The accompanying data are the length​ (in centimeters) and girths​ (in centimeters) of 12 harbor seals. Find the equation of the regression line. Then construct a scatter plot of the data and draw the regression line. Then use the regression equation to predict the value of y for each of the given x-values, if meaningful

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The accompanying data are the length​ (in centimeters) and girths​ (in centimeters) of 12 harbor seals. Find the equation of the regression line. Then construct a scatter plot of the data and draw the regression line. Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. If the​ x-value is not meaningful to predict the value of​ y, explain why not.

Length, x      Girth, y

136                 105

168                 131

151                 117

144                 106

160                 126

159                 119

123                 102

138                 103

156                 120

147                 111

148                 106

147                 109

The equation of the regression line is ŷ =  ______ x + ______

​(Round the slope to three decimal places as needed. Round the​ y-intercept to two decimal places as​ needed.)   

(a) x = 140 cm,  ​ (b) x = 172 cm,   (c) x = 164 cm,   ​(d) x = 158 cm

Use the regression equation to predict the value of y for each of the given​ x-values, if meaningful. If the​ x-value is not meaningful to predict the value of​ y, explain why not.

​(Round the slope to three decimal places as needed. Round the​ y-intercept to two decimal places as​ needed.)   

​(a) Substitute x = 140 into the regression equation and simplify.

​(b) Substitute x = 172 into the regression equation and simplify.

​(c) Substitute x = 164 into the regression equation and simplify.

​(d) Substitute x = 158 into the regression equation and simplify.

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