Chipotle would like to know the degree to which punctuality at work is predictive of an employee’s monthly performance review. Chipotle randomly samples 6 employees, pulling the employment records for how often each employee has been late to work over the past month. Then, each employee’s boss provides an overall monthly review of that employee’s work, with the final review rating ranging from 1 (extremely poor performance at work) to 10 (exceptional performance at work). The data is as follows: Participant Number of Days Late Monthly Performance Review 1 2 8 2 7 7 3 0 9 4 1 5 5 6 3 6 9 5 For this problem, complete the following steps using simple linear regression by hand: Identify the two hypotheses. Determine the critical region for your decision (use α = 0.05). Compute the test statistic. Use the test statistic to make a decision and interpret that decision.
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.
Chipotle would like to know the degree to which punctuality at work is predictive of an employee’s monthly performance review. Chipotle randomly samples 6 employees, pulling the employment records for how often each employee has been late to work over the past month. Then, each employee’s boss provides an overall monthly review of that employee’s work, with the final review rating
|
Participant |
Number of Days Late |
Monthly Performance Review |
|
1 |
2 |
8 |
|
2 |
7 |
7 |
|
3 |
0 |
9 |
|
4 |
1 |
5 |
|
5 |
6 |
3 |
|
6 |
9 |
5 |
For this problem, complete the following steps using simple linear regression by hand:
- Identify the two hypotheses.
- Determine the critical region for your decision (use α = 0.05).
- Compute the test statistic.
- Use the test statistic to make a decision and interpret that decision.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 5 images
