PLEASE HELP! 20 POINTS!An equation was created for the line of best fit from the actual enrollment data. It was used to predict
the dance studio enrollment values shown in the
table below:
Month
Enrollment
January February March April May June
Actual 500 400 550 550 750 400
Predicted 410 450 650 650 600 450
Residual 90
-50
-100 -100 150 -50
Analyze the data. Determine whether the equation that produced the predicted values represents a good line of best fit
O No, the equation is not a good fit because the sum of the residuals is a large number
No, the equation is not a good fit because the residuals are all far from zero.
Yes, the equation is a good fit because the residuals are not all far from zero.
Yes, the equation is a good fit because the sum of the residuals is a small number
table below:
Month
Enrollment
January February March April May June
Actual 500 400 550 550 750 400
Predicted 410 450 650 650 600 450
Residual 90
-50
-100 -100 150 -50
Analyze the data. Determine whether the equation that produced the predicted values represents a good line of best fit
O No, the equation is not a good fit because the sum of the residuals is a large number
No, the equation is not a good fit because the residuals are all far from zero.
Yes, the equation is a good fit because the residuals are not all far from zero.
Yes, the equation is a good fit because the sum of the residuals is a small number
2 answers:
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Answer:
If is divisible by 3, the n is also divisible by 3.
Step-by-step explanation:
We will prove this with the help of contrapositive that is we prove that if n is not divisible by 3, then, is not divisible by 3.
Let n not be divisible by 3. Then can be written in the form of fraction
, where x and y are co-prime to each other or in other words the fraction is in lowest form.
Now, squaring
Thus,
It can be clearly seen that the fraction is in lowest form.
Hence, is not divisible by 3.
Thus, by contrapositivity if is divisible by 3, the n is also divisible by 3.