Consider the monthly time series shown in the table. Month t Y January 1 185 February 2 192 March 3 189 April 4 201 May 5 195 June 6 199 July 7 206 August 8 203 September 9 208 October 10 209 November 11 218 December 12 216 Use the method of least squares to fit the model E(Yt) = β0+ β1t to the data. Write the prediction equation. Use the prediction equation to obtain forecasts for the next two months. Find 95% forecast intervals for the next two months.

Consider the monthly time series shown in the table. Month t Y January 1 185 February 2 192 March 3 189 April 4 201 May 5 195 June 6 199 July 7 206 August 8 203 September 9 208 October 10 209 November 11 218 December 12 216 Use the method of least squares to fit the model E(Yt) = β0+ β1t to the data. Write the prediction equation. Use the prediction equation to obtain forecasts for the next two months. Find 95% forecast intervals for the next two months.

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 33EQ

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