Bivariate Data
The graph used to display the relationship between two numerical variables.
A scatterplot
What is the 23rd term in this sequence?
15, 7, -1,....
-161
Which student had the highest attendance for the year?
Lily!
96% attendance!
2
If v - e + f = 2, and a connected planar graph has 10 vertices and 5 faces, how many edges does it have?
13
The range of r values that indicate a strong negative relationship
-0.75 to -1
Which term is the first term to exceed 1,000,000 in this sequence?
7, 14, 28, 56, ...
19th
The number of lesson of General Maths that you could have attended this year if you were enrolled for the entire year (including next Monday's lesson).
91
3x - y = 6
Slope = 3
y-intercept = -6
Name the conditions necessary for an Euler Trail (be specific) and the conditions necessary for an Euler circuit.
Euler Trail: must have 2 odd vertices, and you must start at one odd vertex and finish at the other.
Euler Circuit: must have all even vertices.
Interpret the slope in this regression line:
$ spent on food = -42.864 + 0.48 X income ($)
The money spent on food increases by 48 cents when the amount of income increases by $1
The rule for a sequence that has first term of 90 and geometric growth of 20%.
tn = 90 x 1.2n-1
During the year, 2 students moved out of our class and 4 students joined us.
Write down the names of the 6 students involved.
Scarlett, Angela
Ella, Charli, Sophia, Jay
The amount of water in a pool can be found using the equation
A = 20t + 5
where A is the amount of water in Litres, and t is the time in minutes.
The pool holds 500L of water. How long does it take to fill? Answer must be given in minutes and seconds!
24.75 minutes = 24 minutes and 45 seconds
Write down the adjacency matrix for the diagram on the board.
A B C D E F
A 0 0 1 1 2 0
B 0 0 1 0 0 1
C 1 1 1 0 0 0
D 1 0 0 0 0 1
E 2 0 0 0 0 0
F 0 1 0 1 0 1
You are required to draw a regression line onto a scatterplot. The x axis on the scatterplot starts at 50 and finishes at 110.
Find two points you would use to plot the regression line with equation:
y = 53.6 + 17.1x
(50, 908.6) (110, 1934.6)
(60, 1079.6) (100, 1763.6)
Write a recurrence relation that can be used to model a simple interest investment of $5000 paying simple interest at the rate of 10% per year.
V0 = 5000 Vn+1 = Vn + 500
I posted two photographs on our team page this year.
Describe both of them (be specific).
1. Me wearing odd shoes to school.
2. Me marking your SACs in the hairdresser.
Write down 3 pairs of variables where you would expect a negative relationship.
$300 for the team who has three appropriate pairs.
Which pairs of graphs are isomorphic?
There are TWO PAIRS of isomorphic graphs
Graphs 2 & 4
Graphs 5 & 6
Find the regression line for this data:
Enter the data on your calculator
Important: write down the answer, rounding values to 3 sig figs and using correct variable names.
Icecreams Sold = 2.43 + 4.32 x Max Temp
A car is purchased for $20,500, and is depreciating using reducing balance depreciation a the rate of 10% per year. How much will it be worth after 10 years?
$7147.91
Who had trouble waking up?
5 of us had trouble getting to school on time this year (we know it will be different next year!)
Up until yesterday, the top five latecomers in alphabetical order were:
Eloise, Greta, Kim, May, Sally.
Name the three highest latecomers in order from most lates, 2nd most lates, 3rd most lates.
1. May (11)
2. Kim (10)
3. Greta (8)
Sally & Eloise both had 7 lates.
Write down the equations of these 3 lines:
1. A gradient of 2 passing through the point (3, 7)
2. Passing through the points (1, 6) and (3, 0)
3. Parallel to the x-axis and passing through (2, 5)
1. y = 2x + 1
2. y = -3x + 9
3. y = 5
Find the minimum spanning tree (and it's length) for the given network diagram
Length = 161 km.