Based on a sample of 25 observations, the population regression modelyi = β0 + β1x1 + εiwas estimated. The least squares estimates obtained were as follows:b0 = 15.6 and b1 = 1.3The total and error sums of squares were as follows:SST = 268 and SSE = 204a. Find and interpret the coefficient of determination.b. Test, against a two-sided alternative at the 5% significance level, the null hypothesis that the slope of the population regression line is 0.c. Find a 95% confidence interval for β1.

Based on a sample of 25 observations, the population regression modelyi = β0 + β1x1 + εiwas estimated. The least squares estimates obtained were as follows:b0 = 15.6 and b1 = 1.3The total and error sums of squares were as follows:SST = 268 and SSE = 204a. Find and interpret the coefficient of determination.b. Test, against a two-sided alternative at the 5% significance level, the null hypothesis that the slope of the population regression line is 0.c. Find a 95% confidence interval for β1.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 31EQ

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