Use this data on the next 10 questions
The number of COVID cases in a county tends to be related to two things: 1) the population of the county, and 2) the number of vaccinated individuals. Use the data below to investigate this connection. The variables are COVID cases, number of fully vaccinated people (1000s), and population (1000s).
Vaccinations (1000s) |
Population (1000s) |
Cases |
6 |
17 |
1257 |
3 |
21 |
1526 |
9 |
9 |
605 |
9 |
13 |
475 |
5 |
6 |
13 |
6 |
19 |
1378 |
8 |
24 |
1794 |
6 |
9 |
787 |
9 |
18 |
491 |
8 |
23 |
1754 |
11 |
21 |
470 |
5.5 |
6 |
968 |
10 |
13 |
650 |
11 |
13 |
781 |
7 |
18 |
1484 |
1) Develop the estimated regression equation relating county COVID cases to vaccinations and populations. Write it in the form CASES = ___ + ___ VAX + ___ POP, where you fill in the blanks. Round to two decimals.
2) Is the county population a significant factor in determining county COVID cases? Why or why not? Use ax 0.05 to test the level of significance.
3) Predict the number of COVID cases for a county with a population of 12,000 and 8,000 vaccinations.
4) Does the estimated regression equation provide a good fit to the data? Explain
5) Now develop the estimated regression equation relating county COVID cases tojustvaccinations. Write it in the form CASES = ____ + ____ VAX, where you fill in the blanks. Round to two decimals.
6) What is the adjusted R2 from question 5?