Consider the set of ordered pairs shown below. Assuming that the regression equation is y=3.077+0.243x and the SSE=8.299?, construct a?95% confidence interval for x=6.

Consider the set of ordered pairs shown below. Assuming that the regression equation is y = 3.077 + 0.243x and the SSE = 8.299, construct a 95% confidence interval for x = 6. X 12 8 1 4 4 y 4 5 3 6 2 i Probabilities under the t-distribution Curve - X Click the icon to view a portion of the student's t-distribution table. Calculate the upper and lower limits of the confidence interval. UCL = I Tail 0.200 0.100 0.050 0.025 0.010 0,005 LCL = 2 Tail 0.400 0.200 0.100 0.050 0.020 0,010 Conf Lev 0.600 0.800 (Round to three decimal places as needed.) 0.900 0950 0.980 0.990 1 1.376 3.078 6314 12.706 31.821 63.657 1.061 1.886 2920 4.303 6.965 9,925 0.978 1.638 2 353 3.182 4.541 5.841 0.941 1.533 2132 2.776 3.747 4.604 0.920 1.476 2015 2.571 3.365 4,032 0.906 1.440 1.943 2447 3.143 3.707 0.896 1.415 1.895 2 365 2.998 3.499 0.889 1.397 1.860 2 306 2.896 3,355 0.883 1.383 1.833 2 262 2.821 3.250 0.879 1.372 1.812 2.228 2.764 3.169 0.876 1.363 1.796 2.201 2.718 3.106 0.873 1.356 1.782 2.179 2.681 3.055 0.870 1.350 1.771 2.160 2.650 3.012 0.866 1.341 1.753 2.131 2.602 2.947 0.865 1.337 1.746 2.120 2.583 2.921 0.863 1.333 1.740 2.110 2.567 2.898 0.862 1.330 1.734 2.101 2.532 2.878 0.861 1.328 1.729 2093 2.539 2.861 20 0.860 1.325 1.725 2086 2.528 2.845 21 0.859 1.323 1.721 2.080 2.518 2.831 22 0.858 1.321 1.717 2 074 2.508 2.819 23 0.858 1.319 1.714 2 069 2.500 2.807 24 0.857 1.318 Enter your answer in the edit fields and then click Check Answer. 1.711 2 064 2.492 2.797 25 0.856 1.316 1.708 2 060 2.485 2.787