Find the regressionequation, letting the diameter be the predictor(x) variable. Find the best predicted circumference of a marble with a diameter of 1.5 cm. How does the result compare to the actual circumference of 4.7 cm? Use a significance level of 0.05.

Baseball

Basketball

Golf

Soccer

Tennis

Ping-Pong

Volleyball

Diameter

7.4

23.9

4.2

22.1

7.0

4.0

21.4

Circumference

23.2

75.1

13.2

69.4

22.0

12.6

67.2

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Click the icon to view the critical values of the Pearson correlation coefficient r.

Critical Values of the Pearson Correlation Coefficient r

n

=0.05

=0.01

NOTE: To test H0: =0 against H1: 0, reject H0 if the absolute value of r is greater than the critical value in the table.

4

0.950

0.990

5

0.878

0.959

6

0.811

0.917

7

0.754

0.875

8

0.707

0.834

9

0.666

0.798

10

0.632

0.765

11

0.602

0.735

12

0.576

0.708

13

0.553

0.684

14

0.532

0.661

15

0.514

0.641

16

0.497

0.623

17

0.482

0.606

18

0.468

0.590

19

0.456

0.575

20

0.444

0.561

25

0.396

0.505

30

0.361

0.463

35

0.335

0.430

40

0.312

0.402

45

0.294

0.378

50

0.279

0.361

60

0.254

0.330

70

0.236

0.305

80

0.220

0.286

90

0.207

0.269

100

0.196

0.256

n

=0.05

=0.01