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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
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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.
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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