Question

Use the table to answer the question.

x y
1 5
2 9
3 10
4 10.5
5 11
Use a spreadsheet calculator to determine the equation of the line of best fit for the data in this table. Round to the nearest hundredth, if needed.

(1 point)
Responses

y=5x+11
y equals 5 x plus 11

y=5.05x+1.35
y equals 5.05 x plus 1.35

y=x+5
y equals x plus 5

y=1.35x+5.05

Answer 1

To determine the equation of the line of best fit for the given data, we can perform a linear regression analysis.

Let's review the data points:

| x | y |
|-----|-----|
| 1 | 5 |
| 2 | 9 |
| 3 | 10 |
| 4 | 10.5|
| 5 | 11 |

After performing a linear regression analysis (which you can do using a spreadsheet like Excel or Google Sheets), we find:

1. The slope (m) of the line
2. The y-intercept (b) of the line

Let's denote the line of best fit as:

\[ y = mx + b \]

Using a linear regression calculator or tool, the result typically yields a specific line of best fit. For the given data, let's assume the calculations have been conducted, and the resulting equation of the line of best fit is:

\[ y = 1.35x + 5.05 \]

Therefore, among the choices given, the correct equation of the line of best fit rounded to the nearest hundredth is:

**y = 1.35x + 5.05**