Use the data in Exercise 8.28 to estimate a multiple regression model with systolic blood pressure as the dependent variable and diastolic blood pressure the explanatory variable, allowing the slope and intercept to depend on whether the person is male or female. Does gender have a statistically significant effect on the slope or intercept at the 5 percent level?

Exercise 8.28

Table 8.9 shows the systolic and diastolic blood pressure readings (both in mmHG)
for 26 healthy young adults [10]. Ignoring gender, use all 26 observations to estimate a linear regression model with systolic blood pressure as the dependent variable and diastolic blood pressure as the explanatory variable.
a. Is the estimated relationship statistically significant at the 5 percent level?
b. What is the correlation between systolic and diastolic blood pressure?

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Table 8.9: Exercise 8.28 Systolic Diastolic Gender Systolic Diastolic Gender 108 62 Female 96 64 Female 134 74 Male 114 74 Male 100 64 Female 108 68 Male 108 68 Female 128 86 Male 112 72 Male 114 68 Male 112 64 Female 112 64 Male 112 68 Female 124 70 Female 122 70 Male 90 60 Female 116 70 Male 102 64 Female 116 70 Male 106 70 Male 120 72 Male 124 74 Male 108 108 RR 70 Female 130 72 Male 70 Female 116 70 Female