Regression Statistics

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Mathematics

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1. Describe what type of data analysis would use linear correlation coefficients and line of best fits. Describe the benefits of comparing to a line of best fit.

2. Raw data is found in the excel file titled “Regression Data – Tab Line of Best Fit.” Calculate the linear correlation coefficient of that data and describe what that information provides. Find the slope and y intercept and list the line of best fit. Take Microsoft Excel and graph this line of best fit, using the “trend” function. Determine how you will implement the results you received to improve the data, base it on a scenario for your career.

3. Express the likelihood given as a probability between zero and one for the following:

a. The Weather Channel stated that we have a 75% chance of being hit by the hurricane.

b. I have a 22% chance of winning the Sweepstakes.

c. When playing Yahtzee, I can roll one die and I need a four. What are my chances?

d. The gender of the new baby being a girl.

4. A survey was taken at a K-6th grade school. Do you have enough time at lunch? Given the table below, answer the following questions:

GIRLS: Yes - 35, No -124 ; BOYS: Yes - 100, No - 62.

  1. If b represents the event of selecting a response from a boy, find P (Ђ).
  2. Find the probability that the selected answer was made by a girl or was answered no.
  3. If g represents the event of selecting a response from a girl, find P (ḡ).
  4. Find the probability that the selected answer was made by a boy and answered yes.

5. Find the number of ways that six Discussion responses can be ordered by calculating 6!

6. Find the number of ways that the five children can line up to go to recess by calculating 5!

Use Permutations or Combinations on the next three examples:

7. If you are allowed to use numbers 1 – 20 and need to choose the passcode of an exact 4 digit code, how many possibilities are there?

8. If there are 25 students in the class and we need to select a President and Secretary for our meetings, how many possibilities are there?

9. In playing a card game, I am dealt 6 cards, how many possibilities are there for my hand?

Unformatted Attachment Preview

x y 12 14 15 19 22 24 25 27 28 29 32 32 34 37 48 slope Line of Best Fit 2 14 5 16 18 22 25 28 2 55 32 35 38 80 25 y intercept 90 80 70 60 50 40 30 20 10 0 0 10 20 30 40 50 60
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Explanation & Answer

============================================================please find the attchment

x

y
12
14
15
19
22
24
25
27
28
29
32
32
34
37
48

slope

Line of Best Fit
2
14
5
16
18
22
25
28
2
55
32
35
38
80
25

y intercept
-7.0126
Slope
1.2618

90
80
y = 1.2618x
R² = 0.3437

70
60
50
40
30
20
10
0
0

10

20

30

y = 1.2618x - 7.0126
R² = 0.3437

40

50

60


1. Describe what type of data analysis would use linear correlation coefficients and line of
best fits. Describe the benefits of comparing to a line of best fit.

The type is the Linear association between two variables. A line of best fit is a straight line
drawn through the center of a group of data points plotted on a scatter plot. Scatter plots depict
the ...


Anonymous
Excellent resource! Really helped me get the gist of things.

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