Consider the following data points.
2 answers:
Answer:
the equation of the least-squares line for the data is:
Step-by-step explanation:
In a simple linear regression model, such as, , the coefficients bo and b1 are estimated through the method of least squares by the use of the equations:
For the data provided you have to:
, thus:
the equation of the least-squares line for the data is:
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Given:
A number when divided by 780 gives remainder 38.
To find:
The reminder that would be obtained by dividing same number by 26.
Solution:
According to Euclis' division algorithm,
...(i)
Where, q is quotient and is the remainder.
It is given that a number when divided by 780 gives remainder 38.
Substituting in (i), we get
So, given number is in the form of , where q is an integer.
On dividing by 26, we get
Since q is an integer, therefore (30q+1) is also an integer but is not an integer. Here 26 is divisor and 12 is remainder.
Therefore, the required remainder is 12.