2. Raw data is found in the excel file titled "STA322 Week 3 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. (30 points)

x y

10 4

15 10

16 6

20 15

24 19

24 25

26 25

27 23

29 4

29 42

33 30

35 38

37 40

37 67

45 20

What is the Slope?

What is the y-intercept?

3. Express the likelihood given as a probability between 0 and 1 for the following (20 points):

a.The News stated that we have a 30% chance of being in the path of the hurricane.

b.I have a 40% chance of winning the Sweepstakes.

c.When playing Yahtzee, I can roll 1 die and I need to roll a 2.What are my chances?

d.The gender of the new student.

4. A survey was taken at a K-6^th grade school.Do you have enough time at lunch? Given the table below, answer the following questions (20 points):

Yes

No

Girls

42

110

Boys

95

53

a.If b represents the event of selecting a response from a boy, find the complement of b [P()].

b.Find the probability that the selected answer was no [P(no)].

c.If g represents the event of selecting a response from a girl, find the complement of g [P ()].

d.Find the probability that the selected answer was yes [P(yes)].

5. Find the number of ways that 7 Discussion responses can be ordered by calculating 7! (5 points)

6.Find the number of ways that the 10 children can line up to go to recess by calculating 10! (5points)

Use Permutations or Combinations on the next 3 examples:

7.If you are allowed to use numbers 1-9 and need to choose the passcode of an exact 4 digit code, how many possibilities are there? (10 points)

8.If there are 30 students in the class and we need to select a President and Treasurer for our meetings, how many possibilities are there? (10 points)

9.In playing a card game, I am dealt 5 cards, how many possibilities are there for my hand? (10 points)