Mathematics · Regression Analysis

A company uses regression analysis to establish a total cost equation for budgeting purposes. Data for the past four months is as follows: Month 1: Total Cost = $57,500, Quantity = 1,250 Month 2: Total Cost = $37,500, Quantity = 1,000 Month 3: Total Cost = $45,000, Quantity = 1,500 Month 4: Total Cost = $60,000, Quantity = 2,000 The totals are ∑y = 200 (in $'000) and ∑x = 5.75 (in '000 units). If the gradient of the regression line (b) is 17.14, what is the intercept value 'a'?