Question textGuidelines to answer the following question:Answer the following questions by filling in the blanks. If the answer requires a number, enter the number only. Do not use any spaces or brackets. If you get an error message saying you need to complete this question, please check the format of all your answers. [Total: 2 + 3 + 2 = 7 marks] The table at the side shows the number of vehicles waiting at a railway crossing in a Melbourne suburb on 19 separate occasions during a particular day, and the length of time (in minutes) they waited for. The relationship between the number of vehicles and the time they waited is found to be non-linear. In order to linearise the data, a squared transformation is to be applied to the variable Time. a. Apply a squared transformation to the time variable and find the equation of the least squares regression line that predicts the number of vehicles based on Time2 , correct all coefficients to 4 decimal places. Number of vehicles = Answer 1 Question 8[input] + Answer 2 Question 8[input] × time2 b. Use your regression equation to predict the number of vehicles waiting after 6 minutes. Hence, find the residual. Number of vehicles = Answer 3 Question 8[input] + Answer 4 Question 8[input] × Answer 5 Question 8[input]2 Predicted number of vehicles is Answer 6 Question 8[input]. (Correct to the nearest whole number) Residual = Answer 7 Question 8[input] vehicles. c. i. Is the prediction in part b reliable? Answer 8 Question 8[select: , No, Yes] ii. Explain your answer using the following options: Answer 9 Question 8[select: , The prediction is an extrapolation outside the given range, The prediction is an interpolation within the range of data, The prediction is based on a measured data point] Please answer all parts of the question.多项填空题