #2: Degrees of belief Question 2. 4(b)(ii) E3+ A3 instead of E2+ A3 Problem 2. 19(a)P(<0.5)instead ofP(r<5) Table 3-3. Sample var(n should be 368, 871 instead of 368, 872 Problem 3. 13(e) Add after the word variable Problem 4.25: Hint: In the definition of variance of x. all the x terms should be capital letters 135 Table 6-1: In the last row the last but one mean value should be 33.00 instead of 33.0 149 The last column should be∑ e.x. instead of∑ex Eg 6.24 should read as: 15.5784+2606.4240(1/X,) Eq. 6.25 should read as: Y,=902.1917-69.3493X 153 Table 6-6: The time period is 1988-2003 not 1994-2003 Eq(6.26)should read as: Y,=393.0586-23.3766X 162 Table 6-11: In the column Employed, the entry for Wharton is 73.7 instead of 73.3 and the entry for University of Califomia at Irvine 46.4 instead of 61.5 The standard error of the intercept term is 3.0523 and not 3.053 20 Question73(∑y ∑y2 206 Problem 7. 17t= time instead of times 207 Table 7-6: The source for Table B-27 is p. 339 instead of p. 333 215 Equation( 8.21)in the numerator the first term should read as ∑yx, instead of∑y2x 236 Eq(8.62)it is CLFPR, instead of CLPRI 239 Last column it is two-tail instead of two-sided The 1969 entry for final demand is 83.8 instead of 83.3 260 It is In(USpop) instead of In( Uspop) 273 Notes to Table 9-9. All deaths are per 100,000 persons and not per thousand population 275 Equation(9. 39) should read as: I,=-3960(x-3) t=(-8.7413)
1 ESSENTIALS OF ECONOMETRICS, 3d edition CORRECTIONS NOTE: The data disk and the Solutions Manual reflect the corrections noted below. PAGE # CORRECTION 21 Drop I from the title Review of Statistics I 28 Footnote #2: Degrees of belief 46 Question 2.4 (b) (ii) E3 + A3 instead of E2 + A3 49 Problem 2.19 (a) P(y < 0.5) instead of P (Y < 5) 70 Table 3-3. Sample var (Y) should be 368,871 instead of 368,872 76 Problem 3.l3 (e) Add ? after the word variable 102 Problem 4.25: Hint: In the definition of variance of X − , all the x terms should be capital letters. 135 Table 6-1: In the last row the last but one mean value should be 33.00 instead of 33.0. 149 The last column should be i i eX instead of i i ex . 152 Eq. 6.24 should read as: 15.5784 2606.4240(1/ ) Y X t t = − + 152 Eq. 6.25 should read as: 902.1917 69.3493 Y X t t = − 153 Table 6-6: The time period is 1988-2003 not 1994-2003. 154 Eq. (6.26) should read as: Yt = 393.0586 23.3766 − Xt 162 Table 6-11: In the column % Employed, the entry for Wharton is 73.7 instead of 73.3 and the entry for University of California at Irvine is 46.4 instead of 61.5. 173 The standard error of the intercept term is 3.0523 and not 3.0532. 201 Question 7.3(i) 2 i y instead of 2 2 y . 206 Problem 7.17 t = time instead of times. 207 Table 7-6: The source for Table B-27 is p. 339 instead of p. 333. 215 Equation (8.21) in the numerator the first term should read as t t 2 y x instead of 2 2 t t y x . 236 Eq. (8.62) it is CLFPRt instead of CLPRt. 239 Last column it is two-tail instead of two-sided. 257 The 1969 entry for final demand is 83.8 instead of 83.3. 260 It is ln(USpop) instead of ln(Uspop). 273 Notes to Table 9-9. All deaths are per 100,000 persons and not per thousand population. 275 Equation (9.39) should read as: 0.3960( 3) ( 8.7413) Y X t t t = − − = −
Equation(9.40)should read as X=0.0574-0.3986(X-3) t=(0.5828)(-86538)r2=0.7350 284 Table 9.14: It is M2 instead of M 299 Sec. 10.3, second paragraph it is 1985 instead of 1951 300 In the title of Table 10-4. it is 1985 and not 1951 300 D2 and D3 numbers for DE(Delaware) should be 0 and 1, respectively Equation(10.16): The coefficient for D2i is.473, the t value for the intercept is 23. 179, and the p value for D3i is 0.0344 Drop the second COMm and after the equal sign it should read 0 otherwise instead ofo if otherwise 309 In the footnote it should read Sample 1-12 instead of Sample 112 310 Table 10-7 title It is United not Unites 312 Example 10.5: Second paragraph, second line: It is billions of 1982 dollars and not billions 1992 dollars 312 Second paragraph below Example 10.5. In the second line drop the words: and durable goods expenditure(billions of 1992 dollars) 315 Section 10.7. Second paragraph. It should be European Union and not European Community 319 In the table NMfi stands for Neighborhood mean family income(10 dollars) n the footnotes to the table. it is nntp and not nnwpp 325 Problem 10.10(d): At the end of the first sentence, replace? by period 328 Problem 10. 19(d) In the last sentence replace the period by? Problem 10.25, part c should read: If you do not expect the dummy variables to be statistically significant, but you still include them in your model, what are the consequences of your action? Z2:=antilog(In r-Y) 55 Replace Table 1 1-4 by the following table Variable Coefficient std. error t-Statistic Prob 3535265659661-4.158422 0.0007 LOG(X) 3.8704380.7697255.028340 0.0001 -0.0506040.020857242626500274 7.95E+49991E+490802574 0.4340 R-squared 0.968905 F-statistic 166.1834 Notes: Dependent variable: LOG(Y) The Z, coefficient and its standard error are shown in scientific notation Table 11-6: Notes: X2= Labor input, thousands of persons 358 Table 11-6: Source It is table vii and not table ii 359 Problem 11.11(6): In Y=CI+C2In X2, +v 359 Table 11-7: In the title of the table the time period is 1954-1981 and not1954-1967 360 Table 1 1-8: In the title of the table the time period is 1960-1982
2 Equation (9.40) should read as: 2 0.0574 0.3986( 3) (0.5828) ( 8.6538) 0.7350 Y X t t t r = − − = − = 284 Table 9.14:It is M2 instead of M2. 299 Sec. 10.3, second paragraph it is 1985 instead of 1951. 300 In the title of Table 10-4, it is 1985 and not 1951. 300 D2 and D3 numbers for DE (Delaware) should be 0 and 1, respectively. 301 Equation (10.16): The coefficient for D2i is -1734.473, the t value for the intercept is 23.179, and the p value for D3i is 0.0344. 306 Drop the second COMM and after the equal sign it should read 0 otherwise instead of 0 if otherwise. 309 In the footnote it should read Sample 1-12 instead of Sample 112. 310 Table 10-7 title: It is United not Unites 312 Example 10.5: Second paragraph, second line: It is billions of 1982 dollars and not billions 1992 dollars. 312 Second paragraph below Example 10.5. In the second line drop the words: and durable goods expenditure (billions of 1992 dollars) 315 Section 10.7. Second paragraph. It should be European Union and not European Community. 319 In the table NMFI stands for Neighborhood mean family income (105 dollars) 319 In the footnotes to the table, it is NNWP and not NNWPP. 325 Problem 10.10 (d): At the end of the first sentence, replace ? by period. 328 Problem 10.19 (d): In the last sentence replace the period by ? 331 Problem 10.25, part c should read: If you do not expect the dummy variables to be statistically significant, but you still include them in your model, what are the consequences of your action? 352 Step 5 should read: 2 antilog( ln ) Z Y Y i i = − 353 Replace Table 11-4 by the following table: Variable Coefficient Std. Error t-Statistic Prob. C -23.53526 5.659661 -4.158422 0.0007 LOG(X) 3.870438 0.769725 5.028340 0.0001 TIME -0.050604 0.020857 -2.426265 0.0274 Z2 7.95E+49 9.91E+49 0.802574 0.4340 R-squared 0.968905 F-statistic 166.1834 Notes: Dependent variable: LOG(Y) The Z2 coefficient and its standard error are shown in scientific notation. 358 Table 11-6: Notes: X2 = Labor input, thousands of persons. 358 Table 11-6: Source: It is Table VII and not Table II. 359 Problem 11.11 (b): 1 2 2 ln ln Y C C X v t t t = + + 359 Table 11-7: In the title of the table the time period is 1954-1981 and not 1954-1967. 360 Table 11-8: In the title of the table the time period is 1960-1982
and not1960-1971 360 Part (a): Model C: It is C, In Xsu-nand not C, In X3r-ll Problem 11.19: It should be Ruben Hernandez-Murillo 362 Part( d): Second line, drop or before smaller student/teacher ratio 369 Section 12.4(1): Large variances and standard errors In the paragraph below equation( 12. 19) it is Table 12-4 and not Table 12-5 38 Question 12.5: The sentence should end with a period rather than a question mark 395 Replace Equation(13. 3)by the following equation R&D=266917+0.0309saks se=(1002.961)(0.00834) t=(0.2654)(3.6996) 0.4610 395 Replace the equation in Figure 13-3 by the corrected equation(13.3) The corrected Figure 13-4 is shown at the end 402 There should be only 18 data points in Figure 13-7. The corrected figure is shown at the end 402 Second paragraph below Figure 13-7. This figure resembles Figure 13-6(b 403 Replace Equation(13.6) by the following equation ne2=34118+0.9377 In Sales (4.9725)(0.4520) (0.6861)(2.0745) r2=02120 The sentence below Equation(13.6)should read The estimated slope coefficient is barely significant at the 5% level, if we choose a 5% level of significance 404 Replace Equations(13. 10),(13. 11), and(13 12) by the following I equations. e|=573.4053+0.0124 Sales (13.10) t=(0.8511)(2.2127 r2=02343 e,|=-528336+8.1747√Saes (13.11) (-0.5209)(24483) 0.2725 lel=23156584-1986263521/ (13.12) Sales t=(3.7871)(-1.5946) r2=0.1371 404 The sentence below Equation(13. 12)should read On the basis of the Glejser test, we see that models(13. 10) and(13. 11) lead to the rejection of the null hypothesis of no heteroscedasticity, whereas (13. 12)does not 406 Equation(1316)should read as follows
3 and not 1960-1971. 360 Part (a): Model C: It is 4 3( 1) 4 (3 1) ln ln . C X and not C X t t − − 361 Problem 11.19: It should be Rubén Hernández-Murillo 362 Part (d) : Second line, drop or before smaller student/teacher ratio. 369 Section 12.4 (1): Large variances and standard errors 382 In the paragraph below equation (12.19) it is Table 12-4 and not Table 12-5. 386 Question 12.5: The sentence should end with a period rather than a question mark. 395 Replace Equation (13.3) by the following equation: i R & ˆ D = 266.1917 + 0.0309 Salesi se = (1002.961) (0.00834) t = (0.2654) (3.6996) 2 r = 0.4610 395 Replace the equation in Figure 13-3 by the corrected equation (13.3). 396 The corrected Figure 13-4 is shown at the end. 402 There should be only 18 data points in Figure 13-7.The corrected figure is shown at the end. 402 Second paragraph below Figure 13-7. This figure resembles Figure 13-6(b). 403 Replace Equation (13.6) by the following equation: ln 2 i e =3.4118 + 0.9377 ln Salesi se = (4.9725) (0.4520) t= (0.6861) (2.0745) 2 r = 0.2120 403 The sentence below Equation (13.6) should read: The estimated slope coefficient is barely significant at the 5% level, if we choose a 5% level of significance. 404 Replace Equations (13.10), (13.11), and (13.12) by the following ] equations: | i e | = 573.4053 + 0.0124 Salesi (13.10) t = (0.8511) (2.2127) 2 r = 0.2343 | i e | = -522.8336 + 8.1747 Salesi (13.11) t = (-0.5209) (2.4483) 2 r = 0.2725 | i e | = 2315.6584 – 19862635.21 Salesi 1 (13.12) t = (3.7871) (–1.5946) 2 r = 0.1371 404 The sentence below Equation (13.12) should read: On the basis of the Glejser test, we see that models (13.10) and (13.11) lead to the rejection of the null hypothesis of no heteroscedasticity, whereas (13.12) does not. 406 Equation (13.16) should read as follows:
Y=1969790-00033X2-1.4013Xy se=(21.7282)(0.0010)(0.2466) t=(90656)(-32249)(-56815) R2=0.8024 R2=0.7792 The p values shown in the text are correct Replace Equation(13. 30)by the following equation Inr&D. =-7 2822+1.3144 In Sales Se=(18615)(0.1692) t=(-3.9120)(77674 r2=0.7904 423 Table 13-4: The column of Average productivity: The last figure should be 11, 754 instead of 11, 750 424 Problem 13. 19: The R2 value should be 0.23 instead of 0.30 445 Table 14-4. The p shown in the title of the table is 0. 8713 and not 8713 494 Table 16-2. In the title it is macroeconomic not macroeconomics n the footnote to the table it is dividend not d ividends n the last sentence before sec. 16.6 it is lookout and not look out 512 In the table the last number in the first row should be 0.120
4 Yi ˆ = 196.9790 – 0.0033 X 2i – 1.4013 X3i se = (21.7282) (0.0010) (0.2466) t = (9.0656) (–3.2249) (–5.6815) 2 R = 0.8024 2 R = 0.7792 The p values shown in the text are correct. 413 Replace Equation (13.30) by the following equation: ln i R & ˆ D = –7.2822 + 1.3144 ln Salesi se = (1.8615) (0.1692) t = (–3.9120) (7.7674) 2 r = 0.7904 423 Table 13-4: The column of Average productivity: The last figure should be 11,754 instead of 11,750. 424 Problem 13.19: The R 2 value should be 0.23 instead of 0.30. 445 Table 14-4. The shown in the title of the table is 0.8713 and not 8713. 494 Table 16-2. In the title it is Macroeconomic not macroeconomics. 495 In the footnote to the table it is dividend not dividends. 501 In the last sentence before Sec. 16.6 it is lookout and not look out. 512 In the table the last number in the first row should be 0.120
0 Figure 13-4
5 Figure 13-4
s le al 5 7
6 Figure 13-7
