Answer:
With a correlation coefficient of 0.109 you can not be confident at all; this is about as close to a random guess you could get.
Step-by-step explanation:
Lines of best fit are used to try to make a correlation (relationship) about data that will either be positive (uphill), negative (downhill) or no correlation (points are scattered). Correlation coefficients based off of a line of best fit will fall between -1 and +1 where -1 would represent a perfect negative relationship and +1 would represent a perfect positive relationship. A correlation coefficient of 0 would indicate that there is no relationship. So, if your data shows a correlation coefficient of 0.109, which is closest to 0 on a number line, then you can't be sure that your data has a very close relationship.
Answer:
1386
Step-by-step explanation:
If you have trouble with that, you can multiply 66 by 20, then 66*1, and add them (break apart the 21.)
Answer:
C) Symmetric
Step-by-step explanation:
The symmetric property is the idea that if A = B, then B = A. Flipping the equation around doesn't matter.
It's like saying 2+3 = 5 is the same as 5 = 2+3. We can extend the symmetric property to not only deal with equations, but include congruence statements as well.
Answer:
when a>0 then you will have a cup so up
when a<0 then you will have a cap so down
Answer:
(53.812 ; 58.188) ; 156
Step-by-step explanation:
Given that :
Sample size (n) = 51
Mean (m) = 56
Standard deviation (σ) = 9.5
α = 90%
Using the relation :
Confidence interval = mean ± Error
Error = Zcritical * (standard deviation / sqrt (n))
Zcritical at 90% = 1.645
Error = 1.645 * (9.5 / sqrt(51))
Error = 1.645 * 1.3302660
Error = 2.1882877
Hence,
Confidence interval :
Lower boundary = 56 - 2.1882877 = 53.8117123
Upper boundary = 56 + 2.1882877 = 58.1882877
Confidence interval = (53.812 ; 58.188)
2.)
Margin of Error (ME) = 1.25
α = 90%
Sample size = ((Zcritical * σ) / ME)^2
Zcritical at 90% = 1.645
Sample size = ((1.645 * 9.5) / 1.25)^2
Sample size = (15.6275 / 1.25)^2
Sample size = 12.502^2 = 156.3000
Sample size = 156
