Question

8-10

S. Bell recorded data and used her graphing calculator to find the equation for the line of best fit. She then used the correlation coefficient to determine the strength of the linear fit. Which correlation coefficient represents the strongest linear relationship? 1) 0.9 2) 0.5 3) -0.3 4) -0.8 9. The results of a linear regression are shown below. y- ax+b a-1.15785 b-139.3171772 r--0.896557832 20.8038159461 Which phrase best describes the relationship between x and y? 1) strong negative correlation 2) strong positive correlation 3) weak negative correlation 4) weak positive correlation 10. A nutritionist collected information about different brands of beef hot dogs. She made a table showing the number of Calories and the amount of sodium in each hot dog. Calories per Milligrams of Sodium Beet Hot Dog per Beef Hot Dog 166 181 176 149 184 190 158 139 495 477 425 322 482 587 370 322 a) Write the correlation coefficient for the line of best fit. Round your answer to the nearest hundredtlh b) Explain what the correlation coefficient suggests in the context of this problem.

Answer 1

09 This Tepiesent strongest linear elat 0.896557832- Here Answer is) stiang negatiue correlation betueen 10 bet, x (aloies per Reef Hot naq yMilliaTams of Sodium per Ne knaw coifelation caefficient hetoeen xty is 1

186 | 4g5 | g2070| 15-625 | 244, 1406 | 60 0 62512.390 642 748005625 3-61063 -10 6o 360 T 8633 T 18 I 16 125 に13 | 322-ו47378 |21,375- | 456-8306- 113| 12 4737 18'1 | 482 -1 886881 13,625 | /8 5.6Y06-19, 120 111530 | ,(25 | 385. 1406 23l0 58 3TO460 375 153-14o6 -65 5 1274 2553-875 | Ο | 60 Total 1363 3480 o462) 0 13 63 8 318 0 Y 435 6 0 4621-(8 XI70 375 x435) (2553 315) /se 5x0) 2 434.29 0-3422. γ

". correlation coefficient is 0-9 y The above rorelation coe ffcient suggest that heie is stsona positive cotelation between