The management of a supermarket wants to find if there is a relationship between the number of times a specific product is promoted on the intercom system in the store(x) and the number of units of that product sold (y). To experiment, the management selected a product and promoted it on the intercom system for 7 days, recording the number of times this product was promoted each day and the number of units sold. Summaries of a study conducted gave the following results: ∑x=177, ∑y= 144, SSxx=809.4286, SSyy=261.7143, SSxy= 407.8571 a) Calculate the correlation coefficient (r) relating number of times this product was promoted each day and the number of units sold. b) Find the regression line.
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 management of a supermarket wants to find if there is a relationship between the number of times a specific product is promoted on the intercom system in the store(x) and the number of units of that product sold (y). To experiment, the management selected a product and promoted it on the intercom system for 7 days, recording the number of times this product was promoted each day and the number of units sold. Summaries of a study conducted gave the following results:
∑x=177, ∑y= 144, SSxx=809.4286, SSyy=261.7143, SSxy= 407.8571
- a) Calculate the
correlation coefficient (r) relating number of times this product was promoted each day and the number of units sold. - b) Find the regression line.
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