A CPU manufacturer is interested in studying the relationship between clock speed and the operating temperature that results at that clock speed for a particular CPU model. Let x be the clock speed in MHz and let Y be the temperature in ^{\circ}C . The following data was collected:i xi yi1 350 31.42 360 35.63 370 41.84 380 51.05 390 56.86 400 62.87 410 67.4a) Find the equation of the regression line.b) Estimate the temperature for clock speed x = 430 MHz.c) Find the 95% confidence interval for \beta .d) Compute the coefficient of determination R^{2} ?. Is this a high quality fit?