12.73 Tennis, Anyone? If you play tennis, you know that tennis racquets vary in their physical characteristics. The data in the accompanying table give measures of bending stiffness and twisting stiffness as measured by engineering tests for 12 tennis racquets:

a. If a racquet has bending stiffness, is it also likely to have twisting stiffness? Do the data provide evidence that x and y are positively correlated?

b. Calculate the coefficient of determination r and interpret its value.

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Bending Racquet Stiffness, x Twisting Stiffness, y 1 419 227 2 407 231 3 363 200 4 360 211 56 257 182 6 622 304 7 424: 384 8 359 194 9 346 158 10 556 225 11 474 305 12 441 235