An investigation was carried out on 10 second-hand cars to explore the relationship between the age of the car, t years and the mileage, M thousand kilometres. The data collected from each car are shown in the following table. 6. Age, t (years) 3 4 4.5 4.5 5 6.5 3 6 2 2.5 Mileage, M 25 (thousands km) 36 32 40 42 45 50 55 30 58 Σt= 41, ΣΜ = 413, ΣtΜ -1833, Σt2 188, ΣM218123 (a) Find the regression line M = a + bt for the given data and write down the equation of the line in 2 decimal places. (F (b) Interpret the value of the slope, b, to given context. (c) Calculate the product-moment correlation coefficient for the given data. Comment on the value. A second-hand car dealer estimates the mileage for a 10 (d) year-old car to be around 132 thousand kilometres. Is the estimation made reliable? State your reason.

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