Appliances sales vary by new home marking status: when new home sales are good, so are dishwashers, clothes washers, dryers, and refrigerators. A trade survey compiled the following historical data (in thousands of units) for white goods sales and home construction. House construction (thousands) 2.0 2.5 3.2 3.6 3.3 4.0 4.2 4.6 4.8 5.0 White line sales (thousands) 5.0 5.5 6.0 7.0 7.2 7.7 8.4 9.0 9.7 10.0 a) Develop an equation for the relationship between white goods sales (in thousands) and house construction (in thousands) b) Interpret the slope of the regression line c) Calculate and interpret the standard error of the estimate d) The construction of houses during the next year may be greater than the recorded interval; Estimates of up to 8.0 million units have been forecast. Calculate a 90% confidence prediction interval for white line sales, based on the previous data and the new home construction forecast. Q.No.1. Give one line answer with proper justification against each statement/question: i. Why we need NFA notwithstanding the language can be expressed in FA? ii. How we can avoid backtracking in top-down parsing and why it occurs? iii. What kind of grammar are called ambiguous grammars? Give two (2) examples. iv. Write the regular expression in FLEX script for your roll number (e.g. YY-Arid-DDD). How Thompson construction method differs from the Sub-set construction method? vi. Which modules of a compiler uses data structures and what for? vii. What is the importance of studying the course of compiler construction? V. viii. What are the ambiguities that could occur while developing lexical analyzer?