Suppose IQ scores were obtained from randomly selected twins. For 20 such pairs of people, the linear correlation coefficient is 0.892 and the equation of the regression line is Modifying Above y= -1.91 + 1.01 x, where x represents the IQ score of the twin born the second. Also, the 20 x values have a mean of 100.07 and the 20 y values have a mean of 98.8 What is the best predicted IQ of the twin born first twin born first, given that the twin born second twin born second has an IQ of 96?
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
given that the twin born second twin born second
has an IQ of 96?
Use a significance level of 0.05.
|
Critical Values of the Pearson Correlation Coefficient r
|
NOTE: To test
H0:
rhoρequals=0
against
H1:
rhoρnot equals≠0,
reject
H0
if the absolute value of r is greater than the critical value in the table. |
|
|---|---|---|
|
n
|
a=0.05
|
a=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
|
a=0.05
|
a=0.01
|
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