Growth & Decay
What is a sequence?
A list of numbers.
what is the word for the long term direction of the data in a data set? (upwards or downwards).
Trend
if the points appears to be at random flunctuations around a straight line, what type of form the scatterplot have?
Linear form
A plane travels at 400km/h for 3 hours, how far does it travel?
1200km
An ice cream stores averages $30000 in sales per quarter, In winter, actual sales drop to $10000, but in summer they rise to $45000
A) calculate the seasonal index for winter
B) calculate the deseasonalised index for summer
B) $30000
Define both Arithmetic and Geometric Sequences.
Arithmetic - A sequence with a common difference.
Geometric - A sequence with a constant ratio.
What is a seasonal index?
multiplier which compares a specific time points average to the overall average of the data.
what is bivariate data?
2 variables/ relationships of 2 var
What is the anbgular distance between 23oW and 65oE?
90o
What is the formula for finding specific term values for both geometric and arithmetic sequences?
Arithmetic - tn=t1+(n-1)d
Geometric - tn=t1r(n-1)
if the seasonal index of Q2 is 0.85, what are the % of sales in that quarter compared to the average?
15% below average
When describing the realtionship of a scatterplot, what features is needed to identify the relationship?
Direction, form, strength
if it is 2:00pm in a GMT+10 location, what is the time in a GMT-5 location
11:00 pm previous day
Identify the relationship of the graph
Weak, positive with a linear association
Is this equation displaying linear growth or decay?: t1=9, tn+1=tn-4
Linear Decay.
What would the seasonal indices of a monthly report (1 year) add to?
12.0 (1.0 per month)
Weight and length of 40 new-born babies, what type of data is it?
Bivariate and numerical data
A ship travels 1,112 km south. how manz degrees of latitude has it travelled? use 111.2 km per degree.
10o south
A plane leaves sydney (33oS, 151oE) and travels to Tokyo (35oN, 139oE). It travels at an average speed of 800 km/h. How long is the flight?
9.6 hours
What is the millionth term of this sequence?:
3, 5, 7, 9, 11...
2,000,001
describe seasonality in a time series plot and give me an example of high seasonality?
Regular, repeating fluctuations tied to a fixed calendar period
B) An ice cream stores sales quarter is higher in summer.
when shown a non-linear graph, what is the other name for that graph?
Exponential graph
A plane travels from 35oS, 20oE to 15oN, 20oE. what is the angular difference, and in which direction did it travel?
50o North
6, 10, 14, 18, 22...
Given the arithmetic sequence above, How many terms in the sequence are SMALLER than 50,000?
12, 499.