The accompanying table gives two data sets: (A) and (B).The values of X are the same for both data sets and are given only once.

(a) Generate scatterplots of the two data sets.
(b) For each data set (i) estimate r visually and (ii) calculate r.
(c) For data set (a), multiply the values of A" by 10, and multiply the values of Y by 3 and add 5. Recalculate r and compare with the value before the transformation. How is r affected by the linear transformation?
(d) Find the equations of the regression lines and verify that the regression lines for the two data sets are virtually identical (even though the correlation coefficients are very different).
(e) Draw the regression line on each scatterplot.
(f) Construct a scatterplot in which the two data sets are superimposed, using different plotting symbols for each data set.

Transcribed Image Text:

0.6 088 0.96 2.56 197 120 93 L02 097 2.74 2.02 3.59 02 12 007 3.04 226 309 27 L10 254 3.13 2.27 155 47 1.44 141 345 2430.7 1.71 L45 0.84| 3.48 2.57 3.05 91 141 0.33.79 253 2.54 2.00 159 146 3.962.73333 .27 158 2.29 4.12 2.92 2.38 2.33 66 251 421 296 308