6-44. The data that follow are DC output from a windmill (v) and wind velocity (x). (a) Draw a scatter diagram of these data. What type of rela- tionship seems appropriate in relating y tox? (b) Fit a simple linear regression model to these data. (c) Test for significance of regression using a = 0.05. What conclusions can you draw? (d) Plot the residuals from the simple linear regression model versus y, and versus wind velocity x. What do you con- clude about model adequacy? (e) Based on the analysis, propose another model relating y to.x. Justify why this model seems reasonable. (f) Fit the regression model you have proposed in part (e). Test for significance of regression (use a = 0.05), and graphically analyze the residuals from this model. What can you conclude about model adequacy?

For the Thermistor given below using piecewise approximation method combined with line regression to find the best equation and value for Temperature if the system has counts =800 20 40 60 80 |ADC counts 928 785 654 420 152 T=129.7902-0.14586*Counts, T= 13.1022 T=129.7902-0.13986*Counts, T=17.9021 T=129.7902-0.12358*Counts, T= 30.9262 T=135.4745-0.14599*Counts, T= 18.68613

The radius at periapsis of an Earth-orbiting spacecraft is 3R. It's apoapsis radius is 5R. Let the mean anomaly M be equal to 1 radian. Carry out three iterations of the Newton- Raphson method by hand to approximate the value of eccentric anomaly, E, corresponding to M. Remember to show your work. State your answers in radians. a. What is your initial guess for eccentric anomaly, E? Call this guess Eo. b. To five decimal places, what is your result for the first iteration, E₁? c. To five decimal places, what is your result for the second iteration, E2? I d. To five decimal places, what is your result for the third iteration, E3?

Statistical Inference