Consider the following set of dependent and independent variables. Use this data to complete parts a and b below.
a) Construct a 95% confidence interval for the regression coefficient for x, and interpret its meaning. The 95% confidence interval for the true population coefficient B, is to (Round to three decimal places as needed.) Interpret the meaning of this confidence interval. Choose the correct answer below. O A. Since the confidence interval does not include 0, there is sufficient evidence that B, is not 0, which indicates that there is a relationship between x, and y. O B. Since the confidence interval includes 0, there is sufficient evidence that B, is not 0, which indicates that there is a relationship between x, and y. O C. Since the confidence interval includes 0, there is insufficient evidence that B, is not 0, which indicates that there is not a relationship between x, and y. O D. Since the confidence interval does not include 0, there is insufficient evidence that B, is not 0, which indicates that there is not a relationship between x, and y. b) Construct a 95% confidence interval for the regression coefficient for x2 and interpret its meaning The 95% confidence interval for the true population coefficient B2 is to (Round to three decimal places as needed.) Interpret the meaning of this confidence interval. Choose the correct answer below. A. Since the confidence interval includes 0, there is sufficient evidence that , is not 0, which indicates that there is a relationship between x2 and y. O B. Since the confidence interval does not include 0, there is insufficient evidence that , is not 0, which indicates that there is not a relationship between x, and y. O C. Since the confidence interval includes 0, there is insufficient evidence that , is not 0, which indicates that there is not a relationship between x, and y. O D. Since the confidence interval does not include 0, there is sufficient evidence that B, is not 0, which indicates that there is a relationship between x2 and y.A B C D E F G 1 Tail 0.2 0.1 0.05 0.025 0.01 0.005 2 Tail 0.4 0.2 0.1 0.05 0.02 0.01 Conf Lev 0.6 0.8 0.9 0.95 0.98 0.99 df un 1.376 3.078 6.314 12.706 31.821 63.657 1.061 1.886 2.92 4.303 5.965 9.925 WIN 0.978 1.638 2.353 3.182 4.541 5.841 CO 0.941 1.533 2.132 2.776 3.747 4.604 LD 5 0.92 1.476 2.015 2.571 3.365 4.032 10 0.906 1.44 1.943 2.447 3.143 3.707 11 0.896 1.415 1.895 2.365 2.998 3.499 12 CO 0.889 1.397 1.86 2.306 2.896 3.355 13 9 0.883 1.383 1.833 2.262 2.821 3.25 14 10 0.879 1.372 1.812 2.228 2.764 3.169 15 11 0.876 1.363 1.796 2.201 2.718 3.106 16 12 0.873 1.356 1.782 2.179 2.681 3.055 17 13 0.87 1.35 1.771 2.16 2.65 3.012 18 14 0.868 1.345 1.761 2.145 2.624 2.977 19 15 0.866 1.341 1.753 2.131 2.602 2.947 20 16 0.865 1.337 1.746 2.12 2.583 2.921 21 17 0.863 1.333 1.74 2.11 2.567 2.898 22 18 0.862 1.33 1.734 2.101 2.552 2.878 23 19 0.861 1.328 1.729 2.093 2.539 2.861 24 20 0.86 1.325 1.725 2.086 2.528 2.845 25 21 0.859 1.323 1.721 2.08 2.518 2.831 26 22 0.858 1.321 1.717 2.074 2.508 2.819 27 23 0.858 1.319 1.714 2.069 2.5 2.807 28 24 0.857 1.318 1.711 2.064 2.492 2.797 29 25 0.856 1.316 1.708 2.06 2.485 2.787 30 26 0.856 1.315 1.706 2.056 2.479 2.779
