Question

The model P = 0.9x+0.7 is a learning curve, where P is the proportion of correct responses after x trials. This corresponds to the point necessary for 0.96 of the responses to be correct?

Answer 1

To find the point necessary for 0.96 of the responses to be correct, we solve the equation 0.96 = 0.9x + 0.7.

The approximate number of trials required is 0.289.

Step-by-step explanation:

The given model P = 0.9x + 0.7 represents a learning curve, where P is the proportion of correct responses after x trials.

To find the point necessary for 0.96 of the responses to be correct, we need to solve for x in the equation:

0.96 = 0.9x + 0.7.

• Subtracting 0.7 from both sides, we get 0.96 - 0.7 = 0.9x.
• Simplifying, we have 0.26 = 0.9x.
• Dividing both sides by 0.9, we find x = 0.26/0.9 = 0.289.

Therefore, approximately 0.289 trials are necessary for 0.96 of the responses to be correct.