How do you solve this problem:

Many people have a fear of math and seek psychiatric help to overcome this. There are three commonly used types of therapy for modifying their phobia to math: desensitization, positive reinforcement and behavior modification. An experiment was done to compare these three types of therapy on students. The other factors included in the study were gender (male, female) and degree of phobia (mild, moderate, severe). The Behavior Avoidance Test result was used to measure the effect of the therapy (higher score indicates less phobia). Use a significance level of 10%.

a) Using the data given, what can you say about the significance of the factors on treating math phobia? Please analyze this thoroughly, including any differences which may exist within the significant effects.

b) Using your results from part a, develop an appropriate linear model that accurately predicts the anticipated Behavior Avoidance Test result.

c) What is the anticipated test result of a female with severe phobia who is treated with positive reinforcement?

A B C D E F G H Desensitization K Positive Reinforcement 2 Mild Moderate Behavior Modification Severe Mild Moderate 3 Females Severe Mild 10 12 Moderate 10 Severe 15 12 6 4 13 12 11 9 10 11 12 10 5 7 13 9 7 10 9 6 14 11 5 6 Males 11 16 8 11 8 12 17 14 7 10 14 16 10 13 11 11 18 13 9 8 12 17 12 15 10 13 16 12 9 11 14 14 9 10