Topic 7: Correlation and regression

Question 4 A researcher wanted to know the relationship between the price (in RM) of travelling suitcase with rollers and its' scores (higher scores indicate better overall test result). The following table shows the output of statistical analysis for the price and scores of travelling suitcase with rollers. Model Summary Adjusted R Std. Error of the Model R R Square Square Estimate 1 0.898a 0.807 0.783 79.059 a. Predictors: (Constant), Scores Coefficientsa Unstandardized Standardized Coefficients Coefficients Model B Std. Error Beta P-value (Constant) 696.668 168.088 -4.145 0.003 Scores 14.293 2.473 0.898 5.778 0.001 a. Dependent Variable: Price i. Comment on coefficient of correlation between Price and Scores. (1 Mark) i. Determine the coefficient of determination and explain this value in relation to the problem. (2 Marks) iii. At the 0.05 significance level is it reasonable to conclude that there is a significant relationship in the population between Price and Scores. (2 Marks) iv. What is the value of Y-intercept? Interpret the meaning of the Y- intercept, a for this problem. (1 Mark) V. What is the value of the slope? Interpret the meaning of the slope, b for this problem. (1 Mark) vi. Write the regression equation for this problem from the output. (1 Mark) vii. Predict the Price if the Scores is 85. (2 Marks) (Total: 10 Marks)