It has been determined that there is a significant relationship between the temperature (x) and the number of times that a cricket chirps in a minute (y). Below is a table of values: Temperature Number of chirps 69.7 882 93.3 1188 84.3 1104 76.3 864 88.6 1200 82.6 1032 71.6 960 79.6 900 G. Determine the value of ∑ (x-mean)2, reporting the exact answer which should have 1 decimal place. H. Determine the lower bound of a 95% confidence interval for the slope. Use the T score to 3 decimal places, and the rounded value for answer F. Report answer to 3 decimal places. I. Determine the upper bound of a 95% confidence interval for the slope. Use the T score to 3 decimal places, and the rounded value for answer F. Report answer to 3 decimal places. J. If the level was increased to 99%, what would happen to the margin of error and the size of the interval? increase answer can not be determined decrease remains the same
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.
It has been determined that there is a significant relationship between the temperature (x) and the number of times that a cricket chirps in a minute (y). Below is a table of values:
| Temperature | Number of chirps |
| 69.7 | 882 |
| 93.3 | 1188 |
| 84.3 | 1104 |
| 76.3 | 864 |
| 88.6 | 1200 |
| 82.6 | 1032 |
| 71.6 | 960 |
| 79.6 | 900 |
G. Determine the value of ∑ (x-
H. Determine the lower bound of a 95% confidence interval for the slope. Use the T score to 3 decimal places, and the rounded value for answer F. Report answer to 3 decimal places.
I. Determine the upper bound of a 95% confidence interval for the slope. Use the T score to 3 decimal places, and the rounded value for answer F. Report answer to 3 decimal places.
J. If the level was increased to 99%, what would happen to the margin of error and the size of the interval?
- increase
- answer can not be determined
- decrease
- remains the same
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