Provided here is a dataset from a class. This data was collected from an 8-10am course that met every Tuesday and Thursday. Answer all of the following questions. Give your answers in sentences and/or copy/paste your Excel graphs/commands when used. 2019 Data Gender Age Height (in) Shoe Size Miles Home to school Classes this Semester M 20 77 15 3 4 F 45 63 11 8 3 F 20 62 8.5 22 4 F 19 68 9 7.5 4 M 19 70 9.5 6.5 4 F 18 63 6.5 6.5 5 F 21 62 5.5 2 4 F 19 65 7 7 4 F 18 64 8.5 5.5 5 F 19 60 7 15 3 F 21 60 6.5 5 1 M 19 72 11 15 5 M 42 68.75 11 5 1 M 18 74 11.5 2.5 4 F 18 62 6.5 7.5 4 F 19 60 7.5 3 5 F 20 59 4.5 3.5 5 M 20 78 14 87 5 M 19 72.5 12 0.5 4 M 21 66 8.5 5 4 M 19 76 12 45 5 M 19 71 12 22 5 M 19 69 11 4.5 4 F 19 65 7 2 4 F 25 66 8 1 2 M 19 68 10 5 4 M 19 72 11.5 82 4 F 18 64 8.5 21 4 F 23 70 9.5 4 3 A) Create a scatter plot using Height as the explanatory variable and Shoe Size as the response variable. Add the regression equation to the graph as well as the r2 value. Upload here. Remember that you need to actually save a screenshot or image to your device and then use this icon to "upload media". B) Interpret both the slope and the y-intercept in this situation. If either of these pieces of information have no contextual meaning here, explain why. C) Use simple probability (no technology needed) to find the probability that, if I chose a random student from this list, that student would be YOUNGER THAN 25 OR have a shoe size GREATER THAN 10. Show your formula/calculation and final answer.
Provided here is a dataset from a class.
This data was collected from an 8-10am course that met every Tuesday and Thursday. Answer all of the following questions. Give your answers in sentences and/or copy/paste your Excel graphs/commands when used.
| 2019 Data | |||||
| Gender | Age | Height (in) | Shoe Size | Miles Home to school | Classes this Semester |
| M | 20 | 77 | 15 | 3 | 4 |
| F | 45 | 63 | 11 | 8 | 3 |
| F | 20 | 62 | 8.5 | 22 | 4 |
| F | 19 | 68 | 9 | 7.5 | 4 |
| M | 19 | 70 | 9.5 | 6.5 | 4 |
| F | 18 | 63 | 6.5 | 6.5 | 5 |
| F | 21 | 62 | 5.5 | 2 | 4 |
| F | 19 | 65 | 7 | 7 | 4 |
| F | 18 | 64 | 8.5 | 5.5 | 5 |
| F | 19 | 60 | 7 | 15 | 3 |
| F | 21 | 60 | 6.5 | 5 | 1 |
| M | 19 | 72 | 11 | 15 | 5 |
| M | 42 | 68.75 | 11 | 5 | 1 |
| M | 18 | 74 | 11.5 | 2.5 | 4 |
| F | 18 | 62 | 6.5 | 7.5 | 4 |
| F | 19 | 60 | 7.5 | 3 | 5 |
| F | 20 | 59 | 4.5 | 3.5 | 5 |
| M | 20 | 78 | 14 | 87 | 5 |
| M | 19 | 72.5 | 12 | 0.5 | 4 |
| M | 21 | 66 | 8.5 | 5 | 4 |
| M | 19 | 76 | 12 | 45 | 5 |
| M | 19 | 71 | 12 | 22 | 5 |
| M | 19 | 69 | 11 | 4.5 | 4 |
| F | 19 | 65 | 7 | 2 | 4 |
| F | 25 | 66 | 8 | 1 | 2 |
| M | 19 | 68 | 10 | 5 | 4 |
| M | 19 | 72 | 11.5 | 82 | 4 |
| F | 18 | 64 | 8.5 | 21 | 4 |
| F | 23 | 70 | 9.5 | 4 | 3 |
A) Create a
B) Interpret both the slope and the y-intercept in this situation. If either of these pieces of information have no contextual meaning here, explain why.
C) Use simple probability (no technology needed) to find the probability that, if I chose a random student from this list, that student would be YOUNGER THAN 25 OR have a shoe size GREATER THAN 10. Show your formula/calculation and final answer.
D) Find the mean and standard deviation of the heights of this sample of students.
E) The Empirical Rule states that IF a data set is
F) Use simple probability (no technology needed) to find the probability that, if I chose a random student from this list, that student would be between these two boundary heights found in part E.
G) What can you conclude about this specific sample of students' heights? Do you believe that they are "normally distributed"? Why/why not?
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