hi
here is the method :
you take Value 1 and Value 2
And you do : ( Value 2 - Value 1) / (Value 1 ) * 100
Here we have : Value 1 = 352 000
Value 2 = 337 920
So now we apply :
( 337 920 - 352 000 ) / ( 352 000) * 100 = -4
Population decreased by by 4 %
You can also make :
352 000 * X = 337 920
X = 337 920 / 352 000
X = 0.96
if the multiplier is 0.96 , it's mean that we lost 1 -0.96 = 0.04
which mean - 4%
Answer:
4/1. with an intercept of 5
Answer: 1) The best estimate for the average cost of tuition at a 4-year institution starting in 2020 =$ 31524.31
2) The slope of regression line b=937.97 represents the rate of change of average annual cost of tuition at 4-year institutions (y) from 2003 to 2010(x). Here,average annual cost of tuition at 4-year institutions is dependent on school years .
Step-by-step explanation:
1) For the given situation we need to find linear regression equation Y=a+bX for the given situation.
Let x be the number of years starting with 2003 to 2010.
i.e. n=8
and y be the average annual cost of tuition at 4-year institutions from 2003 to 2010.
With reference to table we get

By using above values find a and b for Y=a+bX, where b is the slope of regression line.

and

∴ To find average cost of tuition at a 4-year institution starting in 2020.(as n becomes 18 for year 2020 if starts from 2003 ⇒X=18)
So, Y= 14640.85 + 937.97×18 = 31524.31
∴The best estimate for the average cost of tuition at a 4-year institution starting in 2020 = $31524.31