Nutritional information was collected on several muesli bars to investigate a possible relationship between the Energy content per serve (measured in calories), the Protein content per serve (measured in grams) and the Fibre content per serve (measured in grams). Excel output was used to create the following regression output. SUMMARY OUTPUT Regression Statistics Multiple R 0.819 R Square 0.671 Adjusted R Square 0.657 Standard Error 33.090 Observations 48 ANOVA df SS MS F Significance F Regression 2 100595.412 50297.7 45.937 1.349E-11 Residual 45 49272.083 1094.94 Total 47 149867.495 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 92.723 11.230 8.257 0.000 70.104 115.342 Protein 12.417 1.328 9.349 0.060 9.742 15.092 Fibre 1.125 2.231 0.504 0.616 -3.368 5.618 a) Interpret the coefficient of protein. b) Using the 5% significance level, test whether this is a significant linear relationship between energy content and protein; give hypotheses, your reasoning, decision, and conclusion