Answer: 1.129
Step-by-step explanation:
In statistics, the slope of the line is given by :-
[tex]b=r\dfrac{\sigma_y}{\sigma_x}[/tex],
[tex]\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,}[/tex]
[tex]\text{Given: }r=0.876\\\sigma_x=5.559\\\sigma_y=7.163[/tex]
Now, the slope of the line will be :-
[tex]b=0.876\times\dfrac{7.163}{5.559}\\\\\Rightarrow\ b =1.12876200756\approx1.129[/tex]
Hence, the lope of the line to three decimal places =1.129
