Find t, rounding the result to three decimal places. b₁ S II = Σ(x₁ - x)² 7.688 238
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![We found \( \sum (x_i - \overline{x})^2 = 238 \), \( s = 7.688 \), and the estimated regression equation \( \hat{y} = 0.5x + 18.8 \).
Recall \( t \) is calculated as follows using the slope \( b_1 \) from the estimated regression equation.
\[
t = \frac{b_1}{s_{b_1}} \quad \text{where} \quad s_{b_1} = \frac{s}{\sqrt{\sum (x_i - \overline{x})^2}}
\]
Combining these into a single equation, we have the following.
\[
t = \frac{b_1}{\frac{s}{\sqrt{\sum (x_i - \overline{x})^2}}}
\]
Find \( t \), rounding the result to three decimal places.
\[
t = \frac{b_1}{\frac{s}{\sqrt{\sum (x_i - \overline{x})^2}}}
\]
\[
= \frac{7.688}{\sqrt{238}}
\]
\[
=
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Transcribed Image Text:We found \( \sum (x_i - \overline{x})^2 = 238 \), \( s = 7.688 \), and the estimated regression equation \( \hat{y} = 0.5x + 18.8 \).
Recall \( t \) is calculated as follows using the slope \( b_1 \) from the estimated regression equation.
\[
t = \frac{b_1}{s_{b_1}} \quad \text{where} \quad s_{b_1} = \frac{s}{\sqrt{\sum (x_i - \overline{x})^2}}
\]
Combining these into a single equation, we have the following.
\[
t = \frac{b_1}{\frac{s}{\sqrt{\sum (x_i - \overline{x})^2}}}
\]
Find \( t \), rounding the result to three decimal places.
\[
t = \frac{b_1}{\frac{s}{\sqrt{\sum (x_i - \overline{x})^2}}}
\]
\[
= \frac{7.688}{\sqrt{238}}
\]
\[
=
\]
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