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Public Health and Nutrition Research suggests that salt intake is related to fluid intake in adults and soft drink consumption in children and adolescents. Suppose a random sample of 18 children and adolescents was obtained and the amount of salt consumed (x, g/week) and the amount of sugar-sweetened soft drinks consumed (y, g/week) was recorded for each. The following summary statistics were obtained.

ΣX_i = 430
ΣY_i = 17,512
ΣX_iy_i = 441,608
ΣX_i² = 11,138
ΣY_i² = 18,197,768

a. Find the estimated regression line, and complete the ANOVA table.

b. Conduct an F test for a significant regression. Find bounds on the p value for this test.

c. Conduct the hypothesis test H₀: β₁ = 25 versus H_a: β₁ ≠ 25. Use a significance level of 0.05.

d. Find a 99% confidence interval for the true value of b₁.

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