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Since we know that a number is divisible by 3 if the sum of all digits is divisible by 3.
Let us check which digits will make 371? divisible by 3.
11 is not divisible by 3.
Now let us check other digits as well.
12 is divisible by 3.
15 is also divisible by 3.
18 is divisible by 3 as well.
Therefore, 1, 4 and 7 in tenth place will make our number divisible by 3 and our numbers will be 3711, 3714 and 3717.
Given:
The speed, s, is measured in miles per hour, and distance, y, is measured in yards.
The regression line is given by
...(i)
To find:
The slope and y-intercept of the regression line.
Solution:
The general form of linear regression line is
...(ii)
where x is variable. In the given equation the variable is denoted by s.
On comparing (i) and (ii), we get
It means slope is 52.45 and y-intercept is 4.17.
The slope, b = 52.45, indicates that the distance increases by 52.45 yards for every one mile per hour of speed.
The y-intercept, a = 4.17, is the distance estimated by this model if the speed is zero miles per hour.
Therefore, the correct option is A.