1. A nutritionist studying soda consumption as it relates to age takes a sample of 100 randomly individuals between the ages of 10 and 50 and measures their weekly soda consumption as the response variable and age as the explanatory variable. Based on this data, the nutritionist calculates the following regression equation: Sodas drunk per week = 1.3 x (Age in years) + 23.1 a. Interpret the y-intercept b. Does the y-intercept make any sense in this context? Explain why or why not. c. Interpret the slope. d. A 10 year old is predicted to drink how many sodas per week? e. A 10 year old in the study actually consumed 12 sodas per week. Calculate the residual for this observation. 2. In the same study as in #1, the nutritionist calculates a correlation coefcient, r, of 0.231 and a coefficient of determination 0.053. a. Interpret the correlation coefficient b. Interpret the coefcient of determination. 3. In the same study as in #1, the nutritionist calculates tests whether the slope is equal to 0 and calculates a p- value for equal to 0.071. (a) Interpret the p-value. (b) Is there convincing evidence that there is a true relationship between age and consumption of soda? Explain why or why not