A regression model to predictY, the state burglary rate per 100,000 people for 2005, used the following four state predictors:X1= median age in 2005,X2= number of 2005 bankruptcies,X3= 2004 federal expenditures per capita (aleadingpredictor), andX4= 2005 high school graduation percentage.
(a)Fill in the values in the table given here for a two-tailed test at= 0.01 with 40 d.f.(Negative values should be indicated by a minus sign. Leave no cells blank - be certain to enter "0" wherever required.Round your t-values to 3 decimal places and p-values to4 decimal places.)
Predictor Coefficient SE tcalc p-value
Intercept 4,459.7813 797.7352 ? ?
AgeMed -26.190 12.3168 ? ?
Bankrupt 16.9037 12.6186 ? ?
FedSpend -0.0155 0.0133 ? ?
HSGrad% -30.9882 7.1255 ? ?
(b-1)What is the critical value of Student'stinAppendix D (listed at the bottom)for a two-tailed test at= .01 with 40 d.f?(Round your answer to 3 decimal places.)
t-value = ?
APPENDIX D STUDENT'S & CRITICAL VALUES This table shows the t-value that defines the area for the stated degrees of freedom (d,f.). Confidence Level Confidence Level .80 .90 .95 .98 .99 .80 .90 .95 .98 .99 Significance Level for Two-Tailed Test Significance Level for Two-Tailed Test .20 .10 .05 .02 .01 .20 .10 .05 .02 .01 Significance Level for One-Tailed Test Significance Level for One-Tailed Test d.f. .10 .05 .025 .01 .005 d.f. .10 .05 .025 .01 .005 1 3.078 6.314 12.706 31.821 63.657 36 1.306 1.688 2.028 2.434 2.719 2 1.886 2.920 4.303 6.965 9.925 37 1.305 1.687 2.026 2.431 2.715 3 1.638 2.353 3.182 4.541 5.841 38 1.304 1.686 2.024 2.429 2.712 4 1.533 2.132 2.776 3.747 4.604 39 1.304 1.685 2.023 2.426 2.708 5 1.476 2.015 2.571 3.365 4.032 40 1.303 1.684 2.021 2.423 2.704 6 1.440 1.943 2.447 3.143 3.707 41 1.303 1.683 2.020 2.421 2.701 7 1.415 1.895 2.365 2.998 3.499 42 1.302 1.682 2.018 2.418 2.698 8 1.397 1.860 2.306 2.896 3.355 43 1.302 1.681 2.017 2.416 2.695 9 1.383 1.833 2.262 2.821 3.250 44 1.301 1.680 2.015 2.414 2.692 10 1.372 1.812 2.228 2.764 3.169 45 1.301 1.679 2.014 2.412 2.690 11 1.363 1.796 2.201 2.718 3.106 46 1.300 1.679 2.013 2.410 2.687 12 1.356 1.782 2.179 2.681 3.055 47 1.300 1.678 2.012 2.408 2.685 13 1.350 1.771 2.160 2.650 3.012 48 1.299 1.677 2.011 2.407 2.682 14 1.345 1.761 2.145 2.624 2.977 49 1.299 1.677 2.010 2.405 2.680 15 1.341 1.753 2.131 2.602 2.947 50 1.299 1.676 2.009 2.403 2.678 16 1.337 1.746 2.120 2.583 2.921 55 1.297 1.673 2.004 2.396 2.668 17 1.333 1.740 2.110 2.567 2.898 60 1.296 1.671 2.000 2.390 2.660 18 1.330 1.734 2.101 2.552 2.878 65 1.295 1.669 1.997 2.385 2.654 19 1.328 1.729 2.093 2.539 2.861 70 1.294 1.667 1.994 2.381 2.648 1.325 1.725 2.086 2.528 2.845 75 1.293 1.665 1.992 2.377 2.643 21 1.323 1.721 2.080 2.518 2.831 80 1.292 1.664 1.990 2.374 2.639 1.321 1.717 2.074 2.508 2.819 85 1.292 1.663 1.988 2.371 2.635 23 1.319 1.714 2.069 2.500 2.807 90 1.291 1.662 1.987 2.368 2.632 24 1.318 1.711 2.064 2.492 2.797 95 1.291 1.661 1.985 2.366 2.629 25 1.316 1.708 2.060 2.485 2.787 100 1.290 1.660 1.984 2.364 2.626 26 1.315 1.706 2.056 2.479 2.779 110 1.289 1.659 1.982 2.361 2.621 27 1.314 1.703 2.052 2.473 2.771 120 1.289 1.658 1.980 2.358 2.617 28 1.313 1.701 2.048 2.467 2.763 130 1.657 1.978 2.355 2.614 29 1.311 1.699 2.045 2.462 2.756 140 1.288 1.656 1.977 2.353 2.611 30 1.310 1.697 2.042 2.457 2.750 150 1.287 1.655 1.976 2.351 2.609 31 1.309 1.696 2.040 2.453 2.744 1.282 1.645 1.960 2.326 2.576 32 1.309 1.694 2.037 2.449 2.738 33 1.308 1.692 2.035 2.445 2.733 34 1.307 1.691 2.032 2.441 2.728 35 1.306 1.690 2.030 2.438 2.724 Noter As i increases, critical values of Student's f approach the z-values in the last line of this table. A common rule of thumb is to use z when is go, but that is not conservative
