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).

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 62CR
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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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