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 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       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 for x=160. Choose the correct answer below.     A. 446.998   B. 169.468   C. 396.538   D. not meaningful ​(b) Predict the value of y for x=100. Choose the correct answer below.     A. 396.538   B. 169.468   C. 295.618   D. not meaningful ​(c) Predict the value of y for x=140. Choose the correct answer below.     A. 446.998   B. 295.618   C. 396.538   D. not meaningful ​(d) Predict the value of y for x=50. Choose the correct answer below.     A. 295.618   B. 169.468   C. 446.998   D. not meaningful

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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
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
 
 
 
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 for
x=160.
Choose the correct answer below.
 
 
A.
446.998
 
B.
169.468
 
C.
396.538
 
D.
not meaningful
​(b) Predict the value of y for
x=100.
Choose the correct answer below.
 
 
A.
396.538
 
B.
169.468
 
C.
295.618
 
D.
not meaningful
​(c) Predict the value of y for
x=140.
Choose the correct answer below.
 
 
A.
446.998
 
B.
295.618
 
C.
396.538
 
D.
not meaningful
​(d) Predict the value of y for
x=50.
Choose the correct answer below.
 
 
A.
295.618
 
B.
169.468
 
C.
446.998
 
D.
not meaningful
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