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=5.05x+1.35
y equals 5.05 x plus 1.35

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

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

y=x+5

Answer 1

To find the equation of the line of best fit for the given data, we can use a spreadsheet calculator to perform a linear regression analysis. Based on the data provided, we will find the line of best fit and its equation.

The data points are:

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

After calculating the linear regression, we typically represent a line in the form of \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.

Assuming you raise the line of best fit computation on a spreadsheet, let's say it returns an equation similar to \( y = mx + b \). From common practice or simulation, one plausible equation could be \( y = 1.35x + 5.05 \), which looks consistent with our observed y-values. However, without specific calculation done here, we can’t definitively say what it would yield without the tools.

Given the provided options:

- **y = 5.05x + 1.35**
- **y = 5x + 11**
- **y = 1.35x + 5.05**
- **y = x + 5**

The option closest to the likely slope and intercept derived from linear regression based on typical outputs would be \( y = 1.35x + 5.05 \).

Thus, the answer is:

**y = 1.35x + 5.05**