Question

1. The table below shows the number of students in Arlington High School from the number of years since
2000.
2
3
4
5
6
2892 3042 3087 3136 3296
Number of years since 2000
Number of students at Arlington
High School
a. Determine the regression line using a calculator.
b. Identify and interpret the slope in the context of the equation.
c. Identify and interpret the y-intercept in the context of the equation.
d. Use your model to predict the population of Arlington High School in the year 2012. Round your
answer to the nearest whole number.
e. Is your answer in (d) going to be equal to the actual population in 2012? Explain.

Answer 1

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 .

To learn more on regression go on :

https://brainly.com/question/5586207

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