Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (Each 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 caloric content and the sodium content (in milligrams) for 6 beef hot dogs are shown in the table below. Calories, x15018013012090190 (a)x=160calories(b)x=100caloriesSodium, y430480320360290550 (c)x=140calories(d)x=50calories Find the regression equation. y=nothingx+(nothing)(Round to three decimal places as needed.)Choose the correct graph below. A. 02000560CaloriesSodium (mg) A scatterplot has a horizontal axis labeled "Calories" from 0 to 200 in increments of 20 and a vertical axis labeled "Sodium (in milligrams)" from 0 to 560 in increments of 40. The following points are plotted: 10 units to the right of and 220 units above the origin; 20 units to the right of and 100 units above the origin; 30 units to the right of and 330 units above the origin; 40 units to the right of and 280 units above the origin; 70 units to the right of and 190 units above the origin; 70 units to the right of and 250 units above the origin. A line falls from left to right and passes through the points (0, 193) and (77, 0). All coordinates are approximate. B. 02000560CaloriesSodium (mg) A scatterplot has a horizontal axis labeled "Calories" from 0 to 200 in increments of 20 and a vertical axis labeled "Sodium (in milligrams)" from 0 to 560 in increments of 40. The following points are plotted: 90 units to the right of and 290 units above the origin; 120 units to the right of and 360 units above the origin; 130 units to the right of and 320 units above the origin; 150 units to the right of and 430 units above the origin; 180 units to the right of and 480 units above the origin; 190 units to the right of and 550 units above the origin. A line rises from left to right and passes through the points (50, 169) and (100, 296). All coordinates are approximate. C. 02000560CaloriesSodium (mg) A scatterplot has a horizontal axis labeled "Calories" from 0 to 200 in increments of 20 and a vertical axis labeled "Sodium (in milligrams)" from 0 to 560 in increments of 40. The following points are plotted: 70 units to the right of and 190 units above the origin; 100 units to the right of and 260 units above the origin; 110 units to the right of and 80 units above the origin; 120 units to the right of and 330 units above the origin; 140 units to the right of and 380 units above the origin; 150 units to the right of and 450 units above the origin. A line falls from left to right and passes through the points (0, 393) and (156, 0). All coordinates are approximate. D. 02000560CaloriesSodium (mg) A scatterplot has a horizontal axis labeled "Calories" from 0 to 200 in increments of 20 and a vertical axis labeled "Sodium (in milligrams)" from 0 to 560 in increments of 40. The following points are plotted: 90 units to the right of and 300 units above the origin; 100 units to the right of and 340 units above the origin; 130 units to the right of and 410 units above the origin; 140 units to the right of and 370 units above the origin; 180 units to the right of and 500 units above the origin; 100 units to the right of and 340 units above the origin. A line rises from left to right and passes through the points (50, 175) and (100, 302). All coordinates are approximate.(a) Predict the value of y forx=160.Choose the correct answer below. A.446.998 B.169.468 C.396.538 D.not meaningful(b) Predict the value of y forx=100.Choose the correct answer below. A.396.538 B.169.468 C.295.618 D.not meaningful(c) Predict the value of y forx=140.Choose the correct answer below. A.446.998 B.295.618 C.396.538 D.not meaningful(d) Predict the value of y forx=50.Choose the correct answer below. A.295.618 B.169.468 C.446.998 D.not meaningful

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.​ (Each 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 caloric content and the sodium content​ (in milligrams) for 6 beef hot dogs are shown in the table below. Calories, x15018013012090190 ​(a)x=160calories​(b)x=100calories​Sodium, y430480320360290550 ​(c)x=140calories​(d)x=50calories   Find the regression equation. y=nothingx+​(nothing​)​(Round to three decimal places as​ needed.)Choose the correct graph below.  A.    02000560CaloriesSodium (mg)    A scatterplot has a horizontal axis labeled &#34;Calories&#34; from 0 to 200 in increments of 20 and a vertical axis labeled &#34;Sodium (in milligrams)&#34; from 0 to 560 in increments of 40. The following points are plotted: 10 units to the right of and 220 units above the origin; 20 units to the right of and 100 units above the origin; 30 units to the right of and 330 units above the origin; 40 units to the right of and 280 units above the origin; 70 units to the right of and 190 units above the origin; 70 units to the right of and 250 units above the origin. A line falls from left to right and passes through the points (0, 193) and (77, 0). All coordinates are approximate. B.    02000560CaloriesSodium (mg)    A scatterplot has a horizontal axis labeled &#34;Calories&#34; from 0 to 200 in increments of 20 and a vertical axis labeled &#34;Sodium (in milligrams)&#34; from 0 to 560 in increments of 40. The following points are plotted: 90 units to the right of and 290 units above the origin; 120 units to the right of and 360 units above the origin; 130 units to the right of and 320 units above the origin; 150 units to the right of and 430 units above the origin; 180 units to the right of and 480 units above the origin; 190 units to the right of and 550 units above the origin. A line rises from left to right and passes through the points (50, 169) and (100, 296). All coordinates are approximate. C.    02000560CaloriesSodium (mg)    A scatterplot has a horizontal axis labeled &#34;Calories&#34; from 0 to 200 in increments of 20 and a vertical axis labeled &#34;Sodium (in milligrams)&#34; from 0 to 560 in increments of 40. The following points are plotted: 70 units to the right of and 190 units above the origin; 100 units to the right of and 260 units above the origin; 110 units to the right of and 80 units above the origin; 120 units to the right of and 330 units above the origin; 140 units to the right of and 380 units above the origin; 150 units to the right of and 450 units above the origin. A line falls from left to right and passes through the points (0, 393) and (156, 0). All coordinates are approximate. D.    02000560CaloriesSodium (mg)    A scatterplot has a horizontal axis labeled &#34;Calories&#34; from 0 to 200 in increments of 20 and a vertical axis labeled &#34;Sodium (in milligrams)&#34; from 0 to 560 in increments of 40. The following points are plotted: 90 units to the right of and 300 units above the origin; 100 units to the right of and 340 units above the origin; 130 units to the right of and 410 units above the origin; 140 units to the right of and 370 units above the origin; 180 units to the right of and 500 units above the origin; 100 units to the right of and 340 units above the origin. A line rises from left to right and passes through the points (50, 175) and (100, 302). All coordinates are approximate.​(a) Predict the value of y forx=160.Choose the correct answer below.  A.446.998 B.169.468 C.396.538 D.not meaningful​(b) Predict the value of y forx=100.Choose the correct answer below.  A.396.538 B.169.468 C.295.618 D.not meaningful​(c) Predict the value of y forx=140.Choose the correct answer below.  A.446.998 B.295.618 C.396.538 D.not meaningful​(d) Predict the value of y forx=50.Choose the correct answer below.  A.295.618 B.169.468 C.446.998 D.not meaningful

Accepted Answer

Given information:

Calories, X
Sodium (Y)

150
430

180
480

130
320

120
360…

Calories, x	150	180	130	120	90	190		(a) x=160 calories	(b) x=100 calories
Sodium, y	430	480	320	360	290	550		(c) x=140 calories	(d) x=50 calories