The correlogram and related statistics for a time series are included in the attached file. Use...
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The correlogram and related statistics for a time series are included in the attached file. Use these graphical and numerical figures to answer the following questions. a. Test whether the individual autocorrelations for time lag 1 and time lag 12 are significantly different from zero at the 0.05 significance level. (Write down the relevant hypotheses and show all steps of the testing process) b. Test the first five sample autocorrelations as a group for this times series at the 0.05 significance level.(Write down the relevant hypothesis and show all steps of the testing process) c. Summarize what the correlogram and corresponding statistics tell you about the series. Lag 1 2 3 LASA W 4 NNNNNNN 5 6 Autocorrelation Function: Monthly Occupancy for Motel Nin Autocorrelation 7 8 90T23 10 11 12 13 14 15 16 17 18 34 25 1607 Autocorrelation Function for Monthly Occupancy for Motel Nin (with 5% significance limits for the autocorrelations) 26 1,0 0,8 0,6 0,4 0,2 0,0 -0,2 -0,4 -0,6 -0,8 -1,0 0,224587 1,88 51,09 0,119031 0,97 52,98 0,339716 2,74 68,48 0,787959 5,99 152,64 0,326686 1,97 167,25 0,078791 0,46 168,10 0,154551 0,90 171,43 0,068225 0,39 172,09 -0,006225 -0,04 172,09 0,021814 0,13 172,16 19 -0,014180 -0,08 172,19 20 0,058205 0,34 172,69 21 0,117236 0,68 174,72 22 0,035913 0,21 174,91 23 0,232351 1,33 183,06 24 0,628620 3,56 243,32 0,236745 1,22 251,96 0,004919 0,02 251,96 27 0,068891 0,35 252,71 28 -0,004256 -0,02 252,71 2 + 50 8 ACF Т LBQ 0,437166 4,79 23,51 0,167799 1,56 27,01 0,265775 2,43 35,84 0,157474 1,37 38,97 0,066465 0,57 39,54 0,098423 0,84 40,78 0,066533 0,57 41,35 0,153695 1,30 44,44 10 12 14 16 18 20 22 24 26 Lag 28 30 The correlogram and related statistics for a time series are included in the attached file. Use these graphical and numerical figures to answer the following questions. a. Test whether the individual autocorrelations for time lag 1 and time lag 12 are significantly different from zero at the 0.05 significance level. (Write down the relevant hypotheses and show all steps of the testing process) b. Test the first five sample autocorrelations as a group for this times series at the 0.05 significance level.(Write down the relevant hypothesis and show all steps of the testing process) c. Summarize what the correlogram and corresponding statistics tell you about the series. Lag 1 2 3 LASA W 4 NNNNNNN 5 6 Autocorrelation Function: Monthly Occupancy for Motel Nin Autocorrelation 7 8 90T23 10 11 12 13 14 15 16 17 18 34 25 1607 Autocorrelation Function for Monthly Occupancy for Motel Nin (with 5% significance limits for the autocorrelations) 26 1,0 0,8 0,6 0,4 0,2 0,0 -0,2 -0,4 -0,6 -0,8 -1,0 0,224587 1,88 51,09 0,119031 0,97 52,98 0,339716 2,74 68,48 0,787959 5,99 152,64 0,326686 1,97 167,25 0,078791 0,46 168,10 0,154551 0,90 171,43 0,068225 0,39 172,09 -0,006225 -0,04 172,09 0,021814 0,13 172,16 19 -0,014180 -0,08 172,19 20 0,058205 0,34 172,69 21 0,117236 0,68 174,72 22 0,035913 0,21 174,91 23 0,232351 1,33 183,06 24 0,628620 3,56 243,32 0,236745 1,22 251,96 0,004919 0,02 251,96 27 0,068891 0,35 252,71 28 -0,004256 -0,02 252,71 2 + 50 8 ACF Т LBQ 0,437166 4,79 23,51 0,167799 1,56 27,01 0,265775 2,43 35,84 0,157474 1,37 38,97 0,066465 0,57 39,54 0,098423 0,84 40,78 0,066533 0,57 41,35 0,153695 1,30 44,44 10 12 14 16 18 20 22 24 26 Lag 28 30
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a Testing individual autocorrelations at lag 1 and lag 12 To test whether the individual autocorrelations at time lags 1 and 12 are significantly different from zero at the 005 significance level you ... View the full answer
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