The graphs below have the same shape. Complete the equation of the red graph. Enter exponents using the caret (^); for example,
enter x2 as x^2. Do not include "F(x) =" in your answer.
2 answers:
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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
X=9.51 or x=-1.01 (to 3 sf)
if you want exact value just continue from where i left off from the pic :)
its the quadratic formula i think thats the name of it
if you want exact value just continue from where i left off from the pic :)
its the quadratic formula i think thats the name of it
Let's first get the representation of tan
We also need to understand how to convert radians to degrees
For question 1
since tan > 1
It must be in either first quadrant or third quadrant as shown in the diagram above
