An experiment was run to determine whether four specific firing temperatures affect the density of a certain type of brick. The following data was collected.

Temperature

Density

100

1.8

1.9

1.7

1.6

1.7

125

1.7

1.4

1.5

1.4

150

1.9

1.8

1.8

1.6

1.5

175

1.9

1.7

1.8

1.4

Set up a regression model to describe the experiment. State the model and all assumptions, interpret the meaning of each parameter.

Show all the steps needed to estimate all model parameters, including writing down the X matrix and the Y vector.

Can you estimate the value of β0?