Question 1 Vou have been given the following data about an independent variab e x and a dependent variable y: Table 1: Past data X 1 3 4 6 9 S 10 '/ 1 8 15 33 75 70 95 Based on the above past data, the following results have been reported: a? = 5.857, 9 = 42.429 , 20:, 7 my: 717) : 728.4120; 7 f)? = 66.857 A business analyst wants to come up with a simple linear regression model where the relationship between x and y is represented as y=Bg+ng+e Answer the following questions based on analytical computations, utilizing the summary data (Vou may want to validate your results by entering the raw data and conducting the analysis in R. In that case, please do not include the code and the output; You will not gain points solely on the basis of your R output even if your answers are correct.) a) (10 points) What is the estimated regression equation? As a result of further analysis, the business analyst finds 553391.267 and 55T=8327.7l4. b) (4 points) What is the coefficient of determination? c) (6 points) The business analyst constructs the following hypothesis test: Ho: [11:0, Ha: [$30. What is the observed value of the test statistic? d) (7 points) If the significance level is 5%, what is the rejection region? e) (5 points) What can be concluded as a result of the hypothesis test? f) (8 points) At a 95% confidence level, what would be the analyst's estimate for y in terms of a prediction interval given that x=13? N