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
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Answer:
0.0625 of the students recorded the show.
Step-by-step explanation:
2/3×3/8×1/4= the fraction of people who watched and recorded the show (0.0625)
The answer is d.
Finding area of ABCD :
- Find side length
2. Apply formula to find area
Finding area of GHIA :
Finding area of DEFG :
Now, let's see whether is true.
- Area (ABCD) - Area (GHIA) = Area (DEFG)
- 25 - 16 = 9
- 9 = 9
∴ Hence, it is proved √
No; a domain value has two range values.
x = -2 then y = 1 and 2
they would form a vertical line, which tells us that it's not a function