A group of research students wants to determine whether there is a correlation between the number of theft cases x and the number of vandalism cases y incurred in their school. Data for one school year show the following: Month Jun Jul Aug Sep Oct Nov Dec Jan Feb Mar
A group of research students wants to determine whether there is a correlation between the number of theft cases x and the number of vandalism cases y incurred in their school. Data for one school year show the following: Month Jun Jul Aug Sep Oct Nov Dec Jan Feb Mar
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
Related questions
Question
Lt8
Answer 3 and 4
![Answer the following:
STATISTICS AND PROBABILITY
Week 5
1. Computer for each of the following:
a. Ex = 225; Σy = 225; Σx2 = 9653; Σy = 143; Σxy = 651 ; n = 6
b. Σx = 32; Σy = 1105; Σx2 = 220; Σy? = 364525; Σxy = 3402; n = 6
c. Ex = 180; Σy = 147; Ex2 = 6914; Ey2 = 5273; Σxy = 4013 ; n = 7
2. Compute and interpret r for the following data given:
a.
age of a person, in years
Weight, in kg
b.
age of a car, in years
Mileage, in km/liter
C.
No. of hours spent in safety training
No. of hours lost due to accidents
11 12 13 14 15
40 42 38 35 45
0.5 1 1.5 2 3
15 10 12
16
10
20 30 40 50
100 90 85 60
16
51
4
Month
Number of theft cases
6 15 30 12 20 9 2
Number of vandalism cases 3 6 15 5 5 7 0
What conclusion can be derived from the study?
12
5. What is the difference Exy and x.y?
6. What is the difference between Σx² and (x)²?
17 18 19 20
48 48 50 47
4.5 5 6 7
11 10 11 8
60
70
80 90 100 110
80 50 30 30 20 10
3. A group of research students wants to determine whether there is a correlation between the number of theft
cases x and the number of vandalism cases y incurred in their school. Data for one school year show the
following:
Jun Jul Aug Sep Oct Nov Dec Jan Feb Mar
10 11 28
21 4
12
4. The following are the heights of a father and his eldest son, in inches:
Height of the father
71 69 67 68 68
66 70 72 65 60
71 69 69 65 66 63 68 70 60 58
Height of the son
Do the data support the hypothesis that height is hereditary? Explain. Accompany your explanation with
statistical computations.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff14b3c88-66d4-4310-9b23-1f44a49865fb%2F4ee4c971-ce43-4416-ae88-d6ce321a69b2%2Fnogqck4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Answer the following:
STATISTICS AND PROBABILITY
Week 5
1. Computer for each of the following:
a. Ex = 225; Σy = 225; Σx2 = 9653; Σy = 143; Σxy = 651 ; n = 6
b. Σx = 32; Σy = 1105; Σx2 = 220; Σy? = 364525; Σxy = 3402; n = 6
c. Ex = 180; Σy = 147; Ex2 = 6914; Ey2 = 5273; Σxy = 4013 ; n = 7
2. Compute and interpret r for the following data given:
a.
age of a person, in years
Weight, in kg
b.
age of a car, in years
Mileage, in km/liter
C.
No. of hours spent in safety training
No. of hours lost due to accidents
11 12 13 14 15
40 42 38 35 45
0.5 1 1.5 2 3
15 10 12
16
10
20 30 40 50
100 90 85 60
16
51
4
Month
Number of theft cases
6 15 30 12 20 9 2
Number of vandalism cases 3 6 15 5 5 7 0
What conclusion can be derived from the study?
12
5. What is the difference Exy and x.y?
6. What is the difference between Σx² and (x)²?
17 18 19 20
48 48 50 47
4.5 5 6 7
11 10 11 8
60
70
80 90 100 110
80 50 30 30 20 10
3. A group of research students wants to determine whether there is a correlation between the number of theft
cases x and the number of vandalism cases y incurred in their school. Data for one school year show the
following:
Jun Jul Aug Sep Oct Nov Dec Jan Feb Mar
10 11 28
21 4
12
4. The following are the heights of a father and his eldest son, in inches:
Height of the father
71 69 67 68 68
66 70 72 65 60
71 69 69 65 66 63 68 70 60 58
Height of the son
Do the data support the hypothesis that height is hereditary? Explain. Accompany your explanation with
statistical computations.
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