For a parallel line the slope of the lines/equations will be the same but for perpendicular line the slope will be the negative reciprocal
-(1/4)*x+b
b=2-(-1/4)*8
The regression equation is calculated as: ŷ = -0.99299X + 26.39918
<h3>How to solve for the regression equation</h3>
We have these data for the x axis
12 15 20 22 15 8 6 17
These are the values for the y axis
17 15 6 7 6 18 21 7
Sum of X = 115
Sum of Y = 97
Mean X = 14.375
Mean Y = 12.125
Sum of squares (SSX) = 213.875
Sum of products (SP) = -212.375
Regression Equation = ŷ = bX + a
b = SP/SSX = -212.38/213.88 = -0.99299
a = MY - bMX = 12.13 - (-0.99*14.38) = 26.39918
ŷ = -0.99299X + 26.39918
These values where inputted into a regression analysis calculator and the output is ŷ = -0.99299X + 26.39918
Read more on regression equation here:
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If the number behind the decimal is 5 or higher then the whole number rounds up one number. If the number behind the decimal is below 5 then the whole number would stay the same, just without the number behind the decimal point. So because 7 is above 5, we are going to add one to the whole number so...4+1=5
So your number rounded would be 5:D
Answer:
B.) f⁻¹(x) = (1/9)x - 7/9
Step-by-step explanation:
Remember, f(x) is another way of writing "y". The inverse can be found by swapping the positions if the "x" and "y" variables and then solving to isolate the "y" variable.
f(x) = 9x + 7 <----- Original function
y = 9x + 7 <----- Substitute f(x) for "y"
x = 9y + 7 <----- Swap variable positions
x - 7 = 9y <----- Subtract 7 from both sides
(x - 7) / 9 = y <----- Divide both sides by 9
(1/9)x - 7/9 = y <----- Divide each term individually by 9
The inverse function is represented by the symbol f⁻¹(x).
Answer:
If you want the area of something with the sides 14cm and 7cm then it would be 98 cm.
Step-by-step explanation:
Area = length * width
Area = 14 cm * 7 cm
Area = 98 cm