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 equals 5 x plus 11

y=x+5
y equals x plus 5

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

y=1.35x+5.05

Answer 1

To determine the equation of the line of best fit using the data provided, you would typically use methods like linear regression, often available in spreadsheet software like Excel or Google Sheets.

Using the given data points:

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

After performing a linear regression analysis, you would establish the equation in the form \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.

When calculated, the line of best fit for these data points turns out to be approximately: \[ y = 1.35x + 5.05 \]

Thus, the correct answer is: y = 1.35x + 5.05.