Question

The following table shows the number of Netflix subscribers at the end of each year.

YearSubscribers (millions)2016. 2017. 2018. 2019.

90.   112. 140. 168.

(a) Find the least-squares regression line for the number of subscribers using the methods taught in this course.

Tip: You may let ?=1x=1 represent the year 2016 if you like.

(b) Use the least-squares regression line to predict the number of Netflix subscribers at the end of 2020.

Answer 1

X	Y	XY	X^2	Y^2
2016	90	181440	4064256	8100
2017	112	225904	4068289	12544
2018	140	282520	4072324	19600
2019	168	339192	4076361	28224

n	4
sum(XY)	1029056.00
sum(X)	8070.00
sum(Y)	510.00
sum(X^2)	16281230.00
sum(Y^2)	68468.00

b	26.20
a	-52731.00

a)

ycap = a+ bx

ycap = -52731 + 26.20x

b)

when x = 2020

ycap = -52731 + 26.20x

ycap = -52731 + 26.20 * 2020

ycap = 193