Question

Suppose the line of best fit is being found for some data points that have an r-value of 0.876. If the standard deviation of the x-coordinates is 5.559, and the standard deviation of the y-coordinates is 7.163, what is the slope of the line to three decimal places?

Answer 1

Answer: 1.129

Step-by-step explanation:

In statistics, the slope of the line is given by :-

$b=r\dfrac{\sigma_y}{\sigma_x}$,

$\text{where r is correlation coefficient,}\\\sigma_y\text{ is standard deviation of the y-coordinates,}\\\sigma_x\text{ is standard deviation of the x-coordinates,}$

$\text{Given: }r=0.876\\\sigma_x=5.559\\\sigma_y=7.163$

Now, the slope of the line will be :-

$b=0.876\times\dfrac{7.163}{5.559}\\\\\Rightarrow\ b =1.12876200756\approx1.129$

Hence, the lope of the line to three decimal places =1.129

Answer 2

1.129 is the answer i promise