Question textGuidelines to answer the following question:Fill in the blanks with the correct answers. Do NOT use any spaces or brackets. For all numerical answers, give EXACT values (i.e. do not round your answers) unless instructed otherwise in the question. If using fractions, give answers as SIMPLIFIED fractions using the forward slash (e.g. 1/2 or 3/4). Use - for any negatives. _________________________________________________________________________________________________________This question is worth 1+2+2+2+2= 9 marks Some items, like motorcycles, depreciate in value. This is because older motorcycles are worth less than newer motorcycles. Data is collected from a motorcycle sales yard, on the age of the motorcycle and the sale price. The data is summarised in the table below: a) Calculate the correlation coefficient for this data, giving your answer correct to 2 decimal places.Answer = Answer 1 Question 6[input] [1 mark] Now apply the logarithmic function [math: log10(Price)] log_{10}(Price) to transform the data. b) State the correlation coefficient of the least squares regression line for the transformed data, correct to 2 decimal places. Answer = Answer 2 Question 6[input] This indicates that Answer 3 Question 6[select: , the linear model is a better fit, the log(Price) model is a better fit, neither model is a good fit] for this data. [2 marks] c) Give also the equation of the least squares regression line for the transformed data in the form [math: log10(Price)=a×Age+b] log_{10}(Price)=a\times Age+b , with coefficients rounded to 2 decimal places.[math: log10(Price)=]log_{10}(Price)= Answer 4 Question 6[input] [math: ×Age+]\times\: Age\:+ Answer 5 Question 6[input] [2 marks]d) Using your equation from part c) above, predict the price of a 7 year old motorcycle. Round your final answer to the nearest dollar. [math: log10(Price)=]log_{10}(Price)= Answer 6 Question 6[input][math: Price=$]Price= \:$ Answer 7 Question 6[input] (to the nearest dollar) [2 marks] e) Discuss the reliability of the prediction from part d) above.As the prediction is made Answer 8 Question 6[select: , from outside the data range, from within the data range, reasonably and fairly accurate], it is Answer 9 Question 6[select: , an extrapolation, an interpolation, a good fit] and is reliable. [2 marks] Please answer all parts of the question.多项填空题