A researcher collects data between the age in years, (x), of a movie theater's popcorn popper and the cost of its monthly maintenance,(y). Find the regression equation. Round b to three decimal places. ˆyy^ = + Correctxx
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.
A researcher collects data between the age in years, (x), of a movie theater's popcorn popper and the cost of its monthly maintenance,(y).
Find the regression equation. Round b to three decimal places.
ˆyy^ = + Correctxx
Fill in the table to find the residuals. Round table entries to three decimal places.
| xx | yy | ˆyy^ | y−ˆyy-y^ |
|---|---|---|---|
| 8 | 58 | ||
| 9 | 98 | ||
| 15 | 102 | ||
| 4 | 32 | ||
| 7 | 60 | ||
| 3 | 31 | ||
| 2 | 25 |
What is the
Graph the data and find the outlier. Give the ordered pair here:
(, )
If your ordered pair is actually the outlier, then the correlation coefficient would increase. Delete the ordered pair you chose and find the correlation coefficient again. Type the new correlation coefficient rounded to three decimal places here:
Put the outlier back into your data and then find the test statistic, p-value, df, and critical value(s) for a test to find if there is a
tt =
p-value =
df =
tctc =
Your final conclusion is that...
- There is enough evidence to show that there is a positive correlation between the age of a popcorn popper and its monthly maintenance costs.
- There is not enough evidence to show that there is a positive correlation between the age of a popcorn popper and its monthly maintenance costs.
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