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The following is the classification of each pair of variables into two categories, namely explanatory and response, based on the relation between the variables:
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(a) Whether or not a person likes to sing and whether or not a person likes to dance - Explanatory: There is no direct relation between the choices made by the person but it can be explained why he likes or does not like either of two or both.
(b) The number of pages in a textbook and the cost of a new copy of the textbook - Response: The cost of the book is dependent on the pages in it as each page bears some cost.
(c) The number of alcoholic drinks consumed and the blood alcohol content - Response: The blood alcohol content would keep increasing as long as alcohol is consumed.
(d) In a study of adolescents, the dose of vitamin D given each day for a year (50, 100, or 200 international units) and the change in total bone mineral content from the beginning of the study to the end of the study - Response: The amount of vitamin D would reflect as more in the adolescents that were administered higher dosages of vitamin D.
One of the most important predictors and components of mathematical achievement has been found by Siegler and colleagues as the skill in placing numbers, including fractions, on a mental number line.
Siegler's theory of these mathematical developments aims to develop strategies to improve children's math learning.
Some of Siegler's studies are aimed at representing children's numbers to identify the learning of whole numbers, fractions and other arithmetic topics.
Therefore, these studies on the development of children's math skills are very useful in identifying why some children are more proficient than others and in identifying the strategies used by children to solve math problems.
Learn more about Siegler here:
brainly.com/question/6367322