A pediatrician wants to determine the relation that may exist between a child's height and head circumference. She randomly selects 8 children from her practice, measures their height and head circumference, and obtains the data shown in the table. Complete parts (a) through (e) below. E Click here to see the Table of Critical Values for Correlation Coefficient, Height (in.) Head Circumference (in.) O 27.5 25.5 26.25 25.25 17.2 17 17.1 17 27.5 26.25 25.75 17.6 17.4 17.1 26.75 17.4 (a) If the pediatrician wants to use height to predict head circumference, determine which variable is the explanatory variable and which is the response variable. Choose the correct answer below The explanatory variable is head circumference and the response variable is height. The explanatory variable is height and the response variable is head circumference.
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.
![Critical Values for Correlation Coefficient
3 0.007
4 0.950
5 0.878
0.997
0.811
7 0.754
8 0.707
9 0.666
10 0.632
11 0.602
12 0.576
13 0.553
14 0.532
15 0.514
18 0.497
17 0.482
18 0.468
19 0.456
20 0.444
21 0.433
22 0.423
23 0.413
24 0.404
25 0.390
26 0.388
27 0.381
28 0.374
29 0.367
30 0.361
7
8](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd5685ce4-d9f8-4c8e-aa78-bd82f1a4dfdc%2Fea851c84-5438-4c4b-bc3b-7ab5362a503c%2Fesaz64m_processed.jpeg&w=3840&q=75)
![A pediatrician wants to determine the relation that may exist between a child's height and head circumference. She randomly
selects 8 children from her practice, measures their height and head circumference, and obtains the data shown in the table.
Complete parts (a) through (e) below.
E Click here to see the Table of Critical Values for Correlation Coefficient.
Height (in.) Head Circumference (in.)
27.5
17.2
25.5
17
26.25
17.1
25.25
17
27.5
17.6
26.25
17.4
25.75
17.1
26.75
17.4
(a) If the pediatrician wants to use height to predict head circumference, determine which variable is the explanatory variable and which is the response variable. Choose the correct answer below.
The explanatory variable is head circumference and the response variable is height.
The explanatory variable is height and the response variable is head circumference.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd5685ce4-d9f8-4c8e-aa78-bd82f1a4dfdc%2Fea851c84-5438-4c4b-bc3b-7ab5362a503c%2Fenifdnf_processed.jpeg&w=3840&q=75)
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