topic badge
AustraliaVIC
VCE 12 General 2023

4.05 Forecasts

Interactive practice questions

The time series shown below charts the change in interest rates over a period of years.

Loading Graph...

A trend line has been fitted to the data as shown. The equation of the trend line is closest to

$\text{rate}=-1.1\times\text{year}$rate=1.1×year

A

$\text{rate}=-1.1+17\times\text{year}$rate=1.1+17×year

B

$\text{rate}=15.6-1.5\times\text{year}$rate=15.61.5×year

C

$\text{rate}=17-1.1\times\text{year}$rate=171.1×year

D

$\text{rate}=17+1.1\times\text{year}$rate=17+1.1×year

E
Easy
1min

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

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

Easy
3min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

U3.AoS1.30

model linear trends using the least squares line of best fit, interpret the model in the context of the trend being modelled, use the model to make forecasts with consideration of the limitations of extending forecasts too far into the future

What is Mathspace

About Mathspace