Consider the following data for a dependent variable y and two independent variables, x1 and x2; for these data SST = 15,387.6, and SSR 14,228.4. X1 X2 30 13 94 46 11 108 25 18 113 50 17 179 41 5 95 51 20 176 75 7 171 36 13 117 60 13 143 77 17 212 Round your answers to three decimal places. a. Compute R2. b. Compute Ra2. c. Does the estimated regression equation explain a large amount of the variability in the data?
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.
Consider the following data for a dependent variable y and two independent variables, x1 and x2; for these data SST = 15,387.6, and SSR = 14,228.4.
| x1 | x2 | y |
| 30 | 13 | 94 |
| 46 | 11 | 108 |
| 25 | 18 | 113 |
| 50 | 17 | 179 |
| 41 | 5 | 95 |
| 51 | 20 | 176 |
| 75 | 7 | 171 |
| 36 | 13 | 117 |
| 60 | 13 | 143 |
| 77 | 17 | 212 |
Round your answers to three decimal places.
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