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Suppose that the fitted regression line is ĝ = 10+5x has been fitted to the data points (1,14), (3,24), (2,18), (1,17), (3,27) a) Compute total sum of squares (SST), sum squares of regression (SSR), sum squares of error (SSE), the coefficient of determination (R²), and correlation of x and y. b) Construct the ANOVA table. c) Test for the statistical significance of the slope coefficient at 5% significance level using F-distribution using critical value approach (Show all steps of the five step procedure).

Suppose that the fitted regression line is ĝ = 10+5x has been fitted to the data points (1,14), (3,24), (2,18), (1,17), (3,27) a) Compute total sum of squares (SST), sum squares of regression (SSR), sum squares of error (SSE), the coefficient of determination (R²), and correlation of x and y. b) Construct the ANOVA table. c) Test for the statistical significance of the slope coefficient at 5% significance level using F-distribution using critical value approach (Show all steps of the five step procedure).

MATLAB: An Introduction with Applications
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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Suppose that the fitted regression line is ĝ= 10+5x has been fitted to the data points (1,14), (3,24), (2,18), (1,17), (3,27) a) Compute total sum of squares (SST), sum squares of regression (SSR), sum squares of error (SSE), the coefficient of determination (R²), and correlation of x and y. b) Construct the ANOVA table. c) Test for the statistical significance of the slope coefficient at 5% significance level using F-distribution using critical value approach (Show all steps of the five step procedure).
Transcribed Image Text:Suppose that the fitted regression line is ĝ= 10+5x has been fitted to the data points (1,14), (3,24), (2,18), (1,17), (3,27) a) Compute total sum of squares (SST), sum squares of regression (SSR), sum squares of error (SSE), the coefficient of determination (R²), and correlation of x and y. b) Construct the ANOVA table. c) Test for the statistical significance of the slope coefficient at 5% significance level using F-distribution using critical value approach (Show all steps of the five step procedure).
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