Question
A study is conducted to find the relationship between city temperature on a single day and the elevation of the city. A random sample of various cities is presented in the following table: (you may solve this using Microsoft Excel)
| Elevation (in feet | 7000 | 4000 | 6000 | 3000 | 7000 | 4500 | 5000 |
| Temperature (0F) | 50 | 60 | 48 | 70 | 55 | 55 | 60 |
(i) Find a regression equation for elevation and city temperature on a given day.
(ii) Find the residuals and create a residual plot.
(iii) Use the regression equation to estimate the city temperature for the city situated at an elevation of 5500ft.
(iv) Find the correlation coefficient and coefficient of determination and interpret both.
Answer :
Word Count : 422
Let's break down the steps for solving this regression problem:
Given data:
| Elevation (feet) | 7000 | 4000 | 6000 | 3000 | 7000 | 4500 | 5000 |
|---|---|---|---|---|---|---|---|
| Temperature (°F) | 50 | 60 | 48 | 70 | 55 | 55 | 60 |