Part 1 question: A researcher collected some information from a group of 100 students in a Statistics class last semester. Two variables were collected, a student’s GPA and the student’s annual income after graduation. (a) What can we expect the LCC to be? Positive or negative? (b) Can we assume based on the LLC value that one variable depends on the value of the other? If so, which variable is the dependent? Explain. part 2 question: Let’s assume hypothetically the LCC from the problem above is 0.93. (a) What would be the coefficient of determination for this sample? (b) What does that value represent? Write a sentence to explain it. (c) Find one particular example, find the two variables, where the coefficient of determination is very low, or close to zero, what would that mean with respect to the two variables? Only the part 2 question. It's based on the first question but I already have the answer for that one.
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.
Part 1 question: A researcher collected some information from a group of 100 students in a Statistics class last semester. Two variables were collected, a student’s GPA and the student’s annual income after graduation. (a) What can we expect the LCC to be? Positive or negative? (b) Can we assume based on the LLC value that one variable depends on the value of the other? If so, which variable is the dependent? Explain.
part 2 question: Let’s assume hypothetically the LCC from the problem above is 0.93. (a) What would be the coefficient of determination for this sample? (b) What does that value represent? Write a sentence to explain it. (c) Find one particular example, find the two variables, where the coefficient of determination is very low, or close to zero, what would that mean with respect to the two variables?
Only the part 2 question. It's based on the first question but I already have the answer for that one.
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