Use the table to answer the question.

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
=
5
𝑥
+
11
y equals 5 x plus 11

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=1.35x+5.05

Answer 1

To find the equation of the line of best fit using the given data, we'll typically use linear regression, which can be done using a spreadsheet calculator. However, based on the data provided:

• Points: (1, 5), (2, 9), (3, 10), (4, 10.5), (5, 11)

Using the linear regression formula, you can calculate the slope (m) and y-intercept (b) to form the equation of the line in the form \( y = mx + b \).

After performing linear regression on this data set, the best-fit line is calculated as:

\[ y \approx 1.35x + 5.05 \]

Thus, rounding to the nearest hundredth, the correct response is:

y = 1.35x + 5.05