The required solution is a ) y = 90.2 x + 2729.8 , b ) m = 90.2 , c ) y - intercept = 2729.8 , d ) 3812 students , e ) No , it won't be equal to the actual population in 2012 because we are calculating estimated value .
Regression Line : y = mx + b
a ) y = 90.2 x + 2729.8where x represents years since 2000 and y represents students in Arlington High School
b ) m = 90.2 is the slope of the equation . The slope is interpreted as the change of y for a one unit increase in x . So, there's a change of 90.2 units in value of y for 1 unit change in x .
c ) y - intercept = 2729.8 . The y - intercept makes no sense as at no. of years = 0 , the avg no. of students in school = 2729.8 which is illogical .
d ) To predict population in year 2012 , put x = 12 in regression equation .y = 90.2 (12 ) + 2729.8 = 3812.2 ≈ 3812 students .
e ) No , it won't be equal to the actual population in 2012 because we are calculating estimated value .
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