d) Every week, Hilda buys four apples and three bananas from her local greengrocer. The table shows the total weight, x grams, of the four apples and the corresponding total weight, y grams, of the three bananas for each of a random sample of 13 weeks.
X 562 633 578 621 558 593 607 638 527 623 579 588 524
Y 366 320 379 407 422 394 325 369 387 395 446 364 457
i). Calculate, to three decimal places, the value of the product moment correlation coefficient, r, between x and y. [3 marks]
ii). Interpret, in context, your value for r . [2 marks]
iii). Howard, Hilda’s husband, claims that each week she buys either big apples and big bananas or small apples and small bananas. Comment on Howard’s claim
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