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

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

y=x+5
𝑦
=
𝑥
+
5
y equals x plus 5

y=5x+11

Answer 1

To find the equation of the line of best fit for the data given in the table, you can use a spreadsheet to perform a linear regression. After performing this regression, you should obtain an equation of the form \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.

Let's summarize the data points:

- (1, 5)
- (2, 9)
- (3, 10)
- (4, 10.5)
- (5, 11)

Using a linear regression calculation, you could find that the line of best fit is approximately:

\[ y = 1.35x + 5.05 \]

Therefore, the correct answer is:

**y = 1.35x + 5.05**.