Certain types of diseases tend to occur in clusters. In particular, persons affected with AIDS, syphilis, and tuberculosis may have some common characteristics and associations that increase their chances of contracting these diseases. The following table lists the number of reported cases by state in 2001.

a. Construct a scatterplot of the number of AIDS cases versus the number of syphilis cases.
b. Compute the correlation between the number of AIDS cases and the number of syphilis cases.
c. Does the value of the correlation coefficient reflect the degree of association shown in the scatterplot?
d. Why do you think there may be a correlation between these two diseases?

Transcribed Image Text:

40 96 20 30 54 76 198 6 006 194 125 350 60 333357 006 201 32 86 3 999 ALL 2 2 2 48 7% 39 1 18 360 284 T4 7 3 4 201 1 3 74 202 40 ogg 31 24 29 103 79 25 600 2 24 25喣ssa 100 193 5 1 Sta MT NE N N N N Y C ND OH OK OR PA RI SC SD TN TX UT VT VA WA WV wi WY ALL ber-65 20 20 70 30 39 isa 57 54 89 62 32 38 21 33 74 45 5 1 9 7 43 63 52 94 72 9 47 39 150 49 65 79 59 14 995 41 11 and 44 88 91 193 16 997 2 2 1367 A-38 18 500 199 4 28 SM 28 8549 1 24 23 78 90 98翊紖48 360 195 IST 48 45 76 5 15 44 AL AK AZ AR CA CO CT DE DC FL GA HI D 1 IN IA KS KY LA ME 0