The following table was generated from the sample data of 1010 junior high students regarding the average number of hours they are unsupervised per night, the average number of hours they play video games per night, and their final grades in their math class. The dependent variable is the final grade, the first independent variable (x1x1) is the number of hours unsupervised each night, and the second independent variable (x2x2) is the number of hours of video games each night. Coefficients Standard Error t-Stat p-value Intercept 64.49590764.495907 5.9533305.953330 10.83358510.833585 0.0000370.000037 Hours Unsupervised −0.974079−0.974079 1.1097971.109797 −0.877709−0.877709 0.4138620.413862 Hours Playing Video Games 4.9768084.976808 1.0636721.063672 4.6788924.678892 0.0034000.003400 Step 1 of 2: Write the multiple regression equation for the computer output given. Round your answers to three decimal places. Step 2 of 2: Indicate if any of the independent variables could be eliminated at the 0.010.01 level of significance.
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.
The following table was generated from the sample data of 1010 junior high students regarding the average number of hours they are unsupervised per night, the average number of hours they play video games per night, and their final grades in their math class. The dependent variable is the final grade, the first independent variable (x1x1) is the number of hours unsupervised each night, and the second independent variable (x2x2) is the number of hours of video games each night.
| Coefficients | Standard Error | t-Stat | p-value | |
|---|---|---|---|---|
| Intercept | 64.49590764.495907 | 5.9533305.953330 | 10.83358510.833585 | 0.0000370.000037 |
| Hours Unsupervised | −0.974079−0.974079 | 1.1097971.109797 | −0.877709−0.877709 | 0.4138620.413862 |
| Hours Playing Video Games | 4.9768084.976808 | 1.0636721.063672 | 4.6788924.678892 | 0.0034000.003400 |
Write the multiple regression equation for the computer output given. Round your answers to three decimal places.
Indicate if any of the independent variables could be eliminated at the 0.010.01 level of significance.
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