Obtain and interpret a 95% confidence interval for β1β1. Assume the assumptions can be verifiedFor the fitted regression model, SSR = 132306 and SSE = 54207, calculate and interpret the coefficient of determination. A random sample of 90 weightlifters was collected from the A class of the 2019 European Championships held in Batumi, Georgia. We areinterested in determining if the body weight of the athlete (in kilograms) is a reasonable linear predictor for the total amount the athlete can lift(also in kilograms). Consider the following summary statistics: = 90.44467, Ser = 48955.71, SrySyy = 186513.6, and s, = 24.82.= 80480.74, y = 335.2222,d. Obtain and interpret a 95% confidence interval for B1B1. Assume the assumptions can beverifiede. For the fitted regression model, SSR = 132306 and SSE = 54207, calculate and interpretthe coefficient of determination.

Name: Obtain and interpret a 95% confidence interval for β1β1. Assume the as
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Description: Obtain and interpret a 95% confidence interval for β1β1. Assume the assumptions can be verifiedFor the fitted regression model, SSR = 132306 and SSE = 54207, calculate and interpret the coefficient of determination. A random sample of 90 weightlifter

The slope is given by The standard error is given by The confidence interval is given by…

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Obtain and interpret a 95% confidence interval for β1β1. Assume the assumptions can be verified
For the fitted regression model, SSR = 132306 and SSE = 54207, calculate and interpret the coefficient of determination.

A random sample of 90 weightlifters was collected from the A class of the 2019 European Championships held in Batumi, Georgia. We are
interested in determining if the body weight of the athlete (in kilograms) is a reasonable linear predictor for the total amount the athlete can lift
(also in kilograms). Consider the following summary statistics: = 90.44467, Ser = 48955.71, Sry
Syy = 186513.6, and s, = 24.82.
= 80480.74, y = 335.2222,
d. Obtain and interpret a 95% confidence interval for B1B1. Assume the assumptions can be
verified
e. For the fitted regression model, SSR = 132306 and SSE = 54207, calculate and interpret
the coefficient of determination.

Expert Solution

Question 1

The slope is given by

$\beta_{1} = \frac{SS_{xy}}{SS_{x}}$

$\beta_{1} = \frac{80480.74}{48955.71} =1.644$

The standard error is given by

$SE(\beta_{1}) = \frac{s_{e}}{\sqrt{SS_{x}}}$

$SE(\beta_{1}) = \frac{24.82}{\sqrt{48955.71}} =0.1122$

The confidence interval is given by

$CI = \widehat{\beta_{1}} \pm t_{0.05,88}SE(\beta_{1})$

$CI= 1.64395\pm 1.9873 \times 0.1122$

${\color{Red} CI= [1.421,1.867]}$

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