Question
Section 5 - Correlation/Regression Analysis. a. Construct a linear regression model with Age as the predictor variable and FEV1 as the response variable. State the
Section 5 - Correlation/Regression Analysis. a. Construct a linear regression model with Age as the predictor variable and FEV1 as the response variable. State the equation in the incorrectleast-squaresis a correct algebraic format as shown in the course notes. b. construct a scatter plot of the data with a plot of the least squares line included. (StatCrunch should have generated this plot when you calculated the model in 5a.) The plot must include an informative title and correct labels for both axes. c. Use the coefficient of determination to identify the percentage of the variation in FEV1 explained by the variation in Age.
d. Identify all likely influential points (Cook's Distance greater than 1.0). If any exist, list them as ordered pairs in the form (Age, FEV1). If none exist, say so. e. Conduct a formal hypothesis test at = 0.05 to determine if there is sufficient evidence of correlation between FEV1 and Age. Include the following: 1) The p-value and its logical relationship to ( or >). 2) Your decision regarding the nitthe ull hypothesis: reject or fail to reject. 3) A statement regarding the sufficiency of the evidence for a linear relationship between FEV1 and Age. f. State whether the equation in 5a satisfies the following LINE criteria: Linear Relationship (L): Using the scatterplot with fitted line, determine if a linear model is appropriate based on the model's visual fit to the data. Independent Residuals (I): Include a statement that the residuals are assumed to be independent. Normally-Distributed Residuals (N): Determine if the residuals fit a normal
Can give my statcrunch account infor
Age | FEV1 |
9 | 2.259 |
8 | 2.531 |
15 | 2.887 |
11 | 2.578 |
10 | 3.329 |
11 | 3.847 |
10 | 2.813 |
15 | 2.278 |
9 | 2.65 |
10 | 2.561 |
5 | 2.017 |
11 | 3.058 |
7 | 1.72 |
8 | 2.631 |
7 | 1.649 |
8 | 1.744 |
9 | 2.85 |
11 | 3.774 |
13 | 3.078 |
12 | 2.304 |
9 | 3 |
7 | 1.415 |
10 | 2.175 |
14 | 3.074 |
11 | 2.957 |
7 | 1.253 |
9 | 2.57 |
13 | 3.141 |
13 | 3.193 |
14 | 2.276 |
12 | 2.913 |
14 | 4.683 |
17 | 5.638 |
11 | 3.011 |
12 | 3.001 |
4 | 1.004 |
8 | 1.429 |
15 | 3.122 |
13 | 3.745 |
8 | 2.335 |
8 | 2.341 |
10 | 3.048 |
7 | 2.55 |
9 | 1.773 |
11 | 2.827 |
8 | 2.639 |
10 | 2.356 |
14 | 3.78 |
11 | 3.369 |
10 | 2.201 |
10 | 2.358 |
10 | 2.481 |
15 | 4.279 |
12 | 2.556 |
8 | 2.336 |
11 | 2.123 |
5 | 1.536 |
8 | 2.258 |
10 | 3.166 |
11 | 2.081 |
6 | 2.262 |
9 | 2.32 |
11 | 2.822 |
9 | 2.851 |
5 | 1.589 |
7 | 2.056 |
16 | 2.903 |
5 | 1.092 |
6 | 1.527 |
5 | 2.115 |
9 | 2.457 |
13 | 2.434 |
9 | 1.886 |
10 | 2.365 |
9 | 2.048 |
9 | 3.016 |
9 | 3.135 |
9 | 2.119 |
9 | 1.754 |
14 | 4.309 |
14 | 3.395 |
8 | 1.844 |
12 | 2.841 |
12 | 3.835 |
9 | 2.717 |
6 | 1.523 |
15 | 3.004 |
9 | 3.029 |
11 | 2.501 |
5 | 1.858 |
17 | 3.406 |
12 | 2.332 |
15 | 3.33 |
10 | 3.038 |
11 | 3.111 |
6 | 1.634 |
6 | 1.572 |
12 | 2.868 |
7 | 1.612 |
12 | 2.822 |
8 | 2.435 |
14 | 2.891 |
13 | 3.984 |
5 | 1.282 |
4 | 1.102 |
12 | 2.241 |
16 | 2.795 |
10 | 2.246 |
9 | 2.076 |
12 | 3.751 |
9 | 1.969 |
11 | 3.022 |
10 | 3.456 |
14 | 4.842 |
8 | 2.328 |
11 | 2.993 |
10 | 2.387 |
8 | 1.547 |
9 | 2.463 |
6 | 1.672 |
6 | 1.423 |
4 | 1.577 |
11 | 4.13 |
18 | 4.404 |
10 | 2.341 |
14 | 3.436 |
15 | 4.5 |
7 | 1.682 |
9 | 2.487 |
8 | 1.897 |
8 | 2.069 |
6 | 1.481 |
15 | 4.506 |
11 | 2.354 |
7 | 1.495 |
13 | 4.448 |
11 | 3.32 |
10 | 3.09 |
7 | 2.158 |
10 | 3.111 |
8 | 2.358 |
8 | 1.698 |
11 | 2.563 |
7 | 1.461 |
14 | 2.997 |
8 | 2.144 |
10 | 2.642 |
10 | 2.608 |
5 | 1.776 |
8 | 2.382 |
12 | 3.082 |
8 | 2.303 |
12 | 5.224 |
14 | 3.806 |
6 | 1.536 |
11 | 2.562 |
9 | 2.871 |
10 | 2.545 |
7 | 2.084 |
13 | 3.147 |
12 | 3.501 |
8 | 2.015 |
3 | 1.072 |
7 | 1.75 |
12 | 3.222 |
17 | 3.96 |
9 | 2.964 |
16 | 4.504 |
7 | 2.111 |
13 | 2.819 |
11 | 3.236 |
11 | 2.659 |
17 | 3.5 |
7 | 2.419 |
10 | 2.838 |
11 | 3.078 |
13 | 3.297 |
11 | 1.694 |
11 | 4.324 |
8 | 2.665 |
15 | 2.635 |
12 | 3.279 |
11 | 3.069 |
10 | 3.05 |
8 | 2.118 |
8 | 1.94 |
8 | 1.953 |
10 | 2.094 |
7 | 1.609 |
9 | 2.352 |
8 | 2.288 |
8 | 2.135 |
12 | 2.714 |
10 | 2.287 |
13 | 3.331 |
5 | 1.808 |
10 | 3.795 |
15 | 2.264 |
6 | 1.348 |
8 | 1.703 |
6 | 1.535 |
12 | 2.579 |
10 | 2.292 |
8 | 1.759 |
8 | 1.512 |
9 | 1.895 |
11 | 3.47 |
9 | 1.855 |
13 | 3.255 |
9 | 3.556 |
19 | 3.345 |
11 | 2.887 |
10 | 3.251 |
5 | 1.4 |
9 | 2.069 |
10 | 1.858 |
8 | 1.987 |
7 | 1.742 |
7 | 1.829 |
12 | 2.759 |
15 | 3.727 |
8 | 1.697 |
8 | 2.458 |
16 | 4.07 |
11 | 2.988 |
10 | 1.665 |
11 | 2.463 |
10 | 3.132 |
6 | 1.979 |
8 | 1.657 |
11 | 3.206 |
8 | 2.732 |
9 | 3.004 |
10 | 3.127 |
11 | 2.866 |
8 | 2.293 |
9 | 2.076 |
11 | 4.637 |
10 | 2.352 |
6 | 1.919 |
12 | 3.231 |
13 | 2.677 |
9 | 2.529 |
11 | 2.17 |
13 | 3.208 |
7 | 1.473 |
8 | 1.78 |
10 | 2.673 |
7 | 1.165 |
10 | 3.354 |
7 | 1.826 |
9 | 1.953 |
8 | 2.673 |
7 | 1.796 |
12 | 3.791 |
11 | 3.587 |
8 | 2.211 |
7 | 1.658 |
9 | 2.797 |
6 | 1.602 |
9 | 2.659 |
13 | 3.056 |
8 | 2.09 |
8 | 2.069 |
11 | 2.606 |
10 | 3.498 |
11 | 4.073 |
8 | 2.071 |
11 | 3.583 |
9 | 2.56 |
5 | 1.256 |
10 | 2.975 |
6 | 1.691 |
11 | 2.894 |
8 | 2.175 |
9 | 3.681 |
10 | 2.25 |
13 | 4.225 |
10 | 2.364 |
10 | 3.007 |
16 | 3.688 |
14 | 4.271 |
12 | 2.971 |
9 | 1.912 |
7 | 2.535 |
9 | 2.571 |
11 | 2.928 |
11 | 2.633 |
8 | 1.523 |
8 | 1.735 |
11 | 3.515 |
7 | 1.603 |
10 | 3.2 |
12 | 2.569 |
17 | 4.724 |
11 | 3.681 |
7 | 1.631 |
12 | 4.393 |
10 | 2.504 |
15 | 3.985 |
7 | 2.366 |
8 | 1.872 |
18 | 4.086 |
6 | 1.415 |
19 | 3.519 |
9 | 2.13 |
7 | 2.578 |
11 | 2.884 |
12 | 3.924 |
6 | 1.796 |
7 | 1.611 |
8 | 2.004 |
8 | 1.794 |
8 | 1.562 |
10 | 3.11 |
9 | 3.114 |
11 | 2.362 |
12 | 3.079 |
13 | 4.756 |
8 | 1.335 |
9 | 2.592 |
13 | 2.976 |
9 | 1.716 |
9 | 2.457 |
16 | 2.981 |
11 | 4.593 |
4 | 0.839 |
13 | 3.086 |
8 | 1.931 |
9 | 2.348 |
8 | 2.42 |
12 | 3.035 |
10 | 2.1 |
5 | 1.552 |
5 | 1.755 |
9 | 2.455 |
10 | 2.864 |
11 | 3.654 |
4 | 1.789 |
13 | 3.577 |
13 | 2.704 |
12 | 2.417 |
13 | 2.599 |
9 | 2.574 |
7 | 1.917 |
7 | 1.935 |
9 | 2.46 |
11 | 3.169 |
5 | 1.343 |
12 | 2.347 |
14 | 2.538 |
10 | 2.216 |
10 | 2.72 |
6 | 1.747 |
7 | 2.219 |
8 | 2.305 |
9 | 2.798 |
11 | 3.28 |
7 | 2.135 |
10 | 2.25 |
12 | 2.889 |
9 | 1.708 |
9 | 1.591 |
4 | 1.569 |
15 | 3.211 |
7 | 1.698 |
6 | 1.431 |
11 | 2.14 |
13 | 3.06 |
6 | 1.338 |
12 | 2.751 |
13 | 3.785 |
6 | 1.718 |
8 | 2.709 |
12 | 4.08 |
13 | 4.877 |
11 | 2.386 |
9 | 2.166 |
10 | 3.305 |
10 | 3.35 |
10 | 1.823 |
15 | 3.799 |
9 | 1.942 |
7 | 2.002 |
9 | 2.604 |
7 | 2.564 |
8 | 2.123 |
11 | 3.977 |
9 | 2.725 |
7 | 1.37 |
7 | 2.095 |
11 | 3.411 |
9 | 2.164 |
11 | 2.542 |
10 | 2.688 |
8 | 2.145 |
5 | 1.452 |
13 | 3.906 |
10 | 1.937 |
5 | 0.791 |
7 | 1.789 |
8 | 2.503 |
9 | 3.223 |
9 | 2.165 |
9 | 1.933 |
7 | 1.69 |
7 | 1.827 |
12 | 2.384 |
18 | 3.082 |
4 | 1.418 |
9 | 2.1 |
11 | 2.812 |
12 | 3.082 |
11 | 3.49 |
14 | 3.741 |
11 | 2.974 |
11 | 3.247 |
9 | 2.833 |
11 | 2.417 |
18 | 2.906 |
9 | 2.631 |
10 | 4.591 |
3 | 1.404 |
10 | 3.489 |
5 | 1.146 |
8 | 2.927 |
10 | 2.435 |
6 | 1.878 |
11 | 3.258 |
16 | 4.27 |
14 | 4.763 |
11 | 3.023 |
11 | 2.754 |
11 | 3.171 |
11 | 3.102 |
15 | 3.731 |
13 | 4.045 |
13 | 4.305 |
11 | 3.108 |
8 | 2.631 |
11 | 2.689 |
13 | 3.297 |
13 | 3.089 |
11 | 3.223 |
8 | 1.292 |
9 | 2.485 |
10 | 1.858 |
9 | 2.688 |
16 | 4.872 |
8 | 2.354 |
16 | 2.608 |
8 | 2.333 |
9 | 2.182 |
10 | 2.691 |
9 | 2.301 |
12 | 2.866 |
8 | 2.681 |
13 | 2.646 |
11 | 3.12 |
8 | 1.999 |
13 | 3.549 |
12 | 4.831 |
12 | 3.53 |
9 | 2.196 |
9 | 1.606 |
8 | 2.993 |
12 | 2.499 |
10 | 2.592 |
6 | 1.624 |
8 | 2.98 |
12 | 2.935 |
6 | 1.715 |
9 | 2.973 |
8 | 1.556 |
6 | 2.102 |
9 | 2.04 |
14 | 3.169 |
5 | 1.612 |
10 | 2.696 |
8 | 2.226 |
11 | 3.515 |
7 | 1.932 |
9 | 3.239 |
14 | 3.957 |
10 | 2.855 |
6 | 1.826 |
8 | 1.991 |
13 | 4.789 |
12 | 3.692 |
12 | 2.605 |
10 | 2.568 |
5 | 1.359 |
8 | 1.624 |
4 | 0.796 |
13 | 2.531 |
12 | 3.341 |
8 | 2.5 |
8 | 2.481 |
14 | 3.428 |
7 | 1.726 |
11 | 2.387 |
10 | 2.581 |
12 | 2.752 |
6 | 1.427 |
9 | 2.056 |
11 | 2.665 |
13 | 3.994 |
8 | 1.344 |
12 | 3.343 |
9 | 2.126 |
11 | 3.104 |
6 | 1.666 |
12 | 4.72 |
9 | 2.42 |
9 | 2.893 |
9 | 2.042 |
14 | 3.585 |
11 | 4.065 |
11 | 2.318 |
9 | 1.947 |
12 | 4.073 |
10 | 2.891 |
7 | 1.877 |
9 | 2.923 |
9 | 2.135 |
13 | 5.083 |
11 | 3.339 |
6 | 1.697 |
11 | 2.498 |
11 | 2.491 |
13 | 2.216 |
11 | 3.222 |
8 | 1.962 |
7 | 2.093 |
9 | 1.751 |
8 | 2.016 |
10 | 2.862 |
12 | 3.058 |
6 | 1.338 |
18 | 2.853 |
11 | 4.007 |
6 | 1.713 |
11 | 2.458 |
17 | 3.082 |
14 | 3.68 |
10 | 2.391 |
10 | 3.203 |
8 | 2.01 |
9 | 2.988 |
7 | 2.22 |
8 | 2.187 |
11 | 3.845 |
11 | 3.425 |
9 | 1.869 |
4 | 1.389 |
16 | 4.299 |
8 | 1.675 |
10 | 1.458 |
10 | 1.811 |
19 | 5.102 |
7 | 1.79 |
9 | 2.246 |
9 | 2.09 |
11 | 2.524 |
9 | 3.042 |
16 | 3.387 |
7 | 2.371 |
11 | 2.346 |
18 | 4.22 |
7 | 1.92 |
12 | 2.752 |
11 | 3.596 |
9 | 2.715 |
10 | 2.646 |
9 | 2.23 |
16 | 3.645 |
8 | 1.724 |
12 | 4.203 |
7 | 1.905 |
8 | 2.193 |
9 | 2.588 |
11 | 2.953 |
15 | 2.198 |
11 | 2.785 |
6 | 2.104 |
13 | 3.816 |
13 | 2.449 |
12 | 3.529 |
13 | 4.336 |
13 | 3.887 |
12 | 3.186 |
8 | 2.215 |
10 | 3.086 |
15 | 5.793 |
7 | 1.64 |
10 | 2.77 |
14 | 2.236 |
6 | 1.343 |
9 | 1.558 |
10 | 2.52 |
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