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. ​(a) x=140 cm ​(b) x=172 cm ​(c) x=164 cm ​(d) x=158 cm Length, x Girth, y 137           107 168           130 153           117 146          106 160           124 160           120 123          103 137           104 155          119 148          111 146         107 145         110   (a) The equation of the regression line is y=   x+      . ​(Round to two decimal places as​ needed.)   Construct a scatter plot of the data and draw the regression line. Plot length on the horizontal axis and girth on the vertical axis.       ​(b) Predict the girth for a length of 140 ​cm, if it is meaningful. Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice. Fill for y if necessary A. y= cm ​(Round to two decimal places as​ needed.)   B. It is not meaningful to predict this value of y because x=140 is inside the range of the original data.   C. It is not meaningful to predict this value of y because x=140 is not an​ x-value in the original data.   ​(c) Predict the girth for a length of 172 ​cm, if it is meaningful. Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice. fill Y if necessary   A. y= cm ​(Round to two decimal places as​ needed.)   B. It is not meaningful to predict this value of y because x=172 is well outside the range of the original data.   C. It is not meaningful to predict this value of y because x=172 is not an​ x-value in the original data.   ​(d) Predict the girth for a length of 164 ​cm, if it is meaningful. Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice. fill for y if necessary   A. y=nothing cm ​(Round to two decimal places as​ needed.)   B. It is not meaningful to predict this value of y because x=164 is not an​ x-value in the original data.   C. It is not meaningful to predict this value of y because x=164 is inside the range of the original data.   ​(e) Predict the girth for a length of 158 ​cm, if it is meaningful. Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice. Fill for Y if necessary   A. y= cm ​(Round to two decimal places as​ needed.)   B. It is not meaningful to predict this value of y because x=158 is inside the range of the original data.   C. It is not meaningful to predict this value of y because x=158 is not an​ x-value in the original data

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

Length, x Girth, y
137           107
168           130
153           117
146          106
160           124
160           120
123          103
137           104
155          119
148          111
146         107
145         110

 

(a)
The equation of the regression line is
y=   x+      .
​(Round to two decimal places as​ needed.)

 

Construct a scatter plot of the data and draw the regression line. Plot length on the horizontal axis and girth on the vertical axis.

 

 

 

​(b) Predict the girth for a length of
140
​cm, if it is meaningful. Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.
Fill for y if necessary
A.
y=
cm ​(Round to two decimal places as​ needed.)
 
B.
It is not meaningful to predict this value of y because
x=140
is inside the range of the original data.
 
C.
It is not meaningful to predict this value of y because
x=140
is not an​ x-value in the original data.
 
​(c) Predict the girth for a length of
172
​cm, if it is meaningful. Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.
fill Y if necessary
 
A.
y=
cm ​(Round to two decimal places as​ needed.)
 
B.
It is not meaningful to predict this value of y because
x=172
is well outside the range of the original data.
 
C.
It is not meaningful to predict this value of y because
x=172
is not an​ x-value in the original data.
 
​(d) Predict the girth for a length of
164
​cm, if it is meaningful. Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.
fill for y if necessary
 
A.
y=nothing
cm ​(Round to two decimal places as​ needed.)
 
B.
It is not meaningful to predict this value of y because
x=164
is not an​ x-value in the original data.
 
C.
It is not meaningful to predict this value of y because
x=164
is inside the range of the original data.
 
​(e) Predict the girth for a length of
158
​cm, if it is meaningful. Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.
Fill for Y if necessary
 
A.
y=
cm ​(Round to two decimal places as​ needed.)
 
B.
It is not meaningful to predict this value of y because
x=158
is inside the range of the original data.
 
C.
It is not meaningful to predict this value of y because
x=158
is not an​ x-value in the original data
 
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