Question

Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line.​ (The pair of variables has a significant​ correlation.) Then use the regression equation to predict the value of y for each of the given​ x-values, if meaningful. The table shows the shoe size and heights​ (in) for 6 men.

font size decreased by 1 font size increased by 1 Shoe size comma xShoe size, x

8.58.5

9.59.5

10.010.0

12.012.0

13.013.0

13.513.5

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​(a)

xequals=size

10.510.5

​(b)

xequals=size

9.09.0

​Height, y

66.066.0

67.067.0

73.073.0

72.072.0

74.074.0

72.072.0

​(c)

xequals=size

15.515.5

​(d)

xequals=size

11.511.5

Find the regression equation.

ModifyingAbove y with caretyequals=nothing xplus+left parenthesis nothing right parenthesis

​(Round to three decimal places as​ needed.)

Answer 1

from above line equation: Yhat=56.662+1.264*x

a)

predicted value =56.662+1.264*10.5=69.934

b)

predicted value =56.662+1.264*9=68.038

c)

not meaningful

d)

predicted value =56.662+1.264*11.5=71.198