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As you read about regression this week, try to think of pairs of variables whose values...

As you read about regression this week, try to think of pairs of variables whose values might be associated, or as we say in statistics have a correlation. For example, height and weight have a positive correlation because in general we expect taller people to weigh more than shorter people. This does not mean every taller person weighs more than every shorter person, but that's the tendency. Can you think of another pair of variable that have a positive correlation? How about a pair of variables that have a negative correlation? Try to think of pairs of variables from your field of study! For each variable, consider the following: give a brief description of each variable, how is it measured, what are its possible values, Why do you think the correlation between your two variables is positive or negative?

Expert Solution

(a)

Pair of variable that have a positive correlation between hours of study and marks in examination :

A brief description of each variable :

x = Number of hours a student spends on studies per day and y = Marks obtained in Examination

How is it measured,

x is measures in number of hours. y is measured as numerical value as Marks obtained in Examination

Why do you think the correlation between your two variables is positive ?

As the student spends more time studies, his marks in examination will correspondingly go up.

(b)

Pair of variables that have a negative correlation : Speed of driving car and time to reach the destination

A brief description of each variable :

X = Speed at which you drive your car to reach college from house and y = Time to reach college from house

How is it measured,

x is measured in miles/ hours. y is measured in hours

Why do you think the correlation between your two variables is negative ?

As the speed increases, time to reach destination becomes smaller.

milcah answered 1 hour ago

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