3. A researcher is testing a new fertilizer by applying different amounts to plants to determine its effectiveness.

3.a) Using the data in the table below and graphing software (Desmos) , make scatter plot and performboth linear and quadratic regressions. Write out all the information given after the diagnostic testing. Include complete equations as well.(4 marks)

Linear Regression Results	Quadratic Regression Results

3. B ) List the residuals for both regression analyses.(4 marks)

Amount of Fertilizer (mg)	Plant Height (cm)	Linear Residuals	Quadratic Residuals
0	19.2
5	22.0
10	27.4
15	25.2
20	33.6
25	29.5
30	29.0
35	36.9
40	36.4
45	25.4
50	23.9
55	23.9
60	27.5
65	23.6
70	14.2

3.c ) Describe each of the residual plots. What type of regression curve seems most appropriate? Explain.

(2 marks)

3. D) Estimate the optimal amount of fertilizer and the height of the plant at that optimal amount. Explain.

(2 marks)