1.After some discussion within your project group, an additional sample is collected, but this time, additional variables are collected along with the measured thrust.The data shown are from Table 12-22 in your textbook. (A separate Excel file is provided with these data.)

They represent:

y= the thrust of a jet-turbine engine

x1 = primary speed of rotation

x2 = secondary speed of rotation

x3 = fuel flow rate

x4 = pressure

x5 = exhaust temperature

x6 = ambient temperature at time of test

a.Provide descriptive statistics for y= the thrust of a jet-turbine engine and x1 = primary speed of rotation.Include box plots.Explain the statistics and graphs provided.

b.Fit a multiple linear regression model using x1 = primary speed of rotation, x3 = fuel flow rate, x4 = pressure, and x5 = exhaust temperature as the regressors.

c.Test for significance of regression in part b. using alpha = 0.05. Find the P-value for this test. Explain the results of your test.

Find the t-test statistic for each regressor. Using alpha = 0.05, explain carefully the conclusion you can draw from these statistics

Temp SoakTime SoakPct DiffTime 1650 0.58 1.1 0.25 1650 0.66 1.1 0.33 1650 0.66 1.1 0.33 1650 0.66 1.1 0.33 1600 0.66 1.15 0.33 1600 0.66 1.15 0.33 1650 1 1.1 0.5 1650 1.17 1.1 0.58 1650 1.17 1.1 0.58 1650 1.17 1.1 0.58 1650 1.17 1.1 0.58 1650 1.17 1.1 0.58 1650 1.17 1.15 0.58 1650 1.2 1.15 1.1 1650 2 1.15 1 1650 2 1.1 1.1 1650 2.2 1.1 1.1 1650 2.2 1.1 1.1 1650 2.2 1.15 1.1 1650 2.2 1.1 1.1 1650 2.2 1.1 1.1 1650 2.2 1.1 1.5 1650 3 1.15 1.5 1650 3 1.1 1.5 1650 3 1.1 1.5 1650 3 1.15 1.66 1650 3.33 1.1 1.5 1700 4 1.1 1.5 1650 4 1.1 1.5 1650 4 1.15 1.5 1700 12.5 1 1.5 1700 18.5 1 1.5 DiffPct 0.9 0.9 0.9 0.95 1 1 0.8 0.8 0.8 0.8 0.9 0.9 0.9 0.8 0.8 0.8 0.8 0.8 0.8 0.9 0.9 0.9 0.8 0.7 0.75 0.85 0.8 0.7 0.7 0.85 0.7 0.7 Pitch 0.013 0.016 0.015 0.016 0.015 0.016 0.014 0.021 0.018 0.019 0.021 0.019 0.021 0.025 0.025 0.026 0.024 0.025 0.024 0.025 0.027 0.026 0.029 0.03 0.028 0.032 0.033 0.039 0.04 0.035 0.056 0.068