Scientists have predicted that an increase in sea level is one of the likely consequences of climate change associated with the enhanced greenhouse effect. The sea level of a particular place is measured using tide gauges. A tide gauge is a device built to measure water-level variations due to tides and weather and to eliminate effects due to waves. The file Assignment2-Q2.xls contains time series data on sea level at Fort Denison in Sydney Harbour from 1949 to 2006. Consider the simple regression model SEALEVEL = _0 +_1YEAR + _
(a) Estimate this model and report the results.
(b) Interpret the estimate for _1.
(c) Why is it difficult to interpret the estimate for _0?
(d) Test a null hypothesis that the average sea level is not changing against an alternative that it is changing over time. Use a 5% significance level.
(e) Without carrying out a formal hypothesis test, can you say immediately what the test decision in (d) would be if the alternative was that the average sea level is increasing?
(f) Predict the sea level in 2008.
(g) Find a 95% interval prediction for the sea level in 2008 (Hint: you may use Excel command =DEVSQ(A#:A##) to calculate SSx.)
SOURCE https://www.pol.ac.uk/psmsl/pubi/met.monthly.data/680140.metdata mean sea level for each year at fort denison in sydney harbour (mm's)
Attachment:- 260321_1_assignment-2.docx