C. the outlier will most likely be the answer to this question
D. his loan application will be denied. ( and he probably does have a high credit score.) Hope this helps (=^-^=)
Answer:
Step-by-step explanation:
In an isosceles trapezoid, the opposite sides are equal.
The formula for determining the area of a trapezoid is expressed as
Area = 1/2(a + b)h
Where
a and b are the length of The bases are the 2 sides of the trapezoid which are parallel with one another.
h represents the height of the trapezoid.
From the information given,
a = 6
b = 8
height = 16
Therefore,
Area of trapezoid = 1/2(6 + 8)16
= 1/2 × 14 × 16 = 112 square units
Answer:
The value of P(A and B) is 1/10
Step-by-step explanation:
In case of independent events, the probability of one event doesn't depend on the probability of other events.
Therefore, for an independent events
P(A and B) = P(A) × P(B)
P(A and B) = 2/5 × 1/4
P(A and B) =2/20
P(A and B) =1/10
Therefore, the value of P(A and B) is 1/10
Answer:
a) r=-0.719
b) y=10.642-0.976x
c)Predicted y=7.714
Step-by-step explanation:
a)
sumx=1+4+6+7=18
sumy=9+7+8+1=25
sumxy=1*9+4*7+6*8+7*1=92
sumx²=1²+4²+6²+7²=102
sumy²=9²+7²+8²+1²=195
n=number of observation=4
The correlation coefficient is computed by following formula
![r=\frac{nsumxy-(sumx)(sumy)}{\sqrt{[nsumx^{2} -(sumx)^2][nsumy^2-(sumy)^2]}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bnsumxy-%28sumx%29%28sumy%29%7D%7B%5Csqrt%7B%5Bnsumx%5E%7B2%7D%20-%28sumx%29%5E2%5D%5Bnsumy%5E2-%28sumy%29%5E2%5D%7D%7D)
![r=\frac{4(92)-(18)(25)}{\sqrt{[4(102) -(18)^2][4(195)-(25)^2]}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B4%2892%29-%2818%29%2825%29%7D%7B%5Csqrt%7B%5B4%28102%29%20-%2818%29%5E2%5D%5B4%28195%29-%2825%29%5E2%5D%7D%7D)
![r=\frac{368-450}{\sqrt{[408 -324][780-625]}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B368-450%7D%7B%5Csqrt%7B%5B408%20-324%5D%5B780-625%5D%7D%7D)
![r=\frac{-82}{\sqrt{[84][155]}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B-82%7D%7B%5Csqrt%7B%5B84%5D%5B155%5D%7D%7D)

By rounding r to 3 decimal places we get r=-0.719.
b)
The regression equation can be written as y=a+bx
We have to find "a" and "b" for regression equation




b=-0.976
xbar=sumx/n
xbar=18/4=4.5
ybar=sumy/n
ybar=25/4=6.25
a=ybar-b(xbar)
a=6.25-(-0.976)4.5
a=6.25+4.392
a=10.642
Thus, the regression equation is
y=a+bx
y=10.642-0.976x
c)
The predicted value of y for x=3 can be computed by putting the value of x in regression equation
y=10.642-0.976(3)
y=10.642-2.928
y=7.714
Hence, the predicted y-value for x=3 is 7.714.