two-variable statistics
what is the name for a graph that compares and looks for a relationship between two quantitative varibles?
scatter plot
if two variables have a relationship where in increases as the other decreases what type of correlation is this?
negative correlation
what is the mathematical term for the set of all possible input (X) values
domain
find the zeros of the function f(x) =-2x+6.
3
what is the general form of an exponential function?
f(x)=a(b)^x
in the linear model y=-12.2x + 253, where y is chips in a bag and x is minutes, what does -12.2 represent?
the rate of change, specifically, eating 12.2 chips per minute.
in a two-way frequency table, what are the the totals in the far right column and bottom row called?
marginal frequencies
what is the set of all possible output (y) values?
range
given f(x)=2x+4 and g(x)=x-4, find f(4) - g(-1)
17
identify if F(x)=100(1.4)^x represents growth or decay
growth
what value indicates no correlation or association between two variables on a scatter plot?
An r value of 0
True of false: If a scatter plot shows a correlation coefficient of r= -0.13, there is a strong relationship between the variables.
false, it is a very weak relationship.
what test is used on a graph to determine if a relation is a function?
vertical line test
find the average rate of change for f(x)=3^x from x=1 to x=3
12
you invest $1,000 at 4% interest compounded yearly. Write the model
A=1000(1.04)^t
how would you describe the strength and direction of a scatter plot with a correlation coefficient of r=0.92?
strong, positive correlation
use the line of best fit y= -315.67x + 8986.5 to predict the value when x= 10
5829.8
evaluate F(5) for the function F(X) = x+4
9
what are the x-intercepts of a function also called?
zeros
is F(x)=100(0.5)^x an example of growth of decay?
exponential decay
what is the formula used to find the relative frequency in a two-way table?
[frequency/total]x100
what statistical principle warns that just because two variables are related, one does not necessarily cause the other?
correlation does not imply causation.
a function cannot have repeated values of which variable
The x-value (input)
write a linear function for the table: (1,8) (2,11) (3,14) (4,17)
f(x)=3x+5
write an equation for $2,000 deposited at 8% annual interest.
A=2000(1.08)^t