Based on a sample of n = 23, the least-squares method was used to develop the prediction line Y; = 8 + 3X;. In addition, Syx = 3.8, X= 6, and 2 (X; - X) = 23. Complete parts (a) and (b) below.i= 1Click here for page 1 of critical values of t. Click here for page 2 of critical values of t.a. Construct a 90% confidence interval estimate of the population mean response for X= 4.O< HYIX = 43(Round to four decimal places as needed.)b. Construct a 90% prediction interval of an individual response for X= 4.SYx=45(Round to four decimal places as needed.)

Solution: Given information: n= 23 observation The estimated regression equation Y^= 8+3Xi SYX=…

Answered: Based on a sample of n= 23, the…

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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Based on a sample of n=30,the least-squares method was used to develop the prediction line Yi=4+5Xi. In addition, SYX=3.2, X=7, and ∑i=1nXi−X2=30.Complete parts (a) and (b) below. a. Construct a 95% confidence interval estimate of the population mean response for X=3. ? ≤μY|X=3≤ ? (Round to four decimal places as needed.) b. Construct a 95% prediction interval of an individual response for X=3. ? ≤YX=3≤ ? (Round to four decimal places as needed.)
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We have estimated the impact of gross domestic product (GDP), energy consumption (ENERGY) and population (POP) on CO2 emiisions (CO2) in Cyprus. The results are as follows; Dependent Variable: CO2 Method: Least Squares Date: 04/20/17 Time: 09:46 Sample: 1990 2013 Included observations: 24 Variable Coefficient Std. Error t-Statistic Prob. C 2.002813 6.458672 0.310097 0.7597 GDP 0.022114 0.011872 1.862670 0.0773 ENERGY -0.734352 0.328388 -2.236233 0.0369 POP 0.203927 0.293686 0.694371 0.4954 R-squared 0.825079 Mean dependent var 3.625982 Adjusted R-squared 0.798841 S.D. dependent var 0.108170 S.E. of regression 0.048515 Akaike info criterion -3.062883 Sum squared resid 0.047074 Schwarz criterion -2.866541 Log likelihood 40.75460 Hannan-Quinn criter. -3.010793 F-statistic 31.44583 Durbin-Watson stat 1.410912…

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