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MULTIPLE LINEAR REGRESSION

Write a paragraph about what you understand from the below scatter plot matrix A, B, C. Include significant information.

Scatter Plot for Income (Y) vs Age (X1) Scatter Plot for Income (Y) vs Life Expectancy (X2) 100 90 80 70 60 50 40 30 - 20 10 60 50 40 30 20 10 y 0.0012x+4.1682 R2 0.4281 y -3E-05x +41.749 R2 0.0027 10000 20000 30000 40000 50000 60000 70000 80000 10000 20000 30000 40000 50000 60000 70000 80000 Income (Y) Income (Y Scatter Plot for Age (X1) vs Life Expectancy (X2) 100 90 80 70 60 50 40 30 20 10 y- -0.3092x 71.551 R2 0.0139 10 20 30 40 50 60 Age (X1)

math   Statistics-And-Probability   
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Answer #1

Only Scatterplot B shows significant correlation between the two models. Hence a linear regression model is only suitable for Income v/s Life Expectancy.

Also, there is positive correlation between Income and Life Expectancy ie as Life Expectancy increases, Income also increases and vice-versa.

From Scatter plot A, we can conclude that there is no correlation of Income with Age. Ie A linear model is not suitable. Also, the R Square value of the given model is close to 0 indicating the poor performance of the model.

From Scatter Plot C, we can conclude that there is no correlation of Life Expectancy with Age. Ie A linear model is not suitable.

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