Question: A student would like to study the relationship between paper consumption (Y) and the number of families in the city (X) during a particular year.
A student would like to study the relationship between paper consumption (Y) and the number of families in the city (X) during a particular year. After performing regression analysis, the partial computer output is given below:
| SUMMARY OUTPUT | |||||
| Regression Statistics | |||||
| Multiple R | 0.659359482 | ||||
| R Square | 0.434754926 | ||||
| Adjusted R Square | 0.407838494 | ||||
| Standard Error | 819.8119624 | ||||
| Observations | 23 | ||||
| ANOVA | |||||
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| df | SS | MS | F | Significance F |
| Regression | 1 | B | C | 16.15203 | 0.000620941 |
| Residual | A | 14113924.73 | 672091.6536 | ||
| Total | 22 | 24969566.96 |
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| Coefficients | Standard Error | t Stat | P-value |
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| Intercept | 811.0053151 | 553.5713447 | 1.465042082 | 0.157722 | |
| X Variable 1 | 0.225958133 | 0.056223059 | 4.018958391 | 0.000621 |
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a) What is the estimated regression line?
b) What is the value of R2? Please explain its meaning.
c) Three values are missing in the ANOVA table which are represented by a, b, and c. Calculate the missing values.
d) Is the model overall significant? State the null and alternative hypothesis and you conclusion of the hypothesis testing results based on the table.
e) If the number of families is 7030, what is the paper consumption?
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