Dr. Susan Sweeney, an Edmonton psychologist, specializes in treating patients who are agoraphobic (i.e., afraid to leave their homes). The following table indicates how many patients Dr. Sweeney has seen each year for the past 10 years. It also indicates what the robbery rate was in Edmonton during the same year:

Using trend analysis, predict the number of patients Dr. Sweeney will see in years 11 and 12 as a function of time. How well does the model fit the data?

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5 6 7 41 Year 4 8 9 10 Number of Patients 36 33 40 40 55 60 54 58 61 Robbery Rate 58.3 61.1 73.4 75.7 81.1 89.0 101.1 94.8 103.3 116.2 per 1000 Population 2.