Question

A nationwide club begins a chapter near you. You research the memembership of the club over the past few decades. The table shows your data what is the equation for a line of best fit? How many members would you expecf to be in the year 2019?
The table looks like:
YEAR: 1980 MEMBERSHIP:5,7000
YEAR: 1985 MS: 7,200
YEAR: 1990 MS: 8,600
YEAR: 1995 MS: 10,100
YEAR: 2000 MS: 11,500
YEAR 2005 MS: 12,500

Answer 1

So how would you work this, I have an idea but want you to tell me what you think.

Answer 2

I have no idea I've been trying to figure it out forever. I tried adding all the memberships but I don't think that's right

Answer 3

I plot the data point for the every 5 year period

I noted the delta between each 5 year data point and it peaked at 1995 and started trend down

I just plotted the future data trending down slowly. Does this make sense?

Answer 4

MEMBERSHIP Delta
YEAR: 1980: 5,700
YEAR: 1985 MS: 7,200 1500
YEAR: 1990 MS: 8,600 1400
YEAR: 1995 MS: 10,100 1500
YEAR: 2000 MS: 11,500 1400
YEAR 2005 MS: 12,500 1000

Is the last membership number typed correct? Is it really 12,500?

Answer 5

If the last membership number was 12,900 I would see better trend for the analysis.

Answer 6

Yes it's 12,500 on my paper :(

Answer 7

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Answer 8

YEAR: 1980: 5,700
YEAR: 1985 MS: 7,200 1500 = 7200 - 5700
YEAR: 1990 MS: 8,600 1400 = 8600 - 7200
YEAR: 1995 MS: 10,100 1500
YEAR: 2000 MS: 11,500 1400
YEAR 2005 MS: 12,500 1000 the trend seems to be declining

YEAR: 2010 MS: 13,100 600 I kept a declining trend
YEAR: 2015 MS: 13,400 300
YEAR: 2020 MS: 13,450 50

So in my estimate at year 2019 the membership will be _____________? Your guess is as goo as mine.