Question

Regarding a $x^2$-curve:

Part (a): At what point on the horizontal axis does the curve begin?

Part (b): Classify its shape as symmetric, left skewed, or right skewed.

Part (c): As the number of degrees of freedom increases, a $x^2$-curve begins to look like another type of curve. What type of curve is that?

Short answer

Part (a): The curve $x^2$starts at $0$on the horizontal axis.

Part (b): The shape of the curve $x^2$is right skewed.

Part (c): It will be a normal type of curve.

Step-by-step solution

Part (a) Step 1. Starting point of the curve.

Regarding the$x^2$-curve,

A $x^2$-curve starts at $0$on the horizontal axis and extends indefinitely to the right, approaching but never touching, the horizontal axis.

Part (b) Step 1. Classify the shape of the curve.

Regarding the $x^2$-curve,

The $x^2$ has a right skewed shape.

Part (c) Step 1. What if the number of degrees of freedom increases.

Regarding the $x^2$- curve,

As the number of degrees of freedom increases, $x^2$- curves looks like increasingly normal curves.