Regression Analysis Hypothesis Testing

Additive 1

lb‐additive/100 lb‐material ................. Strength (PSI)

1 .................................................. ....... 3000

2 .................................................. ...... 3600

3 .................................................. ....... 4100

Complete a regression analysis of concrete Strength on Additive 1.

a) Determine the means of Strength and Additive 1 for the sample.

b) Determine n, p, and k.

c) Estimate βo & β1. Write out the resulting linear equation. Predict the strength if 1.5 lb of Additive 1 are added per 100 lb-material.

d) Calculate SSR & SSE & SST, Check your calculations: SST should equal SSR + SSE

e) Calculate MSR, MSE & R2.

f) Use 8‐step Hypothesis Testing to determine if the linear relationship is significant, w/ α = 0.01.