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Virty [35]
3 years ago
6

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?
Mathematics
2 answers:
Lady bird [3.3K]3 years ago
7 0

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

Nezavi [6.7K]3 years ago
3 0
1.129 is the answer i promise 
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