Just Statistics ((Minitab)) Expert !!

DSCI 346-01 F16: Chapter 12 On-Paper Assignment (40 points)

Begin by re-writing the problem. Minitab is required; attach or include your output. Use Word; you may hand write equations. You may want to refer to the Minitab handouts for Chapter 12 which may be found on Canvas under Chapter 12 Handouts under Modules.

Use Data Set D, Single Engine Aircraft Performance (Airplanes), on page 535 of your textbook to answer the following questions. The first column is the X, or independent, variable and the second column is the Y, or dependent, variable. Use MINITAB to obtain the simple regression equation, confidence interval, prediction interval, and required graphs. Insert tables and graphs in your report as appropriate.

Use Minitab and produce the appropriate output to answer the following questions. Attach the output.

1. Construct a scatter plot. Recalling what scatter plots are used for, write a couple of sentences

addressing what you observed from the plot. Be sure to relate your observations to the purpose of

using scatter plots in regression. (4 points)

2. Can we conclude that total horse power (TotalHP) helps in predicting cruise speed (Cruise)? Follow the 7

steps for hypothesis testing. (12 points)

3. Find the sample regression equation and interpret the coefficients. Remember your interpretations

should be in terms of the problem. (4 points)

4. Find the coefficient of determination, and interpret its value. (2 points)

5. Use residual analysis to check the validity of the model and fully explain your findings and conclusions. (6

points)

6. Does the simple linear model appear to be useful tool in predicting cruise speed for airplanes? If not,

explain why not. If so, estimate with 95% confidence the average cruise speed of all airplanes with a total

horse power of 625 knots. Predict with 95% confidence the cruise speed of an airplane with total horse

power of 625 knots. Write at least one sentence using your confidence interval and at least one sentence

using your prediction interval. (10 points)

7. Verify that the p-value for the F is the same as the slope’s t statistic’s p-value, and show that t2 = F. (2

points)