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...




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, 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







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 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 for
x=180.

Choose the correct answer below.







A.


423.897






B.


485.457






C.


526.497






D.


not meaningful





​(b) Predict the value of y for
x=90.

Choose the correct answer below.







A.


300.777






B.


423.897






C.


526.497






D.


not meaningful





​(c) Predict the value of y for
x=150.

Choose the correct answer below.







A.


300.777






B.


485.457






C.


423.897






D.


not meaningful





​(d) Predict the value of y for
x=200.

Choose the correct answer below.







A.


526.497






B.


300.777






C.


485.457






D.


not meaningful






Jun 07, 2022
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