Scatterplots
Arithmetic Sequence 1
Arithmetic Sequence 2
Piecewise Functions
Hodge Podge
100
What does correlation coefficient, r, measure?
r measures the strength of the data in a scatterplot. It measures how close the line of best is to the actual data set.
100
Determine if this is an arithmetic sequence.
5, 1, -3, -7, ...
Yes
100
What is the explicit formula (equation) of a sequence?
an = a1 + d(n - 1)
100
Given the piecewise function below, what is f(-3)?
f(x)={(-2x+4, x<-2), (3x-4, x>=-2):}
f(-3)=10
100
Sketch a scatterplot that has a negative correlation.
Something like one of these. (The line is drawn to help emphasize the negative part. You don't have to have a line drawn, just the scatterplot.)
200
What type of correlation does this scatterplot have?
Positive correlation
200
Determine the value of g that makes the sequence an arithmetic sequence. 14, 9, 4, g, -6, ...
-1
200
From the sequence 2, 9, 16, 23, ... Find a12
79
200
Given the piecewise function below, what is f(3)?
f(x)={(-2x+4, x<-2), (3x-4, x>=-2):}
5
200
With the help of a calculator, determine the slope (nearest tenth) of the best fit line for this data?
x y
2 -1
4 3
6 6
8 8
10 11
12 14
m = 1.4
300
A scatterplot is being analyzed. If the value of r = -.35, what does this mean in terms of the data and it's correlation?
The data has a weak negative correlation.
300
What is the common difference in the sequence
3, -1, -5, -9,...
-4
300
From the sequence -8, -5, -2, 1, ... Find a10
19
300
Given the graph, what is f(-2)?
5
300
With the help of a calculator, determine the correlation coefficient of this data? What does the value tell you about the data?
x y
2 20
4 15
6 12
8 11
10 7
12 4
r = -0.9875; It is a strong, negative correlation.
400
A scatterplot is being analyzed. If the value of r = 0, what does this mean in terms of the data and it's correlation?
The data has no correlation.
400
What is the next term in the sequence
3, 8, 13, 18, ...
23
400
In an arithmetic sequence, if a1 = -20 and d = -6, find the 9th term.
-68
400
What is the function and domain for the section of the graph labeled C.
Function: f(x)=x+7 Domain:
-6<=x<=-2
400
Write an equation for the nth term of the following arithmetic sequence. -4, 2, 8, 14, 20, ...
a_n=-4+6(n-1)
500
A scatterplot is being analyzed. What is the difference between r = 0.96 and r = -0.96?
An r value of -0.96 would be a strong negative correlation where as an r value of 0.96 would be a strong positive correlation.
500
What is the common difference in the sequence
4, 7, 10, 14, 17, ...
Not an arithmetic sequence
500
If the 3rd term of an arithmetic sequence is 99 and the 12th term is 90, find the common difference
-1
500
Write the functions and domains for the following piecewise function.
f(x)={(-2x-5, x<-3), (2/3x, -3<=x<3), (-x, x>=3):}
500
With the help of a calculator, what is the equation of the line of best fit for the data below? Round numbers to the nearest hundredth.
y = 11.63x - 420.55