Chapter 10 Flashcards
What is the Slope-Intercept Formula?
y=mx+b
m and b are constants
m=slope
b=y-intercept
pg. 544
What is correlation?
exists between 2 variables when a change in the values of one variable are associated with a predictable change in the values of the other variable
pg. 546
What is a linear correlation?
When that data falls along or near a stright line with a positive or negative slope when plotted in an x-y coordinate system
pg. 546
What does it mean to have a positive correlation?
when a line has a positive slope, x and y increase together
graph looks like /
pg. 547
What does it mean to have a negative correlation?
when a line has a nnegative slope, x increase and y decrease
graph looks like \
pg. 547
What does it mean to have a no correlation?
a line has zero slope, y doesn’t change when x changes or there is no line to be seen scattered plot
pg. 548
What is a linear correlation?
using r to see if that data is a “good fit” for the line, measures the strength of the correlation
r does NOT give the slope(shape) of the line
pg. 551
What is the range for r?
It must be between 1 and -1
if it’s 1 then it’s perfect positive linear correlation
if it’s -1 then it’s perfect negative linear correlation
if it’s 0 then there is no linear correlation
pg. 552 and 553
What is the null hypothesis for linear correlation?
Hsub0: is always that the data sets have zero correlation
The claim is that the data sets have a linear correlation
use support and not support
pg. 559
How do you find r using the calculator?
data under L1/L2
Stat
Calc
LinReg(ax+b)
a=slope
b=y-intercept
pg. 560
How do you make a prediction with regression line?
regression=best fit
only use when there is a linear correlation if not then use the mean of y-values
y=mx+b is the regression line then you plug in the values
pg. 562
What are the steps on the test?
a) find the r
b) find the critical values
c) determine if there is enough evidence to support the claim (yes or no)
d) find the regression equation (y=mx+b)
e) use the correct procedure to find the indicated predicted value
pg. 564