Problem 8. (2+2+2+2+2=10marks) The price for a newly listed condominium asked by real estate agents may depend on many factors: the living area, number of floors, number of bedrooms, number of bathrooms. It's assumed that the factors listed above are the main factors, and multiple regression model to be fitted is, where #ylt = [30 +513\Do the data provide sufficient evidence to conclude at the 5% significance level that the list price and the living area are linearly' related. Do the data provide sufficient evidence to conclude at the 5% significance level that the list price and the number of the bedrooms are linearly related. For full solution answer questions 1, 2, 3, 4, and 5. 1. (2 marks) Introduce the vectors price, area, floors, bedrooms, and bathrooms. 2. {2 marks) Introduce the object with the name priceversusafbb , and assign the output of |m(price"' area + floors + bedrooms + bathrooms ) function to this object. Then get output of summary ll) function with argument priceversusafbb. Use this output to answer the questions 3, 4, and 5. Show the code, required to answer question 2, in blue or red, and corresponding R output in black. 3. (2 marks) Decide whether the data provide sufficient evidence to conclude at the 5% significance level that the model is useful in predicting the list price? State the null and alternative hypotheses required to answer the question above. Use b1, b2, b3, and b4 for the slopes of regression equation. Using generated output of summary function with argument priceversusafbb decide whether the data provide sufficient sample evidence to indicate that the model contributes important information for the prediction of final exam grade. 4. (2 marks) Decide whether the data provide sufficient evidence to conclude at the 5% significance level that the list price and the living area are linearly related. State the null and alternative hypotheses required to answer the question above. Use b1 for the slope of regression equation. Using generated output of summary function with argument priceversusafbb decide whether the data provide sufficient evidence to conclude at the 5% significance level that the list price and living area are linearly related. 5. [2 marks) Decide whether the data provide sufficient evidence to conclude at the 5% significance level that the list price and the number of bedrooms are linearly related. State the null and alternative hypotheses required to answer the question above. Use b1 for the slope of regression equation. Using generated output of summary function with argument priceversusafbb decide whether the data provide sufficient evidence to conclude at the 5% significance level that the list price and the number of the bedrooms are linearly: related