Question

Suppose IQ scores were obtained for 20 randomly selected sets of couples. The 20 pairs of measurements yield x = 100.12, y = 100.8, r=0.869, P-value = 0.000, and y = 3.57 +0.97x, where x represents he IQ score of the husband. Find the best predicted value of y given that the husband has an IQ of 94? Use a significance level of 0.05. Click the icon to view the critical values of the Pearson correlation coefficient r. The best predicted value of ģis Round to two decimal places as needed.) i Critical Values of the Pearson Correlation Coefficient L Anon 14 15 16 17 18 19 Critical Values of the Pearson Correlation Coefficient a = 0.05 0.01 NOTE: To test Ho: p= 0 0.950 0.990 against H,: p0, reject Ho 0.878 0.959 if the absolute value of ris 0.811 0.917 Igreater than the critical 0.754 0.875 value in the table. 0.707 0.834 0.666 0.798 0.632 0.765 0.602 0.735 0.576 0.708 0.553 0.684 0.532 0.661 0.514 0.641 0.497 0.623 0.482 0.606 0.468 0.590 0.456 0.575 0.444 0.561 0.396 0.505 0.361 0.463 0.335 0.430 0.312 0.402 0.294 0.378 0.279 0.361 0.254 0.330 0.236 0.305 0.220 0.286 0.207 0.269 0.196 0.256 a = 0.05 a=0.01 100 Print Done

Answer 1

since p value <0.05 ,therefore the linear relationship appears significant and can be used for prediction

best predicted value =3.57+0.97*94 =94.75