Find the linear regression equation for the transformed data. x=1,2,3,4,5 y=13,19,37,91,253 log y=1.114,1.279,1.568,1.959,2,403
Talja [164]
Answer:
The answer is OPTION (D)log(y)=0.326x+0.687
<h2>
Linear regression:</h2>
It is a linear model, e.g. a model that assumes a linear relationship between the input variables (x) and the single output variable (y)
The Linear regression equation for the transformed data:
We transform the predictor (x) values only. We transform the response (y) values only. We transform both the predictor (x) values and response (y) values.
(1, 13) 1.114
(2, 19) 1.279
(3, 37) 1.568
(4, 91) 1.959
(5, 253) 2.403
X Y Log(y)
1 13 1.114
2 19 1.740
3 37 2.543
4 91 3.381
5 253 4.226
Sum of X = 15
Sum of Y = 8.323
Mean X = 3
Mean Y = 1.6646
Sum of squares (SSX) = 10
Sum of products (SP) = 3.258
Regression Equation = ŷ = bX + a
b = SP/SSX = 3.26/10 = 0.3258
a = MY - bMX = 1.66 - (0.33*3) = 0.6872
ŷ = 0.3258X + 0.6872
The graph is plotted below:
The linear regression equation is log(y)=0.326x+0.687
Learn more about Linear regression equation here:
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First solve for the other angles.
You know one angle is 15º.
The one across from it is also 15º since it is a vertical angle to the known 15º angle.
Both of those together gets 30º.
The whole thing is 360º, so just subtract 30 from 360 and divide.
360 - 30 = 330
Do the same for the 15x angle.
The one under/across to it is a vertical angle so is also 15xº.
Now you are left with 30xº = 330.
Just divide now.
330 / 30 = 11
x = 11
15x = 165
Checking your work:
15x = 165
15x = 165
15
15
Those are the angles.
Add those numbers together and make sure it adds up to 360º.
165 + 165 + 15 + 15 = 360
So this is correct.
<span>a)
Z*_Upper = (76 - 62.7)/2.5 = 5.32
Z*_Lower = (57 - 62.7)/2.5 = -2.28
The requirement is to get p(-2.28 < Z < 5.32) = p(Z<5.32) - p(Z<-2.28).
Use normal distribution table to get the answer for p and multiply with 100 to get the percentage.
The other questions are now easy for you to answer on your own. Hope it helps.
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Answer:
X=-6
Step-by-step explanation:
4(1−x)+3x=−2(x+1)
(4)(1)+(4)(−x)+3x=(−2)(x)+(−2)(1)(Distribute)
4+−4x+3x=−2x+−2
(−4x+3x)+(4)=−2x−2(Combine Like Terms)
−x+4=−2x−2
−x+4=−2x−2
Step 2: Add 2x to both sides.
−x+4+2x=−2x−2+2x
x+4=−2
Step 3: Subtract 4 from both sides.
x+4−4=−2−4
x=−6
Answer:
x=−6
Answer:
a=35, b=14, c=5
Step-by-step explanation:
b+6=20, b+6-6=20-6, b=14
4c-6=14, 4c-6+6=14+6, 4c=20, 4c/4=20/4, c=5
a triangle's angles always add up to 180, 180-55-90(the square means right angle)=35
