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QUESTION 1 A random sample of monthly internet usage bills from three different telecommunication providers were collected among the university students at College H. The
QUESTION 1 A random sample of monthly internet usage bills from three different telecommunication providers were collected among the university students at College H. The result as follow. ANOVA Internet Usage Sum of Squares df Mean Square F Sig. Between Groups 1613.771 Q R S 069 Within Groups P 12 238.773 Total 4479.042 14 a) What are the TWO (2) main assumptions for the model above? (2 marks) b) Compute the values of P, Q, R and S. (4 marks) c) Using p-value approach, is there any evidence to indicate the mean internet usage bills among the university students are different from the three telecommunication providers? Use a=0.05. (4 marks)QUESTION 2 Hashim Motors Son. Bhd. specializes in selling a secondhand car. Currently, the company has 12 used cars for sale. The owner of the company wants to investigate the relationship between the age of the car and the mileage of the car. The data were collected and analyzed using SPSS. The results as follow. Car's age (years) 6 4 2.5 4 3 5 5.5 4.5 4.5 3.5 Mileage ('000 km) 93 60 33 36 53 59 48 77 79 61 63 50 Model Summary Adjusted R Std. Error of the Model R R Square Square Estimate 975 951 .946 4.036 a. Predictors: (Constant), AgeCoefficients" Standardized Unstandardized Coefficients Coefficients Model B Std. Error Beta Sig. 1 (Constant) 3.927 4.134 .950 365 Age 13.997 1.002 975 13.971 000 a. Dependent Variable: Mileage a) Prove that the correlation coefficient is 0.975. (4 marks) b) Interpret the value of the correlation coefficient in a). (1 mark) c) State the value of the coefficient of determination. Interpret its meaning. (2 marks) d) Based on the SPSS output, write the complete regression equation. (1 mark) e) Based on the regression equation in d), interpret the slope in the context of the problem. (1 mark) f) Predict the mileage of the car if the age of the used car is 4,3 years. (1 mark)
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