Bivariate Data
What is another name for a regression line?
Line of best fit
Write an equation of direct variation.
y = kx
Identify the number of edges a graph with a sum of degrees 30 will have.
15
An adjacency matrix is a ...... matrix that uses a zero or and integer to record the number of edges each pair of vertices in the graph.
Square
What would be the correlation be between study time and test grades?
Positive Correlation
A scientist is conducting an experiment on mice, seeing how their weight is affected by the volume of cheese they're given. What is the explanatory variable in this experiment?
Volume of cheese
Suppose y varies directly as x.
If y = -7 when x = -14, Find the constant of variation.
0.5 or 1/2
The number of vertices in a tree with 12 edges is:
13
For a graph to not be connected what must it have?
Isolated Vertex
For what types of variables is it appropriate to construct a scatterplot?
Two numerical variables
What is the strength and direction of the correlation if r=-0.72?
Moderate Negative
The width of a rectangle varies inversely with its length. If the width is 6 (x) when the length is 24 (y), find the constant of variation.
144
10 vertices divides the plane into five faces. The number of edges connecting the vertices in this graph will be:
13
What type of correlation (association) would we see in the scatter plot looking at how outside temperature associates with the amount of layers of clothing you wear.
Negative correlation
State the algorithm used for shortest path problems.
Correct spelling only.
Dijkstras
A keyboarding instructor at a community college collected data comparing a student's age and their typing speed. The equation for the line of best fit is given as: typing speed = -1.4 age + 117.8
If you are 25 years of age, what is your typing speed? Correct to nearest whole number.
83
The value of y is directly proportional to the value of x.
If y = 132 when x = 11, what is the value of y when x = 17?
y = 204
What is being described here:
'a walk that has no repeated edges that starts and ends at the same vertex'
Circuit
A network shows the walking tracks in a small national park. These tracks connect the campsites to each other and to the park office.
The Head Ranger decides that it is necessary to put gravel on some walking tracks to make them weatherproof.
What is the mathematical term used to describe the minimum length of track that will need to be gravelled to ensure that all campsites and the park office are accessible along a gravelled track?
Minimum Spanning Tree
y varies directly with x, and y is 84 when x is 16. Write the equation represents this situation.
y=5.25x
If a scatterplot has a coefficient of determination of 0.89 and a negative correlation. What is the value of its correlation coefficient? (4 sig fig)
-0.9433
The time it takes to fly from Los Angeles to New York varies inversely as the speed of the plane. If the trip takes 6 hours at 900 km/h, how long would it take at 800 km/h?
6.75 hours
A network shows the major roads connecting eight towns in Victoria and the distances between them.
An engineer based in Horsham needs to inspect each road in the network without travelling along any of the roads more than once. He would also like to finish his inspection at Horsham.
What is the mathematical term for engineers inspection?
Eulerian Circuit
A condition or piece of data in an experiment that is controlled or influenced by an outside factor is considered what type of variable?
Response
The number of hours to paint a house varies inversely with the number of painters working. A 2400-square foot house can be painted in 27 hours (x) by 6 painters (y). How many painters would need to work in order to paint the house in 18 hours?
9 painters