Bacterial growth was measured at different temperatures. The density of bacteria (cells/ml) are given below. Use the 5% significance level to test for a functional relationship (regression analysis) between temperature and growth.

Assignment Question

Bacterial growth was measured at different temperatures. The density of bacteria (cells/ml) are given below. Use the 5% significance level to test for a functional relationship (regression analysis) between temperature and growth. Some calculations are provided below. Temp, X Growth, Y 12 72 15 60 14 76 17 84 18 77 Based on the data above, conduct ANOVA for Regression analysis and submit your solution.

You must follow the rules below in your solution: Your solution cannot include any R code as a solution, Must include formulas, numeric setup for all intermediate calculations, Must show how you obtained SSx, SSy, SSxy, SSr, SSt, SSe, all df, and all MS values, include slope, intercept, & a full equation of the regression line, You must show how you obtained the Critical and Calculated values using formulas, You must clearly label your computations, Must include a written null and alternate hypotheses (no mathematical notations here), You must include a conclusion and an interpretation for your conclusion.