Question 24 1 pts A regression between values of the average annual salary in thousands of dollars (x) and the food expenses percentage (y) in seven regions of a country resulted in the following regression equation: y = 76.9 - 0.346x We know: n = 7, Sxx = 240.34, _ _ x; - 384.3, x = 54.9, 62= 40.34 What is the 95% confidence interval on the slope of the regression line? ta,v TABLE V Percentage Points ta, of the t Distribution .40 25 10 05 025 01 005 .0025 .001 0005 1 325 1.000 3.078 6.314 12.706 31.821 63.657 127.32 318.31 636.62 .289 .816 1.886 2.920 4.303 6.965 9.925 14.089 23.326 31.598 A W N 277 .765 1.638 2.353 3.182 4.541 5.841 7.45 10.213 12.924 .271 .741 1.532 2.132 2.776 3.747 4.604 5.598 7.173 8.610 .267 727 1.476 2.015 2.571 3.365 4.032 4.773 5.893 6.86 265 718 1.440 1.943 2.447 3.143 3.707 4.317 5.208 5.959 .263 .711 1.415 1.895 2.36 2.998 3.499 4.029 4.785 5.408 .262 .706 1.397 1.860 2.306 2.896 3.355 3.833 4.50 5.041 .261 .703 1.383 1.833 2.262 2.821 3.250 3.690 4.297 4.781 10 .260 .700 1.372 1.812 2.228 2.764 3.169 3.581 4.144 4.587 11 260 697 1.363 1.796 2.201 2.718 3.106 3.497 4.025 4.437 .259 695 1.356 1.782 2.17 2.68 3.055 3.428 3.930 4.318 .259 694 1.350 1.77 2.160 2.650 3.012 3.372 3.852 1.221 .258 692 1.34 1.761 2.145 2.624 2.977 3.326 3.787 4.140 .258 691 1.34 1.753 2.131 2.602 2.947 3.28 3.733 4.073 16 .258 690 1.337 1.746 2.120 2.583 2.921 3.252 3.686 4.015 17 257 689 1.333 1.740 2.1 10 2.567 2.898 3.222 3.646 3.96 18 .257 688 .330 1.734 2.101 2.552 2.878 3.197 3.610 3.92240 .25 .10 025 .01 005 0025 001 0005 .325 1.000 3.078 6.314 12.706 31.821 63.657 127.32 318.31 636.62 W N - .289 .816 1.886 2.920 4.303 6.965 9.925 14.089 23.326 31.598 .277 .765 1.638 2.353 3.182 4.54 5.841 7.453 10.213 12.924 271 .741 1.533 2.132 2.776 3.747 4.604 5.598 7.173 8.610 .267 727 1.476 2.015 2.571 3.365 4.032 .773 5.893 5.869 265 718 1.440 1.943 2.447 3.143 3.707 .317 5.208 5.959 263 711 1.415 1.895 2.365 2.998 3.499 4.029 4.785 5.408 262 706 1.397 1.860 2.306 2.896 3.355 3.833 4.501 5.041 .261 703 1.383 1.833 2.262 2.821 3.250 3.690 4.297 4.781 .260 700 1.372 1.812 2.228 2.764. 3.169 3.581 .144 1.587 260 697 1.363 1.796 2.201 2.718 3.106 3.497 4.025 4.437 259 695 1.356 1.782 2.179 2.681 3.055 3.428 3.930 4.318 259 694 1.350 1.77 2.160 2.650 3.012 3.372 3.852 4.221 258 692 1.345 1.761 2.145 2.624 2.977 3.326 3.787 4.140 258 691 1.341 1.753 2.131 2.602 2.947 3.286 3.733. 4.073 258 690 1.337 1.746 2.120 2.583 2.921 3.252 3.686 4.015 .257 689 1.333 1.740 2.110 2.56 2.898 3.222 3.646 3.965 .257 688 1.330 1.734 2.101 2.552 2.878 3.197 3.610 3.922 19 .257 688 1.328 1.729 2.093 2.539 2.861 3.174 3.579 3.883 20 .257 687 1.325 1.725 2.086 2.528 2.845 3.153 3.552 3.850 21 .257 686 1.323 1.721 2.080 2:518 2.831 3.135 3.527 3.819 .256 686 1.321 1.717 2.074 2.508 2.819 3.119 3.505 3.792 23 256 685 1.319 1.714 2.069 2.500 2.807 3.104 3.485 3.767 24 256 685 1.318. 1.711 2.064 2.492 2.797 3.091 3.467 3.745 25 .256 684 1.316 1.708 2.060 2.485 2.787 3.078 3.450 3.725 O -0.346 - 1.943 (0.41)
