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Need help on a statistics question

Need Help On A Statistics Question class=

Sagot :

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.