Using regression analysis to solve a real time problem

QUESTION

Describe a practical problem in any field of interest for which a regression model will be appropriate.Do a research to obtain real data relating to the problem described.

PROBLEM STATEMENT

There has been an upsurge of accidents on the Accra Kumasi Highway in recent times.In spite of this increased occurrence of accidents on the roads little have been done to find out the main causes of the life threatening situation.Although there have been massive reconstruction of the roads at several parts of the highway and in spite of the numerous road safety campaigns that have been undertaken,very little changes have occurred.In order to curb the occurrence of accidents on our roads,there is therefore the need to conduct research to find out the causes of the accidents and to find out the extent to which they do so.

METHODOLOGY

A survey was conducted at the Asafo Accra-Kumasi Lorry Park.In the survey, fifty commercial drivers were selected at random and they were asked questions on their past experiences in the last twelve months.The drivers answered questions on the number of accidents they had encountered, the number of times they maintained their vehicles ,the average speed at which they drove their vehicles and their ages. The number of accidents the drivers encountered was regressed on the number of times they maintained their vehicles,the average speed at which they drove their vehicles and their ages using the statistical package,SPSS.

AIMS

• To know if the number of accidents encountered by vehicles on the Accra Kumasi highway are related to number of times the drivers maintained their vehicles, the average speed at which they drove their vehicles and their ages.
• To find out the strength of the relationship that exist between the number of accidents encountered by the commercial vehicles, and the number of times they maintained their vehicles, the average speed at which they drove their vehicles and their ages if there exists any at all.
• To make predictions on the number of accidents the drivers could encounter given the number of times they maintained their vehicles, the average speed at which they drove their vehicles and their ages.
• To advice drivers and the highway authorities on ways to which they can help minimize accidents on the Accra Kumasi Highway.

Data Values

Let Y: Number of accidents

X1: Vehicle Maintenance

X2: Average speed of driver

X3: Age of driver

Y       X1      X2    X3

2        14        85        35

1        13        75        56

2        7        95        48

4        5        100        29

2        7        70        43

0        18        75        57

3        6        110        37

2        14        100        40

4        4        100        25

1        14        80        30

1        19        70        34

3        10        95        32

2        10        85        36

4        3        70        27

1        15        90        45

2        14        75        60

3        5        100        29

4        9        85        41

1        3        75        26

0        16        70        58

2        9        75        46

1        5        70        53

0        14        70        48

0        8        60        52

2        4        75        36

0        7        65        50

3        6        90        34

5        3        120        35

2        1        85        41

3        6        70        29

3        6        85        34

0        13        70        53

2        5        75        34

4        2        95        35

4        1        100        53

2        2        85        36

1        5        70        34

1        5        75        27

0        6        70        56

1        3        80        44

0        8        70        53

0        11        75        37

3        1        95        38

2        3        90        43

2        3        85        25

1        6        80        36

0        5        75        54

0        14        70        45

0        10        70        38

1        9        75        57

Number of Accidents vrs Vehicle Maintenance

It is observed that there is a negative linear relationship between the number of accidents and the age of driver.

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