A pediatrician wants to determine the relation that exists between a child's height, x, and head circumference, y. She randomly selects 11 children from her practice, measures their heights and head circumferences, and obtain: accompanying data. Complete parts (a) through (g) below. A Click the icon to view the children's data Interpret the y-intercept, it appropnate. Select the correct choice below and, it necessary, till in the answer box to complete your choice. O A. For every inch increase in head circumference, the height increases by (Round to one decimal place as needed.) in., on average. O B. For a height of 0 inches, the head circumference is predicted to be in (Round to one decimal place as needed.) O C. For every inch increase in height, the head circumference increases by in., on average. (Round to one decimal place as needed.) O D. For a head circumference of 0 inches, the height is predicted to be in (Round to one decimal place as needed.) O E. It is not appropriate to interpret the y-intercept (c) Use the regression equation to predict the head circumference of a child who is 24.5 inches tall = in (Round to two decimal places as needed.)
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.
 alt="A pediatrician wants to determine the relation that exists between a child's height, x, and head circumference, y. She randomly selects 11 children from her practice, measures their heights and head circumferences, and obtains the
accompanying data. Complete parts (a) through (g) below.
E Click the icon to view the children's data,
Question Help ▼
Interpret the y-intercept, it approprate. Select the correct choice below and, it necessary, till in the answer box to complete your choice.
O A. For every inch increase in head circumference, the height increases by in., on average.
(Round to one decimal place as needed.)
O B. For a height of 0 inches, the head circumference is predicted to be
(Round to one decimal place as needed.)
in.
O C. For every inch increase in height, the head circumference increases by
in., on average.
(Round to one decimal place as needed.)
O D. For a head circumference of 0 inches, the height is predicted to be
in.
(Round to one decimal place as needed.)
O E. It is not appropriate to interpret the y-intercept.
(c) Use the regression equation to predict the head circumference of a child who is 24.5 inches tal
=in.
(Round to two decimal places as needed.)
Click to select your answer(s)
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ing data. Complete parts (a) through (g) below.
the icon to view the children's data
measures their heights and head
Data Table
ne y-intercept, if appropnate. Select the correct choice belo
or every inch increase in head circumference, the height inc
Round to one decimal place as needed.)
Height (inches), x
Head Circumference (inches), y e
27.75
17.7
or a height of 0 inches, the head circumference is predicted
Round to one decimal place as needed.)
24.25
17.2
25.5
17.2
25.75
17.6
For every inch increase in height, the head circumference inc
(Round to one decimal place as needed.)
24.5
17.1
28
17.8
For a head circumference of 0 inches, the height is predicted
(Round to one decimal place as needed.)
26.5
17.5
27.25
17.7
26.75
17.5
It is not appropriate to interpret the y-intercept.
26.75
17.6
27.75
17.7
-e the regression equation to predict the head circumference of
in.
nd to two decimal places as needed.)
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