Suppose IQ scores were obtained from randomly selected siblings. For 20 such pai
ID: 3129721 • Letter: S
Question
Suppose IQ scores were obtained from randomly selected siblings.
For 20 such pairs of people, the linear correlation coefficient is 0.938
and the equation of the regression line is
Y intercept with caret y =8.71+1.09x,
where x represents the IQ score of the
younger child.
Also, the 20 x values have a mean of 96.04 and the 20 y values have a mean of 95.6.
What is the best predicted IQ of the older child, given that the younger child
has an IQ of 103?
Use a significance level of 0.05.
Click the icon to view the critical values of the Pearson correlation coefficient r
The best predicted IQ of the older child is?
Coefficient Factor:
n
alpha =0.05
alpha=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
NOTE: To test
H0:
rhoequals=0
H1:
rhonot equals0,
H0
if the absolute value of r is greater than the critical value in the table.
I have no idea where to start with this equation...can you please guide and help solve? Thanks!
Explanation / Answer
The best predicted IQ of the older child is?
***************
As
y =8.71+1.09x
Then if x = 103, then
y =8.71+1.09*103 = 103.56 [ANSWER]
****************
Note that for this part of the question, none of the other given matters, it just like this.
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