1. A researcher at Philip company wants to study the relationship between room temperature and product defects. This is done to predict the number of defective products due to room temperature. To prove this, a 30-day trial was conducted. Room Defects Date temperature (X) Product (Y) X2 Yz XY 1 24 10 576 100 240 2 22 5 484 25 110 3 21 6 441 36 126 20 3 400 9 60 22 6 484 36 132 19 4 361 16 76 20 5 400 25 100 23 9 529 81 207 9 24 11 576 121 264 10 25 13 625 169 325 11 21 7 441 49 147 12 20 4 400 16 80 13 20 6 400 36 120 14 19 3 361 9 57 15 25 12 625 144 300 16 27 13 729 169 351 17 28 16 784 256 448 18 25 12 625 144 300 19 26 14 676 196 364 20 24 12 576 144 288 21 27 16 729 256 432 22 23 9 529 81 207 23 24 13 576 169 312 24 23 11 529 121 253 25 22 7 484 49 154 26 21 5 441 25 105 27 26 12 676 144 312 28 25 11 625 121 275 29 26 13 676 169 338 30 27 14 729 196 378 Total ()) 699 282 16487 3112 6861 Based on the data above, please calculate and interpret: a. Correlation coefficient b. Coefficient of determination c. Regression equation