Home-work 1 : Time series modelling for business

1. Plot the scatter plot for Age & Lung Cap variables from the Lung Cap Data set. (5 marks)

2. Perform simple linear regression on any one of the variables from LungCap Data. Keep the independent variable LungCap as a fixed variable. (5 marks)

   • Prepare a lm() model.

   • Use abline() function to show the linear relationship between the variables.

3. Perform multiple regression on LungCap dataset using the dependent variables Age, Height and independent variable as LungCap. (5 marks)

   • Provide a lm() model in the code,

   • Provide with the summary of the model.

4. Use mouse.dataset (The dataset in given below, please execute it in R Studio). (5 marks)

mouse.data = data.frame(

size = c(1.4, 2.6, 1.0, 3.7, 5.5, 3.2, 3.0, 4.9, 6.3),

weight = c(0.9, 1.8, 2.4, 3.5, 3.9, 4.4, 5.1, 5.6, 6.3),

tail = c(0.7, 1.3, 0.7, 2.0, 3.6, 3.0, 2.9, 3.9, 4.0))

1. • Perform multiple regression on the dataset and also provide with the summary output.

5. Explain Time series regression models in your own words. (5 marks)

6. Explain correlation and auto-correlation. (5 marks)