Given:
The equation of the line of best fit is :
[tex]y=4.722392638x+50.99539877[/tex]
To find:
The x-intercept and check whether it make sense in this context.
Solution:
We have,
[tex]y=4.722392638x+50.99539877[/tex]
Substitute [tex]y=0[/tex] to find the x-intercept of the given best fit line.
[tex]0=4.722392638x+50.99539877[/tex]
[tex]-50.99539877=4.722392638x[/tex]
[tex]-\dfrac{50.99539877}{4.722392638}=x[/tex]
[tex]-10.7986359202=x[/tex]
So, the x-intercept is at point (-10.7986359202,0). It means the score on final examination is 0 if -10.7986359202 hours spent on studying.
But is does not make sense because the number of hours cannot be negative.
