The paired values of the Consumer Price Index (CPI) and the cost of subway fare from Table 10-1 in the Chapter Problem are listed below. Is there a linear correlation between the CPI and subway fare?

Construct a scatterplot, find the value of the linear correlation coefficient r, and find the critical values of r from Table A-6 using ? = 0.05. Determine whether there is sufficient evidence to support a claim of a linear correlation between the two variables. (Save your work because the same data sets will be used in Section 10-3 exercises.)

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CPI Subway Fare 30.2 0.15 48.3 0.35 112.3 1.00 162.2 1.35 191.9 1.50 197.8 2.00 TABLE A-6 Critical Values of the Pearson Correlation Coefficient r n TELEFONNING 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 25 30 35 40 45 50 60 70 80 90 100 α = .05 .950 .878 811 .754 .707 .666 .632 .602 576 .553 .532 .514 .497 482 468 .456 444 .396 .361 .335 312 294 279 254 236 220 207 .196 a = .01 .990 .959 .917 .875 .834 .798 .765 .735 .708 .684 .661 .641 .623 .606 .590 .575 .561 .505 .463 .430 .402 .378 .361 .330 .305 286 .269 .256