Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of measurements yield (bar x) x=99.3, (bar y) y=99.5, r=0.943, P-value=0.000, and(^ over y) y=−5.29+1.06x, where x represents the IQ score of the younger child.Find the best-predicted value of (^ over y) y given that the younger child has an IQ of108?Use a significance level of 0.05. The critical values of the Pearson correlation coefficient r.Critical Values of the Pearson Correlation Coefficient rnα=0.05α=0.01NOTE: To test H0: ρ=0 against H1: ρ≠0, reject H0 if the absolute value of r is greater than the critical value in the table.40.9500.99050.8780.95960.8110.91770.7540.87580.7070.83490.6660.798100.6320.765110.6020.735120.5760.708130.5530.684140.5320.661150.5140.641160.4970.623170.4820.606180.4680.590190.4560.575200.4440.561250.3960.505300.3610.463350.3350.430400.3120.402450.2940.378500.2790.361600.2540.330700.2360.305800.2200.286900.2070.2691000.1960.256nα=0.05α=0.01 The best-predicted value of (^ over y) y is ______.(Round to two decimal places as needed.)

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Description: Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of measurements yield (bar x) x=99.3, (bar y) y=99.5, r=0.943, P-value=0.000, and(^ over y) y=−5.29+1.06x, where x represents the IQ score of the younger ch

Since the P-value is 0.000, we reject the null hypothesis that ρ=0. That is, there is significant…

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MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of measurements yield (bar x) x=99.3, (bar y) y=99.5, r=0.943, P-value=0.000, and

(^ over y) y=−5.29+1.06x, where x represents the IQ score of the younger child.

Find the best-predicted value of (^ over y) y given that the younger child has an IQ of108?
Use a significance level of 0.05.

The critical values of the Pearson correlation coefficient r.

Critical Values of the Pearson Correlation Coefficient r

n	α=0.05	α=0.01	NOTE: To test H0: ρ=0 against H1: ρ≠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	α=0.05	α=0.01

The best-predicted value of (^ over y) y is ______.

(Round to two decimal places as needed.)

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