Find the estimated regression line and complete the anova, Basic Statistics

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Find the estimated regression line and complete the anova

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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Basic Statistics: Find the estimated regression line and complete the anova

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Basic Statistics: Find the estimated regression line and complete the anova

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