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:
brainly.com/question/3532703
#SPJ10
Answer:
<em>( - 36, 24 ) </em>
Step-by-step explanation:
(- 9, 6) ------> ( - 9×4, 6×4) = <em>( - 36, 24 )</em>
Now if we have 7.5 pounds of apples first we need to convert 1 pound into ounces.
1 pound = 16 ounces.
Now we know how many ounces are in one pound. So lets take the 16 ounces for 1 pound and multiply by the 7 full pounds of apples. This excluding the 1/2 pound of apples.
7 x 16 = 112
(7 being the weight in pounds of the apples, 16 being 16 ounces in one pound, and 112 is how any ounces are in 7 pounds of apples.)
So now we have the amount of ounces in 7 pounds of apples.
But we are not done. We still have the 1/2 pound of apples. So we take 16 being 1 pound of apples and divide it by 2.
16 divided by 2 = 8
That 1/2 pound of apples = 8 ounces.
So now we have our 7 pounds of apples in ounces (112) and our 1/2 pound of apples in ounces (8)
So we add these back up in ounces
112 + 8 = 120.
So now we can conclude:
7.5 pounds of apples is 120 ounces
Hope this helps!
Brainliest is always appreciated if you feel its deserved! :)
For this case we have that by definition, a direct variation is given by:
Where:
k: It is the constant of proportionality of the variables.
On the other hand, we have that the inverse variation is given by:
Where:
k: It is the constant of proportionality of the variables.
In this way, the correct option is: 
ANswer:
Option A
Answer:
x=1
Step-by-step explanation:
-4+7x=3 add 4 to both sides
7x=7 divide 7 on both sides
x=1
