Question

The two regression coefficients are -2.7 and -0.3 and the coefficient of correlation is 0.90. Comment

Answer 1

For the two regression coefficients, -2.7 and -0.3 and for the coefficient of correlation is 0.90, the model is a good fit, as the data can be fitted to the regression line.

• The two regression coefficients are -2.7 and -0.3
• The regression coefficients are negative and the proportion of variations between data variables is high
• The coefficient of correlation is 0.90.
• Coefficient of correlation = √{ two regression coefficients}
• Implies that the correlation between x and y variables is high and positive
• higher the correlation value lesser the regression and data fit the model only if the regression graph is linear.
• r^2 = 0.9^2 = 0.81 indicates smaller differences between the observed data fitted values.