The manager of an auto dealership would like to develop a model the fuel consumption of various car models based on engine size. The data is presented below. Manufacturer Engine Size (litre) Fuel Consumption (litres/100km,city driving) Hyundai Accent 1.5 8.9 Toyota Echo 1.5 7.1 Hyundai Accent 1.6 8.9 Kia rio 1.6 9.3 Mazda Protege 1.6 9.3 Honda Civic 1.7 8.1 Kia Spectra 1.8 10.9 Nissan Sentra 1.8 8.3 Pontiac Vibe 1.8 8.3 Toyota Corolla 1.8 8.1 Dodge SX 2.0 2 9.3 Ford Focus 2 8.9 Hyundai Elantra 2 9.6 Mazda Protege/proteges 2 9.9 Mitsubishi Lancer 2 9.7 Suzuki Aerio 2 9.1 Volkswagen Golf 2 10.1 Volkswagen Jetta 2 10.1 Chevrolet Cavalier 2.2 10 Oldsmobile Alero 2.2 10.1 Pontiac Grand AM 2.2 10 Saturn Ion 2.2 9.9 Saturn L200 2.2 10.1 Chrysler Sebring 2.4 10.6 Honda Accord 2.4 9.6 Hyundai Sonata 2.4 10.9 Kia Magentis 2.4 10.9 Mitsubishi Galant 2.4 11.3 Toyota Camry 2.4 10.2 Nissan Altima 2.5 10.4 Nissan Sentra 2.5 10.4 Chrysler Sebring 2.7 11.2 Hyundai Sonata 2.7 12.3 Kia Magentis 2.7 11.7 Ford Taurus 3 11.8 Honda Accord 3 11.2 Confirm the intercept, slope and correlation coefficient by computing them manually.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
The manager of an auto dealership would like to develop a model the fuel consumption of various car models based on engine size. The data is presented below.
| Manufacturer | Engine Size (litre) | Fuel Consumption (litres/100km,city driving) |
| Hyundai Accent | 1.5 | 8.9 |
| Toyota Echo | 1.5 | 7.1 |
| Hyundai Accent | 1.6 | 8.9 |
| Kia rio | 1.6 | 9.3 |
| Mazda Protege | 1.6 | 9.3 |
| Honda Civic | 1.7 | 8.1 |
| Kia Spectra | 1.8 | 10.9 |
| Nissan Sentra | 1.8 | 8.3 |
| Pontiac Vibe | 1.8 | 8.3 |
| Toyota Corolla | 1.8 | 8.1 |
| Dodge SX 2.0 | 2 | 9.3 |
| Ford Focus | 2 | 8.9 |
| Hyundai Elantra | 2 | 9.6 |
| Mazda Protege/proteges | 2 | 9.9 |
| Mitsubishi Lancer | 2 | 9.7 |
| Suzuki Aerio | 2 | 9.1 |
| Volkswagen Golf | 2 | 10.1 |
| Volkswagen Jetta | 2 | 10.1 |
| Chevrolet Cavalier | 2.2 | 10 |
| Oldsmobile Alero | 2.2 | 10.1 |
| Pontiac Grand AM | 2.2 | 10 |
| Saturn Ion | 2.2 | 9.9 |
| Saturn L200 | 2.2 | 10.1 |
| Chrysler Sebring | 2.4 | 10.6 |
| Honda Accord | 2.4 | 9.6 |
| Hyundai Sonata | 2.4 | 10.9 |
| Kia Magentis | 2.4 | 10.9 |
| Mitsubishi Galant | 2.4 | 11.3 |
| Toyota Camry | 2.4 | 10.2 |
| Nissan Altima | 2.5 | 10.4 |
| Nissan Sentra | 2.5 | 10.4 |
| Chrysler Sebring | 2.7 | 11.2 |
| Hyundai Sonata | 2.7 | 12.3 |
| Kia Magentis | 2.7 | 11.7 |
| Ford Taurus | 3 | 11.8 |
| Honda Accord | 3 | 11.2 |
Confirm the intercept, slope and
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