A least squares regression line is fitted to seasonally adjusted data and is given by:

$y=4.5493t+48.9941$`y`=4.5493`t`+48.9941

a

Calculate the predicted deseasonalised value for time period $15$15, to four decimal places.

b

If the seasonal index for this period was $69$69%, calculate the true predicted value to four decimal places.

Easy

Approx 3 minutes

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Carry out investigations of phenomena, using the statistical enquiry cycle: A conducting experiments using experimental design principles, conducting surveys, and using existing data sets B finding, using, and assessing appropriate models (including linear regression for bivariate data and additive models for time-series data), seeking explanations, and making predictions C using informed contextual knowledge, exploratory data analysis, and statistical inference D communicating findings and evaluating all stages of the cycle.

Investigate bivariate measurement data