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3 years ago

Express each quotient in the simplest form. 3/j divided by 9/j

1 answer:

8 0

$\dfrac{3}{j}:\dfrac{9}{j}=\dfrac{3}{j}\cdot\dfrac{j}{9}=\dfrac{3}{9}=\dfrac{3:3}{9:3}=\dfrac{1}{3}$

Answer: B. 1/3

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Hoochie [10]

Answer:

the equation of the least-squares line for the data is: $\hat Y=9.3+1.3x$

Step-by-step explanation:

In a simple linear regression model, such as, $\hat Y=b_0+b_1x$ , the coefficients bo and b1 are estimated through the method of least squares by the use of the equations:

$b_1=\frac{S{xy}}{S_x^2}\\\\b_0=\bar{y}+b_1 \bar{x}$

For the data provided you have to:

$S_{xy}=\frac{\sum {(x_i-\bar x)(y_i-\bar y)}}{n-1}=3.25\\\\S_x^2=\frac{\sum {(x_i-\bar x)^2}}{n-1}=2.5\\\\\bar y=5.4$ , thus:

$b_1=\frac{3.25}{2,5}=1.3\\\\b_0=5.4+1.3(3.0)=9.3$

the equation of the least-squares line for the data is:

$Y=9.3+1.3x$

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