Question

Fast food is often considered unhealthy because much of it is high in both fat and sodum. But are the two related? Here are the lat and sodum comtules brands of burgers. Analyze the association between fat content and sodium using correlation and a scatterplot Fat (g)32 3419 34 31 39 43o Sodium (mg) 1090 1610 940 1310 1500 1180 1260 D. Ос. 1700 1700 1700 800 10 45 10 10 45 , 10 45 Fat (g Fat (g) Fat (o) Fat (o) Calculate the correlation coefficient Round to three decimal places as needed) Enter your answer in the answer box and then click Check Answer

Answer 1

1090 1610 940 1310 1500 1180 1260 8890 34880 54740 17860 44540 46500 46020 54180 298720 1024 1156 361 1156 961 1521 1849 8028 1188100 2592100 883600 1716100 2250000 1392400 1587600 11609900 32 31 39 Sum = 232 The correlation coefficient r is computed using the following expression SSxy where

1n In this case, based on the data provided, we get that SSxY 298720 E(232 x 8890)4080 SSxx = 8028-T (232) 338.857 SSyY 11609900 (8890) 319600 Therefore, based on this information, the sample correlation coefficient is computed as follows SSxY 4080 0.392 VSSSSyy338.857 x 319600

Scatter plot :

1700 1600 1500 1400 1300 1200 1100 1000 900 800 10 15 20 25 30 35 40 45

Correct option : D.