Figure 1 description

Two graphs labeled (a) and (b):

• Graph (a) is a four quadrant graph with an origin at (0,0). The x-axis is labeled $v(x)$ and goes from −100 to 100; the left side is labeled ‘losses’ and the right side ‘gains’. The y-axis is labeled x and goes from −30 to 30. A single curved line starts at the lower left (approx. (−100,−24)) at about a 30 degree angle, goes through the origin at almost a 90 degree angle then goes back to a 30 degree angle by the end (approx. (100,10)).
• Graph (b) is a 10 by 10 layout with x and y both going from 0 to 1. The y-axis is labeled $w(p)$ and the x-x-axis p. A straight dashed line goes from (0,0) to (1,1). A solid curved line also goes between the same points. It is above the dashed line from (0,0) to about (.35,.35) and below the dashed line after that point.

Figure 2 description

The center of the mostly symetrical diagram consists of four vertical boxes, the whole labeled above as ‘cues’ and individually inside from top to bottom as $X_1$, $X_i$, $X_j$, $X_n$. Cue $X_i$ and $X_j$ are connected by a line labeled $\rho_{X_i, X_j}$.

To the left of the cues is a box labeled above in green as ‘criterion value’ and inside as $Y_e$. Each of the four cues is connected to it with a line and each line labeled $\rho_{Y_e, X_1}$ (with $X_1$ replaced appropriately).

To the right of the cues is a box labeled above in blue as ‘subject response’ and inside as $Y_s$. Each of the four cues is connected to it with a line and each line labeled $\rho_{Y_s, X_1}$ (with $X_1$ replaced appropriately).

Below the cues is an equation $r_a = \rho_{Y_e,Y_s}$ and below that in red the label ‘achievement index’. Lines connect the equation to both $Y_e$ and $Y_s$.

Below this equation and label is another $G= \rho_{\hat{Y}_e, \hat{Y}_s}$ and below that a label in red ‘matching index’. To the left a line goes to a box containing $\hat{Y}_e$ and labeled in green ‘predicted criterion value’. A line from this box in turn goes to an equation $R_e = \rho_{Y_e,\hat{Y}_e}$ which is labeled in green ‘environmental predictability’. A final line goes from this equation back to the original green box that was labeled ‘criterion value’

To the right of ‘matching index’ goes a line to a box containing $\hat{Y}_{s}$ and labeled in blue ‘predicted subject responses’. A line from this box in turn goes to an equation $R_s = \rho_{Y_s,\hat{Y}_s}$ which is labeled in blue ‘response linearity’. A final line goes from this equation back to the original blue box that was labeled ‘subject response’.

In the lower left is the equation

$$Y_e = \sum^{n}_{i=1} \beta_{e,j}X_j + \epsilon_e$$

Under the right hand part of the equation but not including ${}+\epsilon_e$ is a horizontal brace labeled $\hat{Y}_e$

In the lower right is the equation

$$Y_s = \sum^{n}_{i=1} \beta_{s,j}X_j + \epsilon_s$$

Under the right hand part of the equation but not including ${}+\epsilon_e$ is a horizontal brace labeled $\hat{Y}_s$

Figure 3 description

A diagram of four targets in a two by two layout. Each of the four targets consists of five concentric rings with the innermost ring colored gray. From innermost to outermost the rings are numbered 0 through 4.

The top left target is labeled ‘(low bias & low variance)’. A cluster of black dots is in ring 0.

The top right target is labeled ‘(low bias & high variance)’. Black dots are scattered at all angles in rings 0 through 2.

The bottom left target is labeled ‘(high bias & low variance)’. Black dots are clustered in the upper right quadrant in rings 2 and 3.

The bottom right target is labeled ‘(high bias & high variance)’. Black dots are mostly in the bottom right quadrant though some in the top right quadrant in all rings.