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.
M/(30-15) = m/(30+15) + 1
m/15 = m/45 + 1
45*m/15 = 45*(m/45 + 1
3m = 45*(m/45) + 45*(1)
3m = m+45
3m-m = m+45-m
2m = 45
2m/2 = 45/2
m = 45/2
m=22.5
When you round to the nearest 10 thousand. Find the number in the 10 thousand place, that would be the 6 in this case, now look at the number to the right of it, if that number is 5 or higher, then your 67,000 becomes 70,000.
If the number to the right of place value is lower than 5 then it would have been rounded to 60,000.
Hope this helps you. :-)
The internal angles in a triangle add up to 180
I think the question should say
'2 angles in a triangle add up to 115 degrees'
so therefor
x+y+z=180
2 angles are x+y
115+z=180
z=3rd angle
solve
115+z=180
subtract 115 from boths ides
z=65
answer is third angle=65 degrees
