Answer:
To determine if the relationship is linear, we can plot the data to see if it forms a straight line. Then, we can use the line of best fit to see if it adequately describes the relationship between the variables.
Let's consider the following data:
| Month | Amount of Rain (inches) |
|-------|---------------------------|
| January | 4 |
| February | 5 |
| March | 6 |
| April | 7 |
| May | 8 |
| June | 9 |
| July | 10 |
| August | 11 |
| September | 12 |
| October | 13 |
| November | 14 |
| December | 15 |
Now, let's plot this data and see if it forms a linear relationship.
By plotting the data and drawing a line of best fit, we can see if the relationship is linear. If the points form a relatively straight line, then the relationship is likely linear. If the relationship is not linear, it may be a quadratic, exponential, or some other non-linear relationship.
If the relationship is linear, an equation can be written to describe the amount of rain using the slope-intercept form: y = mx + b, where y is the amount of rain, x is the month (1 for January, 2 for February, and so on), m is the slope, and b is the y-intercept.
If the relationship is not linear, then a different type of equation (such as a quadratic or exponential equation) would be needed to describe the amount of rain.
If you provide the data, I can help you with the analysis.