B6. Data were collected for the fuel consumption, y, of 10 cars of each of k = 3 brands, i.e. n = 30. (a) Analysis of variance will be used to test whether the fuel consumption depends on the brand of...

plz solve only (a) with explaintion i will give you upvotes.

Extracted text: B6. Data were collected for the fuel consumption, y, of 10 cars of each of k = 3 brands, i.e. n = 30. (a) Analysis of variance will be used to test whether the fuel consumption depends on the brand of the car. Write down a suitable regression model for the data and the necessary assumptions for the analysis. (b) The data have been analysed. Interpret the computer output presented at the bottom of the page. State the hypothesis that has been tested. (c) Additional data have been collected on the engine size of the cars of each brand. The average effect of engine size upon fuel consumption is assumed to be linear, but this effect is not believed to depend on the brand of car. Write down a suitable model for the data in this case. (d) Write down a suitable model for the data if it is believed that the effect of engine size may also depend on the brand of the car. (e) Describe a statistical test that can be used to compare the suitability of the models in (c) and (d).