Refer to the data in Table 13-6 on obesity, gender, and occurrence of a heart attack.

(a) Develop a regression model to predict the chance of a heart attack based on weight. Interpret the model coefficients.

(b) Is the model significant using α = 0.05?

(c) Find a 95% confidence interval for the mean probability of a heart attack for individuals who weigh 90 kg.

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TABLE 13-6 Data on Obesity, Gender, and Occurrence of a Heart Attack Obs ervation Gender Weight (kg) Heart Attack Observation Gender Weight (kg) Heart Attack 1 M 6.15 No 16 F 71.5 No 2 M 110.9 Yes 17 M 95.1 Yes 3 F 44.2 No 18 M 99.7 No 4 81.4 No 19 F 58.6 No 5 F 59.6 Yes 20 M 65.7 No 6. F 81.5 Yes 21 71.3 Yes 7 F 60.7 No 22 F 64.3 Yes 8. 77.1 No 23 F 56.5 No M 81.5 Yes 24 65.7 Yes 10 M No 70.2 49.8 No 25 85.1 11 F No 26 84.3 Yes 12 M 106.4 Yes 27 58.6 No 68.3 52.1 48.9 13 F 60.7 No 28 No 14 F 65.3 Yes 29 No F 62.5 No 30 No ZFFF MMF