Pick any two variables that you feel may be related and esti

Pick any two variables that you feel may be related and estimate what you think the strength of the correlation coefficient would be for those two variables. In your response, estimate the value of r. For example, specify a strong (.7 to .9), medium (.4 to .6), or low (0 to .3) value for r. The value of the coefficient can be positive or negative. For example, consider an increase in police patrols in a neighborhood and the number of burglaries that occur in that neighborhood. I would say that would be a strong inverse relationship with an r value of -0.8; as one (patrols) increases, the other (burglary rate) goes down. Describe the factors that you think would contribute to why the variables would have the relationship that you estimate it to be.

Solution

The variables \'Marks Obtained in a test\' and \'Hours of study\' are strongly correlated. The type of correlation between these two variables must be positive as the marks obtained would increase if we increase the hours of study. The magnitude of correlation must be between 0.7 and 0.9. So there must be a strong correlation between them.

These variables might be strongly correlated because studying more increases the knowledge of the subject and the chance of answering correctly in the test. There is also another factor which might be coming in to play i.e. the level of confidence. If a student studies for more number of hours, the confidence would be higher as compared to the student who studied less.

So there is strong correlation between them.