Answer:
The eldest of them is Brian and he is 24 + 2 = 26 years old.
Step-by-step explanation:
Let
Malachy age = a
Brian age = a + 2
Caroline age = a - 8
Total of their age = a + (a + 2) + (a - 8)
66 = a + (a + 2) + (a - 8)
collect like terms
66 = a + a + 2 + a - 8
66 = a + a + a - 6
3a = 66 + 6
3a = 72
divide both sides by 3
a = 72/3
a = 24
Malachy age is 24 . Caroline is 24 - 8 = 16 years old.
The eldest of them is Brian and he is 24 + 2 = 26 years old.
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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No. When you plug in x and y you get 2=3
Answer: x = -10
Step-by-step explanation:
Answer:
5+x^2
Step-by-step explanation:
five more (5+) than a number squared (x^2)