Question

#3

Suppose IQ scores were obtained for 20 randomly selected sels of siblings. The 20 pairs of measurements yield x=98.82, y = 101.15, r=0.907, P-value = 0.000, and = -4.91 + 1.07x, where x represents the IQ score of the younger child. Find the best predicted value of ý given that the younger child has an IQ of 106? Use a significance level of 0.05. Click the icon to view the critical values of the Pearson correlation coefficient The best predicted value of ģis (Round to two decimal places as needed.)

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please help me!

Answer 1

( 3 )

Given x = 106

y = -4.91 +1.07 x

y = -4.91 +1.07 ( 106 )

y = 108.51

( 5 )

Scatter plot

Answer : Option ( A )

SUMMARY OUTPUT
Regression Statistics
Multiple R	0.831064199
R Square	0.690667703
Adjusted R Square	0.656297448
Standard Error	1.177852008
Observations	11
ANOVA
	df	SS	MS	F	Significance F
Regression	1	27.8784	27.8784	20.09493	0.001526395
Residual	9	12.48601818	1.387335
Total	10	40.36441818
	Coefficients	Standard Error	t Stat	P-value	Lower 95%	Upper 95%
Intercept	2.710727273	1.117972733	2.424681	0.038315	0.181697252	5.239757294
X Variable 1	0.528	0.117785201	4.482736	0.001526	0.261551365	0.794448635

So from the above output Regression equion is  

Answer : y = 2.71 + 0.528 x