Dex Research Limited conducted a research to investigate consumer characteristics that can be used to predict the amount charged by credit card users. The following multiple regression output is based on a data collected by this research company on annual income, household size and annual credit card charges for a sample if 50 consumers. Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations 0.9086 0.8181 398.0910 ANOVA Significance F 1.50876E-18 df SS MS F Regression 2 D E Residual 7448393.148 Total 49 42699148.82 Coefficients Standard Error 1304.9048 t Stat P-value Intercept Income ($1000s) Household Size 197.6548 6.6019 3.28664E-08 33.1330 3.9679 7.68206E-11 356.2959 33.2009 10.7315 3.12342E-14 (4 marks) b. Estimate the annual credit card charges for a three-person household with an annual income (2 marks) (1 mark) a. Complete the missing entries from A to H in this output of $40,000. c. Did the estimated regression equation provide a good fit to the data? Explain
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
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