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, x16017013012070180 (a)x=180calories(b)x=90caloriesSodium, y430480320380280510 (c)x=150calories(d)x=200caloriesFind 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 120 units above the origin; 30 units to the right of and 280 units above the origin; 40 units to the right of and 330 units above the origin; 50 units to the right of and 180 units above the origin; 60 units to the right of and 210 units above the origin. A line falls from left to right and passes through the points (0, 266) and (130, 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: 50 units to the right of and 180 units above the origin; 100 units to the right of and 280 units above the origin; 110 units to the right of and 80 units above the origin; 130 units to the right of and 330 units above the origin; 130 units to the right of and 380 units above the origin; 140 units to the right of and 410 units above the origin. A line falls from left to right and passes through the points (0, 466) and (227, 0). 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 280 units above the origin; 120 units to the right of and 380 units above the origin; 130 units to the right of and 320 units above the origin; 160 units to the right of and 430 units above the origin; 170 units to the right of and 480 units above the origin; 180 units to the right of and 510 units above the origin. A line rises from left to right and passes through the points (50, 219) and (100, 321). 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: 80 units to the right of and 330 units above the origin; 100 units to the right of and 300 units above the origin; 130 units to the right of and 430 units above the origin; 140 units to the right of and 370 units above the origin; 170 units to the right of and 460 units above the origin; 80 units to the right of and 330 units above the origin. A line rises from left to right and passes through the points (50, 225) and (100, 327). All coordinates are approximate.(a) Predict the value of y forx=180.Choose the correct answer below. A.423.897 B.485.457 C.526.497 D.not meaningful(b) Predict the value of y forx=90.Choose the correct answer below. A.300.777 B.423.897 C.526.497 D.not meaningful(c) Predict the value of y forx=150.Choose the correct answer below. A.300.777 B.485.457 C.423.897 D.not meaningful(d) Predict the value of y forx=200.Choose the correct answer below. A.526.497 B.300.777 C.485.457 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, x16017013012070180 ​(a)x=180calories​(b)x=90calories​Sodium, y430480320380280510 ​(c)x=150calories​(d)x=200caloriesFind 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 120 units above the origin; 30 units to the right of and 280 units above the origin; 40 units to the right of and 330 units above the origin; 50 units to the right of and 180 units above the origin; 60 units to the right of and 210 units above the origin. A line falls from left to right and passes through the points (0, 266) and (130, 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: 50 units to the right of and 180 units above the origin; 100 units to the right of and 280 units above the origin; 110 units to the right of and 80 units above the origin; 130 units to the right of and 330 units above the origin; 130 units to the right of and 380 units above the origin; 140 units to the right of and 410 units above the origin. A line falls from left to right and passes through the points (0, 466) and (227, 0). 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 280 units above the origin; 120 units to the right of and 380 units above the origin; 130 units to the right of and 320 units above the origin; 160 units to the right of and 430 units above the origin; 170 units to the right of and 480 units above the origin; 180 units to the right of and 510 units above the origin. A line rises from left to right and passes through the points (50, 219) and (100, 321). 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: 80 units to the right of and 330 units above the origin; 100 units to the right of and 300 units above the origin; 130 units to the right of and 430 units above the origin; 140 units to the right of and 370 units above the origin; 170 units to the right of and 460 units above the origin; 80 units to the right of and 330 units above the origin. A line rises from left to right and passes through the points (50, 225) and (100, 327). All coordinates are approximate.​(a) Predict the value of y forx=180.Choose the correct answer below.  A.423.897 B.485.457 C.526.497 D.not meaningful​(b) Predict the value of y forx=90.Choose the correct answer below.  A.300.777 B.423.897 C.526.497 D.not meaningful​(c) Predict the value of y forx=150.Choose the correct answer below.  A.300.777 B.485.457 C.423.897 D.not meaningful​(d) Predict the value of y forx=200.Choose the correct answer below.  A.526.497 B.300.777 C.485.457 D.not meaningful

Accepted Answer

Regression Equation:
y^=2.052 x + 116.097

Calories, x	160	170	130	120	70	180		(a) x=180 calories	(b) x=90 calories
Sodium, y	430	480	320	380	280	510		(c) x=150 calories	(d) x=200 calories