QUESTION 4

Find the regression equation, letting overhead width be the predictor (x) variable. Find the best predicted weight of a seal if the overhead width measured from a photograph is 2.1 cm. Can the prediction be correct? What is wrong with predicting the weight in this case? Use a significance level of 0.05.

Overhead_Width_(cm) Weight_(kg)

8.3 180

7.3 166

8.7 221

9.5 228

8.1 191

9.1 239

n alphaequals=0.05 alphaequals=0.01

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 alphaequals=0.05 alphaequals=0.01

Critical Values of the Pearson Correlation Coefficient r

The regression equation is Y^=____+_____X.

Round to one decimal place asneeded.