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MATH2392 Practice of Analytics

Assignment 4

Due date: Friday, 23 October, 2020

1. The data file satisfaction.csv (located on Canvas -> Assignment 4)

recoded satisfaction score for two flights. This data has been collected

from different group of passages. Complete the following tasks using R.

a. Read the data set into R. Write a simple code to compute the mean of

satisfaction score for each flight.

b. Create a comparison boxplot for the score of two flights.

c. Perform the hypothesis test for the satisfaction score of the two flights.

Does the sample provide enough evidence to support the claim that the

mean score satisfaction of flight 1 is less than the mean score

satisfaction of flight 2?

d. Extract p-value from your output results. Base on the p-value, make

simple conclusion about your test. (ie., whether or not the null

hypothesis should be rejected. The null hypothesis in this problem is:

mean score satisfaction of flight 1 is equal to the mean score

satisfaction of flight 2).

e. Check whether the assumption of equal variance is valid or not.

Copy and Paste the coding and output on your answer sheet.

Submit your answer sheet with simple answer to the question where it is

required.

(2 + 1 + 2 + 2 + 1 = 8 marks)

2. Researchers would like to know if the variation in the weight that plane

carries affect its fuel consumption. The dataset consumption.csv on

Canvas -> Assignment 4 presents the fuel consumption and the weight

that plane is carrying. Use R to complete the following tasks.

a. Read the data set consumption.csv into R. Compute the correlation

between fuel consumption and weight.

b. Create a scatter plot for fuel consumption and weight. Does the plot

indicate that there is linear relationship between the fuel consumption

and weight?

c. Create the regression model with fuel consumption as dependent

variable and weight as independent variable.

d. Check the result by extracting the estimated coefficient, the fitted

values and residuals;

e. Add a line of best-fit to the scatter plot.

Copy and Paste the coding and output on your answer sheet.

Submit your answer sheet with simple answer to the question where it is

required.

(2 + 1 + +1 + 2 + 1 = 7 marks)

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