Day I 2 3 4 5 6 7 Ice cream Temp oC 14.2 16.4 l l.9 15.2 18.5 22.1 19.4 Sales (N$) 215 325 185 332 406 s22 412 Required: i. Compute and interpret the sample covariance ii. Compute and interpret the sample correlation coefficient
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
The data below is provided by the local ice-cream shop that keeps track of how many ice-creams are
sold versus the temperature on that day. Here are the figures for the last 7 days. Let x; represent the
temperature ofthe respective days and let /; represent the ice cream sales on the respective days'
Day I 2 3 4 5 6 7
Ice cream Temp oC 14.2 16.4 l l.9 15.2 18.5 22.1 19.4
Sales (N$) 215 325 185 332 406 s22 412
Required:
i. Compute and interpret the sample
ii. Compute and interpret the sample
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