Draw a scatter plot.
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.
![8. The following data gives values for the fuel used to heat a house for a month, and the number
of degree-days (which measures the extent to which the temperature was below 20°).
Degree-Days
43 33 26 13| 4|0|0| 1| 6 | 12 | 30 | 32 52 30
6.3 10.9 8.9 | 7.5 5.3 4.0 | 1.7 | 1.2 | 1.2 | 1.2| 2.1 3.1 6.4 7.2 11.0 | 6.9
24
51
Fuel
a) Draw a scatter plot. Does there visually appear to be a significant correlation?
b) Determine the correlation coefficient? Is there a significant correlation?
c) Determine the equation of the regression line.
d) Predict the fuel use when a month has 20 degree-days.
e) Suppose the next month has 20 degree-days, and the fuel use is 5.5. Explain why this
answer is different from d).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9f95c545-23b6-4138-bdd8-7123921a0342%2F2fff0f6e-ec17-4ba5-8247-3c8d1f9cfe9a%2Fd3ufvp_processed.png&w=3840&q=75)
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