Chapter 8, Problem 14SE

a.

To determine

Construct a linear regression model for the data.

Test whether there is enough evidence to conclude that ${\beta }_0$ is zero.

Test whether there is enough evidence to conclude that ${\beta }_1$ is zero.

b.

To determine

Construct a quadratic regression model for the data.

Test whether there is enough evidence to conclude that ${\beta }_0$ is zero.

Test whether there is enough evidence to conclude that ${\beta }_1$ is zero.

Test whether there is enough evidence to conclude that ${\beta }_2$ is zero.

c.

To determine

Construct a cubic regression model for the data.

Test whether the coefficients are significantly different from zero.

d.

To determine

Find the best model among the three models obtained in part (a), part (b) and part (c).

e.

To determine

Estimate the flow rate of paraffinic hydrocarbons when the specific gravity is 0.83 using the most appropriate method.