(49, 47)
(51, 55)
(19, 25)
(37, 39)
(44, 45)
(47, 49)
(36, 35)
(41, 40)
(46, 50)
(58, 61)
(67, 63)
1. Representation of Data with Plots Using graphing software of your choice, create a scatter plot of your data. Predict the line of best fit, and sketch it on your graph. Copy and paste your scatter plot into a word processing document.
2. The Line of Best Fit Include your scatter plot and the answers to the following questions in your word processing document:
Which variable did you plot on the x-axis, and which variable did you plot on the y-axis? Explain why you assigned the variables in that way.
Write the equation of the line of best fit using the slope-intercept formula y = mx + b. Show all your work, including the points used to determine the slope and how the equation was determined.
What does the slope of the line represent within the context of your graph? What does the y-intercept represent?
Test the residuals of two other points to determine how well the line of best fit models the data. Use the line of best fit to help you to describe the data correlation.
Using the line of best fit that you found in 2, approximate how tall is a person whose arm span is 66 inches?
According to your line of best fit, what is the arm span of a 74-inch-tall person?
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
Answer: 8 hours.
Step-by-step explanation:
If the baby sleeps from 9pm to 5am, you will count. 9pm-12am is 3 hours of sleep. if you add 5 more hours, (12am+5 hours) it equals 5am. 5hours + 3hours is 8 hours.
Answer: 8 hours
Step-by-step explanation:
if you add 9+5 you will get 14 but if you count it like you would for hours it would be 9-10-11-12-1-2-3-4-5
Answer:
466,56 inches
Step-by-step explanation:
1 yard = 36 inches
1 cubic yard = 36*36*36 = 46656 cubic inches
46656 = 20*5*l => l = 46656/100 = 466, 56 inches
Answer:
117 ft
Step-by-step explanation:
1 yd³ = 36³ in³ = 46656 in³
Volume = ⅓ (5 × length) × 20
46656 = ⅓ (5 × length) × 20
length = 1399.68 in
1399.68/12 ft
= 116.64 ft