Question

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 given​ x-values, if meaningful. If the​ x-value is not meaningful to predict the value of​ y, explain why not. ​(a) xequals150 cal ​(b) xequals90 cal ​(c) xequals175 cal ​(d) xequals198 cal LOADING... Click the icon to view the table of caloric and sugar contents. The equation of the regression line is ModifyingAbove y with caretequals nothingxplus nothing. ​(Round to two decimal places as​ needed.) 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. font size decreased by 3 0font size decreased by 3 120font size decreased by 3 220font size decreased by 3 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: (140, 6), (160, 10), (170, 6), (170, 9), (170, 9), (180, 10), (190, 14), (190, 16); (190, 19); (200, 10); (200, 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.

B. font size decreased by 3 0font size decreased by 3 120font size decreased by 3 220font size decreased by 3 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: (140, 6), (160, 10), (170, 6), (170, 9), (170, 9), (180, 10), (190, 14), (190, 16); (190, 19); (200, 10); (200, 17). All coordinates are approximate.

C. font size decreased by 3 0font size decreased by 3 120font size decreased by 3 220font size decreased by 3 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: (140, 6), (160, 10), (170, 6), (170, 9), (170, 9), (180, 10), (190, 14), (190, 16); (190, 19); (200, 10); (200, 17). A trend line that rises from left to right passes through the points (160, 8.3), (180, 11.8), and (200, 15.2). All coordinates are approximate.

D. font size decreased by 3 0font size decreased by 3 120font size decreased by 3 220font size decreased by 3 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: (140, 6), (160, 10), (170, 6), (170, 9), (170, 9), (180, 10), (190, 14), (190, 16); (190, 19); (200, 10); (200, 17). A trend line that rises from left to right passes through the points (160, 5.3), (180, 12.7), and (200, 20). All coordinates are approximate. ​

(a) Predict the sugar content for 150 ​calories, if it is meaningful. Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice. A. ModifyingAbove y with caretequals nothing g ​(Round to two decimal places as​ needed.)

B. It is not meaningful to predict this value of y because xequals150 is inside the range of the original data.

C. It is not meaningful to predict this value of y because xequals150 is not an​ x-value in the original data.

​(b) Predict the sugar content for 90 ​calories, if it is meaningful. Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice. A. ModifyingAbove y with caretequals nothing g ​(Round to two decimal places as​ needed.)

B. It is not meaningful to predict this value of y because xequals90 is not an​ x-value in the original data. C. It is not meaningful to predict this value of y because xequals90 is well outside the range of the original data. ​

(c) Predict the sugar content for 175 ​calories, if it is meaningful. Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice. A. ModifyingAbove y with caretequals nothing g ​(Round to two decimal places as​ needed.) B. It is not meaningful to predict this value of y because xequals175 is not an​ x-value in the original data. C. It is not meaningful to predict this value of y because xequals175 is inside the range of the original data. ​

(d) Predict the sugar content for 198 ​calories, if it is meaningful. Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice. A. ModifyingAbove y with caretequals nothing g ​(Round to two decimal places as​ needed.) B. It is not meaningful to predict this value of y because xequals198 is inside the range of the original data. C. It is not meaningful to predict this value of y because xequals198 is not an​ x-value in the original data. Click to select your answer(s).

​Calories, x	​Sugar, y
	140	6
	200	10
	170	6
	170	9
	180	10
	190	16
	190	14
	200	17
	190	19
	170	9
	160	10

Answer 1

We are given:

X(calories)	y(sugar)
140	6
200	10
170	6
170	9
180	10
190	16
190	14
200	17
190	19
170	9
160	10

SCATTER PLOT:

REGRESSION LINE:

CALORIES	SUGAR	CALORIES*SUGAR	CALORIES2	SUGAR2
	140	6	840	19600	36
	200	10	2000	40000	100
	170	6	1020	28900	36
	170	9	1530	28900	81
	180	10	1800	32400	100
	190	16	3040	36100	256
	190	14	2660	36100	196
	200	17	3400	40000	289
	190	19	3610	36100	361
	170	9	1530	28900	81
	160	10	1600	25600	100
Sum =	1960	126	23030	352600	1636

==178.18181818182

Therefore, based on the above calculations, the regression coefficients (the slope mm, and the y-intercept nn) are obtained as follows:

Therefore, we find that the regression equation is:

SUGAR = -19.2216 + 0.1722 CALORIES

(A)

when X=150(calories)

SUGAR = -19.2216 + 0.1722 CALORIES

SUGAR =-19.2216+0.1722*150

SUGAR=6.6084

A. Modifying Above y with caretequals nothing g ​(Round to two decimal places as​ needed).

(B)

when X=90(calories)

SUGAR = -19.2216 + 0.1722 CALORIES

SUGAR =-19.2216+0.1722*90

SUGAR=-3.7236

C. It is not meaningful to predict this value of y because xequals90 is well outside the range of the original data. ​

shown by box-plot below:

(C)

when X=175(calories)

SUGAR = -19.2216 + 0.1722 CALORIES

SUGAR =-19.2216+0.1722*175

SUGAR=10.9134

A. Modifying Above y with caretequals nothing g ​(Round to two decimal places as​ needed.)

(D)

when X=198(calories)

SUGAR = -19.2216 + 0.1722 CALORIES

SUGAR =-19.2216+0.1722*198

SUGAR=14.874

A. ModifyingAbove y with caretequals nothing g ​(Round to two decimal places as​ needed.)

please rate my answer and comment for doubts.