Lines
Question One: Below are the median market return and median stock
Median Return for S&P 500 and Apple by
S&P 500 Return Tercile
 
Tercile

Median Market Return

Median Apple Return

1

0.0061

0.0034

2

0.0124

0.0147

3

0.0285

0.0569

Median monthly returns from 1980 to 2017. Data was sorted by smallest to largest S&P 500 returns and placed into terciles by S&P 500 return.
Consider the market return variable to be your X variable and the median Apple return to be your Y variable. Provide an equation of the form Y=mx+b with the slope defined by the third and first quartile and with the line running through (X,Y) of the second tercile.
Answer to Lines Problem One:
Question Two: A gym has a membership with both a lump sum annual fee denoted L and a pertime visit fee of f. The total amount spent by a member during a year is denoted Y and the number of visits per year is denoted X. The equation for total amount spent is of the form
Y=L+f*X
I have data on total amount spent and total number of visits for two people.
Visits

Dollars Spent

45

700

30

550

What is the value of L, the lump sum annual fee, and the value of f, the pervisit fee?
Answer to Lines Problem Two:
Question Three: A gym offers two type of memberships. The first membership has a $200 upfront fee and a $40 a monthly charge. The second membership has a $50 upfront fee and a $70 monthly charge. How many months must a person be a member of the gym in order for the first membership to be less expensive than the second membership?
Answer to Lines Problem Three
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