Chapter 14.6, Problem 8AYU

(a)

Section 1:

To determine

The level of measurement.

Section 2:

To determine

The level of measurement for color.

Section 3:

To determine

The level of measurement of clarity.

Section 4:

To determine

The level of measurement of cut.

Section 5:

To determine

The level of measurement of price.

Section 6:

To determine

The level of measurement of shape.

(b)

To determine

The correlation matrix.

To determine

To identify: The multicolinearity.

(c)

To determine

To identify: The best prediction model.

(d)

To determine

To draw: The residual plot.

To determine

To draw: The boxplot.

To determine

To draw: The normal plot.

(e)

To determine

To interpret: The regression coefficient.

(f)

To determine

The value of $R^2$.

To determine

To interpret: The value of $R^2$.

To determine

The value of adjusted $R^2$.

To determine

To interpret: The value of adjusted $R^2$.

(g)

To determine

To predict: The mean value of price.

(h)

To determine

The confidence interval.

(i)

To determine

To predict: The mean value of price.

(j)

To determine

The prediction interval.

(k)

To determine

To explain: The results in part (a) and part (h).