An engineer wanted to determine how the weight of a car affects gas mileage. The following data represent the weight of various cars and their gas mileage. Car Weight (pounds) Miles per Gallon A 2690 26 B 3100 21 C 3985 18 D 3590 18 E 3475 20 (a) Compute the linear correlation coefficient between the weight of a car and its miles per gallon. R~ Comment on the type of relation that appears to exist between the weight of a car and its miles per gallon based on the scatter diagram and the linear correlation coefficient. (b) Because the correlation coefficient is ___ and the absolute value of the correlation coefficient ___ is ____ than the critical value for this data set, ___ linear relation exists between the weight of a car and its miles per gallon.
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.
An engineer wanted to determine how the weight of a car affects gas mileage. The following data represent the weight of various cars and their gas mileage.
|
Car
|
Weight (pounds)
|
Miles per Gallon
|
|
|---|---|---|---|
|
A
|
2690
|
26
|
|
|
B
|
3100
|
21
|
|
|
C
|
3985
|
18
|
|
|
D
|
3590
|
18
|
|
|
E
|
3475
|
20
|
(a) Compute the linear
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