The correlation between Education and Income as measured on 110 people is r = 0.90 Explain whether or not each of the following possible conclusions is justified. a) When Education increases, Income increases as wellincreases as well. b) The form of the relationship between EducationEducation and IncomeIncome is straight. c) There are severalseveral outliers in the scatterplot of IncomeIncome vs. EducationEducation. d) WhetherWhether we measure EducationEducation in years or monthsyears or months , the correlation will still be 0.90still be 0.90.

Question

Melody Hughes

Mathematics

13 May, 14:59

The correlation between Education and Income as measured on 110 people is r = 0.90 Explain whether or not each of the following possible conclusions is justified. a) When Education increases, Income increases as wellincreases as well. b) The form of the relationship between EducationEducation and IncomeIncome is straight. c) There are severalseveral outliers in the scatterplot of IncomeIncome vs. EducationEducation. d) WhetherWhether we measure EducationEducation in years or monthsyears or months , the correlation will still be 0.90still be 0.90.

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Maia Rivera · Answer 1

Justified:

C) There are several outliers in the scatterplot of Income vs Education

D) Whether we measure age in years or months, correlation will be same

Step-by-step explanation:

Correlation is the statistical relationship of co-movement between two variables

Not Justified : Income does not directly vary (increase with rise) in age, at all age levels. Eg - Education doesn't increase with income at childhood age, at old age Nit justified : The relationship between variables could be non straight i. e non linear also. Eg - It could be quadratic Justified : Some people having exceptional Age, Income relationship. Eg - people working after retirement age Justified : Correlation stays independent of unit of measurement, it is just based on co-variation in the variables