Answer:
Option C is correct
Correlation coefficient of the following data is 0.37
Step-by-step explanation:
Correlation coefficient formula :
r = Σ [(
) × (
)] ÷ √ [Σ
× Σ
]
x = Data points in Data set x
y = Data points in Data set y
= Mean of Data set x
= Mean of Data set y
Now put all the values and sumation it as of given in the formula
Mean of Data set x = (1+4+8+6+2)÷5 = 21÷5 = 4.2
Mean of Data set y = (16+20+15+22+9)÷5 = 82÷5 = 16.4
Now put the values in the equation
r = Σ [(x - 4.2) × (y - 16.4)] ÷ √ [Σ
× Σ
]
Now put every single value of x and y and after we will get the required Correlation coefficient.
And that is Correlation coefficient of the following data is 0.37
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Answer:
D. 1.38
Step-by-step explanation:
To compare numbers, start with the left side.
You are comparing these numbers with 1.32:
A.1.02
B.1.23
C.1.31
D.1.38
Start with the leftmost digit, the 1. All numbers start with 1, so up to the units place, they are all the same. See below.
1.32
A. 1.02
B. 1.23
C. 1.31
D. 1.38
Now compare the next digit which is the tenths place.
1.32
A. 1.02
B. 1.23
C. 1.31
D. 1.38
Above, the number 1.32 has a 3 in the tenths place. 3 is greater than 0 and than 2, so options A and B are less than 1.32 and are eliminated.
1.32
C. 1.31
D. 1.38
Now we compare the digits in the hundredths place shown just above. 2 is greater than 1, but it is less than 8, so we eliminate option C.
Answer: D. 1.38
Answer:

Step-by-step explanation:
We have three similar triangles:

therefore the sides are in proportion:

We have AD = a, CD = 16 and BD = 4. Substitute:
<em>cross multiply</em>

and other proportion:

We have AB = b, BC = 16 + 4 = 20 and BD = 4. Substitute:
<em>cross multiply</em>

Hope this helps but the answer is A.(-5,2)
31.5 divided by 10 is 3.15