We were asked by our statistics professor to conduct a research where we needed to apply 3k factorial. We need to find the sum of squares, factor...

We were asked by our statistics professor to conduct a research where we needed to apply 3k factorial. We need to find the sum of squares, factor effects, residuals, regression and the anova table. The research was about the most effective alternative for thinner to remove different types of paint.

PBo = the weight of the brush

PBi = weight of the brush with paint

PBf = weight of the brush after washing the paint with the different alternatives (detergent, vinegar, fabric softener)

Delta PB = weight of paint removed (in grams)

all measurements are in grams.

Our professor did not discuss 3k factorial with us so I wanted some help on how to do it.

This was the data we gathered from