Math In Restaurants Worksheet With Answers Page 3
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11Answer Key
Math in Restaurants: Take the challenge
Steps to follow when using TI-84:
1. Turn “DiagnosticsOn”.
2. Press Second Catalog and scroll down to DiagnosticsOn.
3. Press Enter twice so it is on.
4. Enter the data in L1 and L2. To find the r value, press STAT, CALC, 4-Linreg(ax+b).
5. On the screen type in: Linreg(ax+b) L
, L
, Y
(To put in Y
press Vars, Y-Vars, Function,
1
2
1
1
Y
)
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6. The following screen will appear FOR AVOCADO DATA:
LinReg
y=ax+b
y = 0.75x + 27.2
a= 02345.75217
b= 27.16042781
r
2
= 0.4314364771
r= 0.6568382427
The a and b values are the slope and y-intercept values for the regression line.
7. Turn on the scatterplot function on Stat Plot. Graph the scatterplot using Zoom 9.
8. You will notice the regression line is already put on the graph (this was done by typing in
Y
when we set it up).
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POSSIBLE SOLUTIONS:
Please note: The interactive will only accept lines based on points with coordinates rounded to the
nearest whole number.
Strategy A:
1. Actual Linear Regression Model (most accurate done by calculator)
m or slope (average rate of change in pricing as a ratio of price/each month in chart or line of
fit) = $ 0.75
y-intercept (starting price or x at 0 months) = 27.2
Selection of two points: (9, 34) and (33, 52)
Equation of the line in slope-intercept form: y = 0.75x + 27.2
Sample equation in point-slope form: (y – 52) = 0.75 (x – 33)
2. Selection of two points: (3, 28) and (33, 52)
m or slope = 0.80 or may be written as 4/5
Sample equation of line in point-slope form: (y – 28) = (x – 3)
3. Selection of two points: (9, 36) and (30, 45)
m or slope = 3/7 or 0.429
Sample equation of the line in point-slope form: (y – 36) =
(x – 9)
Strategy B:
For the box and whisker method, the slope of the line of fit would be set and determined by the “Q-
points” or vertices of the rectangle forming the diagonal.
Five number summary:
x (months): 1, 9, 17.5, 26, 34
y (cost): 25, 32, 38, 45, 68
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