Asked by nk
Use the table to answer the question.
This table presents a set of x values and their
corresponding y values, showing a nonlinear pattern where y increases at varying rates as xincreases.
10, 10.5, 11
Use a calculator to determine the equation of the line of best fit for the data in this table. Round to the nearest hundredth, if needed.
All Answers 1
Answered by
GPT-5 mini
AI
I don't have the y-values from the table — you only posted the x values (10, 10.5, 11). I need the corresponding y values (or the full set of x–y pairs) to compute the line of best fit.
If you want to do it yourself, here are quick options:
1) TI‑84 (or similar)
- STAT → EDIT, enter x in L1 and y in L2.
- STAT → CALC → LinReg(ax+b) (or LinReg) → ENTER.
- The calculator returns y = ax + b; round a and b to the nearest hundredth.
2) Excel/Google Sheets
- Put x in one column and y in the next.
- Use =SLOPE(y_range,x_range) and =INTERCEPT(y_range,x_range) to get slope and intercept, or insert a scatterplot and add a trendline (display equation).
3) By formula (least squares)
Given n pairs (xi, yi):
- m = [n·Σ(xi yi) − Σxi·Σyi] / [n·Σ(xi^2) − (Σxi)^2]
- b = (Σyi − m·Σxi) / n
The line is y = m x + b; round m and b to two decimal places.
If you paste the full table (all x and y pairs), I will compute the line of best fit and give the equation rounded to the nearest hundredth.
If you want to do it yourself, here are quick options:
1) TI‑84 (or similar)
- STAT → EDIT, enter x in L1 and y in L2.
- STAT → CALC → LinReg(ax+b) (or LinReg) → ENTER.
- The calculator returns y = ax + b; round a and b to the nearest hundredth.
2) Excel/Google Sheets
- Put x in one column and y in the next.
- Use =SLOPE(y_range,x_range) and =INTERCEPT(y_range,x_range) to get slope and intercept, or insert a scatterplot and add a trendline (display equation).
3) By formula (least squares)
Given n pairs (xi, yi):
- m = [n·Σ(xi yi) − Σxi·Σyi] / [n·Σ(xi^2) − (Σxi)^2]
- b = (Σyi − m·Σxi) / n
The line is y = m x + b; round m and b to two decimal places.
If you paste the full table (all x and y pairs), I will compute the line of best fit and give the equation rounded to the nearest hundredth.
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