25. A regression equation is calculated for the plant height y (in inches) based on water...

Transcribed Image Text:

25. A regression equation is calculated for the plant height y (in inches) based on water X1. (in inches), sunlight x2 (measured PPFD), soil condition x3 (pb), and humidity x4. There were 20 plants sampled for testing. The resulting regression equation is 9=23.5 - 14.28x, + 6.72x, +1.68x, +15.68x4. For this model, SSE-524.2 and SSR-3285.4 (11 pts). Conduct a test for overall model significance. Show all your work. a) What is your null and alternative hypotheses? Ho: Ha b) Calculate your test statistic, F. c) How many degrees of freedom did you use for the: Numerator d) What is the p-value? e) If a = 0.05, what is your conclusion? Does the model have significance? Denominator f) Explain what the "14.28" in front of x, means in the equation. (Interpret the coefficient B) 25. A regression equation is calculated for the plant height y (in inches) based on water X1. (in inches), sunlight x2 (measured PPFD), soil condition x3 (pb), and humidity x4. There were 20 plants sampled for testing. The resulting regression equation is 9=23.5 - 14.28x, + 6.72x, +1.68x, +15.68x4. For this model, SSE-524.2 and SSR-3285.4 (11 pts). Conduct a test for overall model significance. Show all your work. a) What is your null and alternative hypotheses? Ho: Ha b) Calculate your test statistic, F. c) How many degrees of freedom did you use for the: Numerator d) What is the p-value? e) If a = 0.05, what is your conclusion? Does the model have significance? Denominator f) Explain what the "14.28" in front of x, means in the equation. (Interpret the coefficient B)