Get the Math and Points Aug 2016 CC Alg I Regents #6

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The correlation coefficient tells us if the two data sets “Overall Student Average” and “Math Class Average” are related.  Let’s put the data in order:

Overall Student Average   75  80  82  84  92  98
Math Class Average            75  85  78  85   91  95

Look at the trend:
The student with the lowest Overall Average has the lowest Math Class Average (75,75) and the highest Overall Average has the highest Math Class Average (98,95).
Looks like strong positive correlation as x gets bigger y is getting bigger which leads us to answer (2).

Here are some related links:
http://mathbitsnotebook.com/Algebra1/StatisticsReg/ST2CorrelationCoefficients.html
http://www.corestandards.org/Math/Content/8/SP/
https://www.khanacademy.org/math/probability/scatterplots-a1/creating-interpreting-scatterplots/e/correlation-coefficient-intuition

 

 

 

Get the Math and Points: Aug 2016 CC Alg I Regents #5

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This is a substitution question.
For answer 1, we substitute 3 for n and see if the answer is 2
Does (3-1)^2 +3(3) = 2? and looking at the table below, what is the y value when x = 3?

For answer 2, we substitute -2 for n and see if the answer is 3
Does (-2 – 1)^2 + 3(-2) = 3?
(-3)^2 – 6 = 9 – 6
If we put this equation into Y= using x instead of n we can find the answer on the table.
What is the y value when x = -2?  Is it -15 or is it 3?

Get the Math & Points: August 2016 CC Algebra I Regents #4

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f(x) means y!
What is the equation of a line?  y = mx + b where m is slope and b is the y-intercept.  So here the slope is -2 which means as x increases, y decreases.  Look at the 4 tables: only one of them is decreasing when x is increasing.
We need to look carefully because the x values skip from 0 to 2 to 4 to 6.
Let’s check this with the graphing calculator.  Two more points🙂