Question

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The table shown below lists the costy (in dollars) of purchasing cubic yards of red landscaping mulch. The variable x is the length (ft) of each side of a cubic yard. Construct a scatterplot and identify the mathematical model that best fits the given data 1 4. 5 y (dollars) 33 6.2 12 14.9 17.8 Choose the correct scatterplot below. A 30- 20 20 20 N 10- 10- complete your choice. Enter only nonzero values. What is the equation of the best model? Select the correct choice below and fill in the answer boxes (Type integers or decimals rounded to three decimal places as needed.) O A. y + Dinx ов, у OC. y OD y=( O E. y . Dx+

Answer 1

solution:-

choose the correct scatterplot below

option B.

the equation of the best model

option B. y = 0.4 + (2.9)x

explanation:-

X Y Χ.Υ Χ. Χ 1 3.3 3.3 1 2 6.2 12.4 4 3 9.1 27.3 9 4 12 48 16 5 14.9 74.5 25 6 17.8 106.8 36 Find the sum of every column: ΣΧ = 21, ΣΥ = 63.3, ΣΧ.Υ = 272.3, ΣΧ? = 91 Use the following equations to find a and b: a ΣΥΣΧ? - ΣΧ.ΣΧΥ η-ΣΧ2 – (Σ Χ)? 63.3. 91 - 21 - 272.3 6. 91 – 212 & 0.4 6 = η-ΣΧΥ – ΣΧ.ΣΥ η-ΣΧ2 – (Σ x)? 6 - 272.3 – 21 - 63.3 6. 91 – (21)? & 2.9 Substitute a and b in regression equation formula 9 = a +6.0 y 0.4 + 2.9.α