Regression Analysis: Sodium (mg) versus Calories Analysis of Variance Source DF Adj SS Adj MS F-Value P-Value Regression 1 52487 52486.7 297 .84 0.000 Error 1234 176.2 Total 8 53720 Model Summary S R-sq R-sq (adj) R-sq (pred) 13.2749 G 97 .38% 95 .50% Coefficients Term Coef SE Coef T-Value P-Value VIF Constant C 14.6 12.17 0. 000 Calories M 0 . 0474 17.26 0. 000 1.00Assume that both the variables are normally distributed, answer the following questions. Leave all calculated values to 4 decimal places. i)Using the data given, compute using formula the value of Pearson Product Moment Correlation Coefcient. Hence, explain its meaning. (5 marks) ii) Find the regression equation line using the least squares method (indicating the dependent and independent variable clearly in context of the problem) and interpret the value of the slope. (6 marks) iii) Is it possible to estimate the amount of sodium using the equation in (ii) if the number of calories is 435? Why? (2 marks) iv) Determine the value of coefcient of determination and explain what it means. (3 marks) v) Test at 5% level of signicance whether the regression model is signicant. (4 marks) mmmamm MEI-\"ME A researcher wanted to see if there is a relationship between the number of calories and the sodium content of sandwiches. Several different types of sandwiches were considered. The observations recorded are tabulated below. The data collected were analysed and the output lis shown above