Question
In: Statistics and Probability
2. A student collected data on the number of large pizzas consumed, y, while x students...
2. A student collected data on the number of large pizzas consumed, y, while x students were watching a professional football game on TV. The data from five games are given in table below. Number of students, x 2 5 6 3 4 Number of large pizzas, y 1 6 10 3 5 Please show work for full credit.
(e) Interpret your interval from part (d). (f) Calculate r2 (follow steps on page 92).
(g) Interpret r2.
(h) Compute linear correlation coecient r (follow steps on page 93).
(i) Interpret r.
Solutions
Expert Solution
using excel>data>data analysis >Regression
we have
| SUMMARY OUTPUT | ||||||
| Regression Statistics | ||||||
| Multiple R | 0.97913 | |||||
| R Square | 0.958696 | |||||
| Adjusted R Square | 0.944928 | |||||
| Standard Error | 0.795822 | |||||
| Observations | 5 | |||||
| ANOVA | ||||||
| df | SS | MS | F | Significance F | ||
| Regression | 1 | 44.1 | 44.1 | 69.63158 | 0.003608 | |
| Residual | 3 | 1.9 | 0.633333 | |||
| Total | 4 | 46 | ||||
| Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | |
| Intercept | -3.4 | 1.067708 | -3.18439 | 0.049925 | -6.79792 | -0.00208 |
| x | 2.1 | 0.251661 | 8.344554 | 0.003608 | 1.299102 | 2.900898 |
(f) R2 =0.9587
(g) About 95.87% variation in number of large pizzas can be explained by the Number of students watching a professional football game on TV.
(h) the linear correlation coefficient r = 0.9791
i) there is a strong positive linear relationship between number of large pizzas and the Number of students watching a professional football game on TV.
orchestra answered 1 year agoRelated Solutions
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