The accompanying data are the caloric contents and the sugar contents(in grams) of 11 high-fiber breakfast cereals. 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 givenx-values, if meaningful. If thex-value is not meaningful to predict the value ofy, explain why not.

(a) x=160 cal

(b) x=90 cal

(c) x=175 cal

(d) x=208 cal

Calories, x Sugar, y

150 6

190 10

160 6

170 9

180 11

190 16

200 13

210 17

190 20

160 9

170 9

The equation of the regression line is

y=

nothing

x+

nothing

.

(Round to two decimal places asneeded.)

Construct a scatter plot of the data and draw the regression line. Plot calories on the horizontal axis and sugar on the vertical axis. Choose the correct graph below.

A.

0

120

220

20

A scatterplot has a horizontal axis labeled from 120 to 220 in increments of 10 and a vertical axis labeled from 0 to 20 in increments of 2. The graph consists of eleven plotted points connected by line segments from left to right. The following points are plotted: (150, 6), (160, 6), (160, 9), (170, 9), (170, 9), (180, 11), (190, 10), (190, 16); (190, 20); (200, 13); (210, 17). All coordinates are approximate.

B.

0

120

220

20

A scatterplot has a horizontal axis labeled from 120 to 220 in increments of 10 and a vertical axis labeled from 0 to 20 in increments of 2. The following points are plotted: (150, 6), (160, 6), (160, 9), (170, 9), (170, 9), (180, 11), (190, 10), (190, 16); (190, 20); (200, 13); (210, 17). A trend line that rises from left to right passes through the points (160, 7.7), (180, 11.6), and (200, 15.6). All coordinates are approximate.

C.

0

120

220

20

A scatterplot has a horizontal axis labeled from 120 to 220 in increments of 10 and a vertical axis labeled from 0 to 20 in increments of 2. The following points are plotted: (150, 6), (160, 6), (160, 9), (170, 9), (170, 9), (180, 11), (190, 10), (190, 16); (190, 20); (200, 13); (210, 17). A trend line that rises from left to right passes through the points (160, 2.7), (180, 10), and (200, 17.3). All coordinates are approximate.

D.

0

120

220

20

A scatterplot has a horizontal axis labeled from 120 to 220 in increments of 10 and a vertical axis labeled from 0 to 20 in increments of 2. The following points are plotted: (150, 6), (160, 6), (160, 9), (170, 9), (170, 9), (180, 11), (190, 10), (190, 16); (190, 20); (200, 13); (210, 17). A trend line that moves from left to right passes through the points (160, 12), (180, 12), and (200, 12). All coordinates are approximate.

(a) Predict the sugar content for 160 calories, if it is meaningful. Select the correct choice belowand, ifnecessary, fill in the answer box within your choice.

A.

y=

nothing

g (Round to two decimal places asneeded.)

B.

It is not meaningful to predict this value of y because x=160 is inside the range of the original data.

C.

It is not meaningful to predict this value of y because x=160 is not anx-value in the original data.

(b) Predict the sugar content for 90 calories, if it is meaningful. Select the correct choice belowand, ifnecessary, fill in the answer box within your choice.

A.

y=

nothing

g (Round to two decimal places asneeded.)

B.

It is not meaningful to predict this value of y because x=90 is well outside the range of the original data.

C.

It is not meaningful to predict this value of y because x=90 is not anx-value in the original data.

(c) Predict the sugar content for 175 calories, if it is meaningful. Select the correct choice belowand, ifnecessary, fill in the answer box within your choice.

A.

y=

nothing

g (Round to two decimal places asneeded.)

B.

It is not meaningful to predict this value of y because x=175 is inside the range of the original data.

C.

It is not meaningful to predict this value of y because x=175 is not anx-value in the original data.

(d) Predict the sugar content for 208 calories, if it is meaningful. Select the correct choice belowand, ifnecessary, fill in the answer box within your choice.

A.

y=

nothing

g (Round to two decimal places asneeded.)

B.

It is not meaningful to predict this value of y because x=208 is not anx-value in the original data.

C.

It is not meaningful to predict this value of y because x=208 is inside the range of the original data.