3. Researchers studied the link between flavonoids in organically and conventionally grown tomoatoes and the amount of nitrogen in the fertilizer used in the plants. Organic fertilizers such as manure contain considerably less nitrogen than commercially produced fertilizers. Nitrogen application (in kg ha/yr) as well as the falvonoid compound Kaempferol ( in mg/g) were measured over the course of n=6 years. a. Use the Excel file (Flavenoid vs Nitrogen) to fit a simple linear regression model with nitrogen as the predictor (x) and Kaempferol as the response (y). Include a print-out of your results with your homework and answer the following questions. b. Given the correlation coefficient and n, what is the probability that these variables are NOT linearly correlated? c. Is the nitrogen level in the soil a significant predictor of flavenoid content in the tomato fruit? Justify your answer with a statistic. d. Using the regression coefficient for nitrogen (i.e. slope) and the units of y and x variables, write a statement describing the quantitative relationship between nitrogen content of the soil and flavenoid content of the tomato fruit (use the writing response sample to guide you).