Question

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Linear Models Quick Check
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Question
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 x increases.
x y
1 5
2 9
3 10
4 10.5
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.

(1 point)
Responses

y=x+5

y equals x plus 5

y=5x+11

y equals 5 x plus 11

y=5.05x+1.35

y equals 5.05 x plus 1.35

y=1.35x+5.05

y equals 1.35 x plus 5.05

Answer 1

y = 1.35x + 5.05

Work: slope = [Σ(xy) - n(x̄)(ȳ)]/[Σ(x^2) - n(x̄^2)] = (150 - 5·3·9.1)/(55 - 5·9) = 13.5/10 = 1.35; intercept = 9.1 - 1.35·3 = 5.05.