Consider the dataset pressure which is an R build in dataset. You may type help(pressure) to get more information on this dataset. (a) The temperatures are provided on the Celsius scale. Convert them to the Fahrenheit scale and store them in an appropriate vector. (b) Create a data frame consisting of the temperature in the Fahrenheit scale and Pressure. (c) Plot temperature against pressure in the Fahrenheit scale. 3 (d) Perform a simple linear regression with temperature (in Fahrenheit) against pressure, but with no intercept in the model. Report a summary of the results and plot the fitted line in part(c). (e) Plot the residuals against the fitted values. Is pressure adequate to explain the relationship with temperature? (f) Create another dataframe with four columns, given by temperature in Fahrenheit, pressure, the squared of pressure and cubed pressure. (g) Use the above to perform multiple linear regression with intercept of temperature on the rest. Which coefficients are significant? (h) On the plot of (c) above, add the fitted line. Comment on the previous fit and this one. (i) Plot and interpret the residuals against the fitted values. Give some comments on the residual plot.