Ricardo has just taken over his parents' restaurant. He knows after working there for many years that one of the major concerns
among employees is competitive pay. Specifically, Ricardo's servers think that they are paid less than servers in similar restaurants.
To help investigate this issue, Ricardo employs a company that specializes in gathering data about pay rates for similar positions across the state. The company provides Ricardo with the following box-and-whisker plot.
Ricardo's goal is to provide his servers with competitive pay compared to other restaurants in the state. He currently pays his servers hourly rates ranging from $8.50 to $11.50, depending on experience and seniority. His median server pay is $8.83. Based on what he sees in the plot above, which of the following is an appropriate conclusion for Ricardo?
A.
Ricardo's median is consistent with the state median. Ricardo should leave his servers' pay as it is.
B.
Most of Ricardo's servers are paid more than the state median. Ricardo should leave his servers' pay as it is.
C.
Ricardo's minimum, maximum, and median are all significantly less that those of the state. Ricardo should increase his servers' pay.
D.
Almost half of other servers across the state make more than the highest paid of Ricardo's servers. Ricardo should increase his servers' pay.
To help investigate this issue, Ricardo employs a company that specializes in gathering data about pay rates for similar positions across the state. The company provides Ricardo with the following box-and-whisker plot.
Ricardo's goal is to provide his servers with competitive pay compared to other restaurants in the state. He currently pays his servers hourly rates ranging from $8.50 to $11.50, depending on experience and seniority. His median server pay is $8.83. Based on what he sees in the plot above, which of the following is an appropriate conclusion for Ricardo?
A.
Ricardo's median is consistent with the state median. Ricardo should leave his servers' pay as it is.
B.
Most of Ricardo's servers are paid more than the state median. Ricardo should leave his servers' pay as it is.
C.
Ricardo's minimum, maximum, and median are all significantly less that those of the state. Ricardo should increase his servers' pay.
D.
Almost half of other servers across the state make more than the highest paid of Ricardo's servers. Ricardo should increase his servers' pay.
1 answer:
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The value of is 31
Explanation:
The given expression is
We need to determine the value of
The value of can be determined by substituting
in the expression
Thus, we have,
Adding the terms, we have,
Thus, the value is 31.
Therefore, the simplified value of the expression by substituting in the expression
is 31.
Answer:
Here's what I get.
Step-by-step explanation:
1. Representation of data
I used Excel to create a scatterplot of the data, draw the line of best fit, and print the regression equation.
2. Line of best fit
(a) Variables
I chose arm span as the dependent variable (y-axis) and height as the independent variable (x-axis).
It seems to me that arm span depends on your height rather than the other way around.
(b) Regression equation
The calculation is easy but tedious, so I asked Excel to do it.
For the equation y = ax + b, the formulas are
This gave the regression equation:
y = 1.0595x - 4.1524
(c) Interpretation
The line shows how arm span depends on height.
The slope of the line says that arm span increases about 6 % faster than height.
The y-intercept is -4. If your height is zero, your arm length is -4 in (both are impossible).
(d) Residuals
The residuals appear to be evenly distributed above and below the predicted values.
A graph of all the residuals confirms this observation.
The equation usually predicts arm span to within 4 in.
(e) Predictions
(i) Height of person with 66 in arm span
(ii) Arm span of 74 in tall person
