Question

5 y - 2 1 4 0-4 Use the given data set to answer parts (a) and (b). a. Find the regression equation for the data points. b. Graph the regression equation and the data points. a. Find the regression equation for the data points. y=+* (Round to two decimal places as needed.)

Answer 1

solution:-

a. the regression equation is

=> y^ = 0.31 -(0.69)x (rounded to two decimals)

explanation:-

Y Χ.Υ Χ. Χ X 5 -2 -10 25 O O 1 1 4 -4 -16 16 I the sum of every column: ΣΧ = 10, ΣΥ= -6, ΣΧ.Υ = -26, Σx? = 42 the following equations to find a and b: a ΣΥΣΧ? - ΣΧ.Σ ΧΥ η· ΣΧ2 – (Σ Χ)? –6 42 – 10.-26 3. 42 – 102 & 0.308 6: η-ΣΧΥ – ΣΧ.ΣΥ •ΣΧ2 – (Σ Χ)? 3.-26 – 10.–6 3. 42 – (10)? N -0.692 η •

b. the regression equation and the data points

1.0 0.5 0.0 -0.5 -1.0 -1.5 -2.0 -2.5 -3.0 -3.5 4.0 -4.5 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0 2.5 13.0 3.5 4.0 4.5 5.0 5.5 6.0 6.5 7.0

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solution:-

a. the regression equation is

=> y^ = -5.4 + (2)x

explanation:-

X Y Χ.Υ Χ. Χ 3 O O 9 5 5 25 25 1 -4 -4 1 2 O O 4 4 2 8 16 the sum of every column: ΣΧ = 15, ΣΥ = 3, ΣΧ.Υ = 29, ΣΧ? = 55 the following equations to find a and b: α = ΣΥΣΧ? - ΣΧΣΧΥ η-ΣΧ2 – (Σ Χ)? 3. 55 – 15 - 29 5. 55 – 152 & –5.4 6 η-ΣΧΥ – ΣΧ.ΣΥ η-ΣΧ2 – (Σ x)? - 5 - 29 – 15 - 3 5 - 55 – (15)? N 2

b. graph

8 6 2 0 -2 -4 -6- -8 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.0 6.5