brooklynunderwood46
06.01.2021 •
Mathematics
PLEASE HELP IVE BEEN WORKING ON THIS ALL DAY
The table below shows the surface area y, in square inches, of a shrinking puddle in x hours:
Time (x)
(hours)
1
4
7
10
Surface area (y)
(square inches)
100
85
70
55
Part A: What is the most likely value of the correlation coefficient of the data in the table? Based on the correlation coefficient, describe the relationship between time and surface area of the puddle. [Choose the value of the correlation coefficient from −1, −0.99, −0.5, −0.02.] (4 points)
Part B: What is the value of the slope of the graph of surface area versus time between 1 and 4 hours, and what does the slope represent? (3 points)
Part C: Does the data in the table represent correlation or causation? Explain your answer. (3 points)
(10 points)
Solved
Show answers
More tips
- P Philosophy Agnosticism: Opinion or Belief?...
- C Computers and Internet How to Calibrate Your Monitor: Useful Tips and Recommendations...
- H Health and Medicine Hangover: How to Get Rid of It Quickly?...
- A Auto and Moto How to Start a Diesel Engine in Cold Weather?...
- A Auto and Moto Which alarm system to choose?...
- P Photography and Videography What is lens calibration and why is it needed?...
- S Science and Technology How to Choose a Picture Frame: Tips and Recommendations...
- P Photography and Videography Understanding HDR: How It Works and Why You Need It...
- P Photography and Videography How to Choose the Perfect Photo Paper for Your Images?...
- C Computers and Internet How to Choose an Uninterruptible Power Supply (UPS) for Your Computer: Expert Tips...
Answers on questions: Mathematics
- M Mathematics In JKL, measure of angle J =(8x+6)degrees, measure of angle K = (2x+2)degrees, and measure of angle L =(4x+4) Can anyone help me find the measurement of angle L ?...
- M Mathematics A line goes through the points (1, 6) and (–2, 8). Write the equation of the line in Slope-intercept form. Show your work algebraically for full credit. Circle your...
- M Mathematics CAN SOMEONE PLEASE HELP ME WITH THIS ASAP...
- H Health Explain zonal level health service...
- M Mathematics Jamie made the tree diagram below to show the different choices he has for ordering a pizza for lunch. A tree diagram. The sizes are large, medium, and small. The...
- S Social Studies Seleccione los enunciados verdaderos respecto a las aportaciones de Augusto Comte y Carlos Marx: 1. Augusto Comte delimita el objeto de estudio de la sociología y...
- E English What does the phrase with a grain of salt mean in Goldilocks and life on other planet...
Ответ:
Given the table below showing the surface area y, in square inches, of a shrinking puddle in x hours.
Time (x) (hours): 1 4 7 10
Surface area (y) (square inches): 100 85 70 55
We can find the find the correlation coeficient of the data using the table below:
Recall that the correlation coefitient is given by the equation:
From the value of the correlation coeffeicient, it can be deduced that the radius of the algae has a strong negative relationship with the time.
Recall the for the value of the correlation coeficient closer to +1, the relationship is strong positive, for the value closer to -1, the value is strong negative and for the values closer to zero, either way of zero is a weak positive if it is positive and weak negative if it is negative.
PART B:
Recall that the slope of a straight line passing through two points
and
is given by
Thus, the slope of the graph of surface area versus time between 1 and 4 hours, [i.e. the line passes through points (1, 100) and (4, 85)] is given by
The value of the slope means that the surface area y, in square inches, of a shrinking puddle, shrinks by 5 square inches every hour between the first hour and the fourth hour.
PART C:
We can say that the data above represent both correlation and causation.
Recall that correlation expresses the relationship between two variables while causation expresses that an event is as a result of another event.
From the information above, we have seen that there is a relationship (correlation) between the passing of hours and the shrink in the surface area of the puddle.
Also we can conclude that the shrink in the surface area of the puddle is a function of the passing of hours, i.e. the shrink in the surface area of the puddle is as a result of the passing of hours.
Therefore, the data in the table represent both correlation and causation.
Step-by-step explanation:
Please give me brainliest. I worked hard on this.
Ответ:
1/32 pounds
Step-by-step explanation:
1/4 divided by 8 = 1/32