Question 3: Simple Linear Regression Analysis. (35 Marks) The following table shows data on X = pressure of extracted ga

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Question 3 Simple Linear Regression Analysis 35 Marks The Following Table Shows Data On X Pressure Of Extracted Ga 1 (58.52 KiB) Viewed 47 times

Question 3: Simple Linear Regression Analysis. (35 Marks) The following table shows data on X = pressure of extracted gas (microns) and Y = extraction time (min). Assume Y is normally distributed with constant variance o for each x. 40 130 155 1602601275 3253.0 3.1 3.3 3.7 370420 480 85054 Construct a scatter plot of the data. Does it support the use of the simple linear regression model? Explain. (5 Marks) 2. Calculate and the point estimates of the slope and intercept of the regression line), and write down the estimated regression line equation of Yon X. (5 Marks) Calculate a point estimate of the standard deviation of Y, then calculate and interpret the coefficient of determination r. (5 Marks) 4. Do a test of linear regression model utility at a = 0.01 (same 5 steps). (10 Marks) Calculate a point estimate of the true average extraction time when the pressure of extracted gas is = 500 microns, then calculate a 95% PI for a future value of extraction time when the pressure of extracted gas is = 500 microns. (5 Marks) Calculate and interpret the sample correlation coefficient r, then test (same 5 steps) for the absence of correlation between extraction time and pressure of extracted gas at a = 0.05. (5 Marks)