2.9 (5 points) In each of the following situations, is it more reasonable to sim
ID: 3074974 • Letter: 2
Question
2.9 (5 points) In each of the following situations, is it more reasonable to simply explore the relationship between the two variables or to view one of the variables as an explanatory variable and the other as a response variable? In the latter case, which is the explanatory variable and which is the response variable? (a) (1 point) The amount of time spent studying for a statistics exam and the grade on the exam. ANSWER: (b) (1 point) The weight in kilograms and height in centimeters of a person. ANSWER: (c) (1 point) Inches of rain in the growing season and the yield of corn in bushels per acre.Explanation / Answer
a) Here we expect the relationship between positive relationship between marks obtained in statistics exam and the study hours.
Also we can estimate marks on the basis of study hours .
So explainatory variable is number of study hourd and response variable is marks obtained in the examination.
b) Here we also expect the positive relationship between height and weight of a person.
SInce both the variables are observational variable. And so we need to explore the relationship between them.
c) After the rain we get yield of corn. So there is an effect of rain on the yield of corn.
So rain is the explanatory variable and yield of corn is a response variable.
d) Here we can not tell which one is the response variable or which one is a explanatory variable.
So we need to simply explore the relationship between scores on the SAT math exam and scores on the SAT veral exam.
e) explanatory variable : family income.
response variable : number of years of education taken by their eldest child completed.
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