The weight and systolic blood pressure of 26 randomly selected males in the age group 25 to 30 are shown in the Table E11-8. Assume that weight and blood pressure are jointly normally distributed.

TABLE 11-6 Water Data

TABLE 11-7 Exam Grades

(a) Find a regression line relating systolic blood pressure to weight.

(b) Test for significance of regression using α = 0.05.

(c) Estimate the correlation coefficient.

(d) Test the hypothesis that ρ = 0, using α = 0.05.

(e) Test the hypothesis that ρ = 0, using α = 0.05.

(f) Construct a 95% confidence interval for the correlation coefficient.

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23.1 10.5 37.9 22.8 32.8 16.7 30.5 14.1 31.8 18.2 25.1 12.9 32.0 17.0 12.4 8.8 30.4 16.3 35.1 17.4 31.5 24.0 10.5 14.9 39.5 23.1 21.1 10.5 24.2 12.4 27.6 16.1 52.5 24.9 Statistics OR Statistics OR Statistics OR 86 80 86 81 83 81 75 81 71 76 75 70 69 75 65 72 71 73 75 81 84 85 76 72 90 92 71 72 84 80 94 95 62 65 97 98 83 80 90 93