Question

A researcher finds that, up to a point, the more anxiety one has, the better he or she will perform in a job interview. However, at some point, if one has too much anxiety, his or her performance will suffer. What type of relationship does this represent

negative

curvilinear

positive

no correlation

Answer 1

Here we are given that,

A researcher finds that, up to a point, the more anxiety one has, the better he or she will perform in a job interview. However, at some point, if one has too much anxiety, his or her performance will suffer.

We have to tell what type of relationship does this represent:-

negative

curvilinear

positive

no correlation

ANSWER :- B. Curvilinear

Explanation:- Here, notice what we are given and try to imagine it in terms of Scatterplot which has Anxiety Level on X Axis and Performance Level on Y Axis.

i.e. Anxiety is the Regressor Variable ( Independent Variable) and Performance is the Response Variable ( Dependent Variable).

Now, at first, upto a point, as X increases Y too increases.

( Same direction hence Positive Correlation). But after that point, increase in X results in decrease in Y ( in opposite directions hence Negative Correlation).

Hence, the Scatterplot cannot be either positive or negative. It has both positive and negative association. Hence, the relationship cannot be linear.

Hence, this type of relationship is given using Curvilinear form.

Given below is a graph that shows the relationship between X and Y i.e. Anxiety and Performance :-

Hence, option B. Curvilinear is the correct alternative.

This answers your question.

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