1. **Stating the problem:** We are given two lists: Midterms scores ($x$) and Travel times ($y$). We need to create a table with columns $x$, $y$, $xy$, $x^2$, and $y^2$. 2. **Formulas used:** - $xy$ is the product of $x$ and $y$. - $x^2$ is the square of $x$. - $y^2$ is the square of $y$. 3. **Calculations:** For each pair $(x_i, y_i)$, calculate: - $xy_i = x_i \times y_i$ - $x_i^2 = x_i^2$ - $y_i^2 = y_i^2$ 4. **Table:** | $x$ | $y$ | $xy$ | $x^2$ | $y^2$ | |-----|-----|------|-------|-------| | 54 | 15 | 810 | 2916 | 225 | | 41 | 45 | 1845 | 1681 | 2025 | | 53 | 15 | 795 | 2809 | 225 | | 34 | 30 | 1020 | 1156 | 900 | | 38 | 90 | 3420 | 1444 | 8100 | | 44 | 20 | 880 | 1936 | 400 | | 38 | 60 | 2280 | 1444 | 3600 | | 26 | 15 | 390 | 676 | 225 | | 42 | 60 | 2520 | 1764 | 3600 | | 46 | 30 | 1380 | 2116 | 900 | | 44 | 45 | 1980 | 1936 | 2025 | | 47 | 8 | 376 | 2209 | 64 | | 35 | 20 | 700 | 1225 | 400 | | 40 | 20 | 800 | 1600 | 400 | | 37 | 20 | 740 | 1369 | 400 | | 34 | 10 | 340 | 1156 | 100 | | 36 | 360 | 12960| 1296 | 129600| | 34 | 15 | 510 | 1156 | 225 | | 33 | 30 | 990 | 1089 | 900 | | 38 | 20 | 760 | 1444 | 400 | | 60 | 35 | 2100 | 3600 | 1225 | | 39 | 30 | 1170 | 1521 | 900 | | 38 | 20 | 760 | 1444 | 400 | | 46 | 20 | 920 | 2116 | 400 | | 46 | 10 | 460 | 2116 | 100 | | 56 | 15 | 840 | 3136 | 225 | | 47 | 40 | 1880 | 2209 | 1600 | | 41 | 15 | 615 | 1681 | 225 | | 36 | 40 | 1440 | 1296 | 1600 | | 45 | 10 | 450 | 2025 | 100 | | 28 | 9 | 252 | 784 | 81 | | 57 | 20 | 1140 | 3249 | 400 | | 40 | 15 | 600 | 1600 | 225 | | 46 | 15 | 690 | 2116 | 225 | | 54 | 60 | 3240 | 2916 | 3600 | | 52 | 20 | 1040 | 2704 | 400 | | 34 | 70 | 2380 | 1156 | 4900 | | 41 | 40 | 1640 | 1681 | 1600 | | 34 | 20 | 680 | 1156 | 400 | | 57 | 30 | 1710 | 3249 | 900 | | 54 | 30 | 1620 | 2916 | 900 | | 32 | 15 | 480 | 1024 | 225 |