The accompanying data are the number of wins and the earned run averages​ (mean number of earned runs allowed per nine innings​ pitched) for eight baseball pitchers in a recent season. 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) x=5 wins ​(b) x=10 wins ​(c) x=19 wins ​(d) x=15 wins   LOADING... Click the icon to view the table of numbers of wins and earned run average.       Question content area bottom Part 1 The equation of the regression line is y=negative 0.20−0.20x+6.586.58. ​(Round to two decimal places as​ needed.) Part 2 Construct a scatter plot of the data and draw the regression line. Choose the correct graph below.     A.         061218240246WinsERA         A scatterplot has a horizontal axis labeled "Wins" from 0 to 24 in increments of 2 and a vertical axis labeled "ERA" from 0 to 6 in increments of 0.5. The following points are plotted: 9 units to the right of and 5.2 units above the origin; 11 units to the right of and 3.8 units above the origin; 12 units to the right of and 4.4 units above the origin; 14 units to the right of and 3.9 units above the origin; 16 units to the right of and 3.7 units above the origin; 17 units to the right of and 2.7 units above the origin; 18 units to the right of and 3.4 units above the origin; 20 units to the right of and 2.7 units above the origin. A line falls from left to right and passes through the points (10, 4.6) and (20, 2.6). All coordinates are approximate.   B.         061218240246WinsERA         A scatterplot has a horizontal axis labeled "Wins" from 0 to 24 in increments of 2 and a vertical axis labeled "ERA" from 0 to 6 in increments of 0.5. The following points are plotted: 9 units to the right of and 5.2 units above the origin; 11 units to the right of and 3.8 units above the origin; 12 units to the right of and 4.4 units above the origin; 14 units to the right of and 3.9 units above the origin; 16 units to the right of and 3.7 units above the origin; 17 units to the right of and 2.7 units above the origin; 18 units to the right of and 3.4 units above the origin; 20 units to the right of and 2.7 units above the origin. A horizontal line crosses the vertical axis at 4. All coordinates are approximate.   C.         061218240246WinsERA         A scatterplot has a horizontal axis labeled "Wins" from 0 to 24 in increments of 2 and a vertical axis labeled "ERA" from 0 to 6 in increments of 0.5. The following points are plotted: 9 units to the right of and 5.2 units above the origin; 11 units to the right of and 3.8 units above the origin; 12 units to the right of and 4.4 units above the origin; 14 units to the right of and 3.9 units above the origin; 16 units to the right of and 3.7 units above the origin; 17 units to the right of and 2.7 units above the origin; 18 units to the right of and 3.4 units above the origin; 20 units to the right of and 2.7 units above the origin. A line falls from left to right and passes through the points (10, 5.3) and (20, 2). All coordinates are approximate.   D.       061218240246WinsERA   Wins, x    Earned run average, y 20    2.65 18    3.35 17    2.72 16    3.66 14    3.88 12    4.38 11    3.78 9    5.17

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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The accompanying data are the number of wins and the earned run averages​ (mean number of earned runs allowed per nine innings​ pitched) for
eight
baseball pitchers in a recent season. 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)
x=5
wins
​(b)
x=10
wins
​(c)
x=19
wins
​(d)
x=15
wins
 
LOADING...
Click the icon to view the table of numbers of wins and earned run average.
 
 
 

Question content area bottom

Part 1
The equation of the regression line is
y=negative 0.20−0.20x+6.586.58.
​(Round to two decimal places as​ needed.)
Part 2
Construct a scatter plot of the data and draw the regression line. Choose the correct graph below.
 
 
A.
 
 
 
 
061218240246WinsERA
 
  •  
  •  
  •  
A scatterplot has a horizontal axis labeled "Wins" from 0 to 24 in increments of 2 and a vertical axis labeled "ERA" from 0 to 6 in increments of 0.5. The following points are plotted: 9 units to the right of and 5.2 units above the origin; 11 units to the right of and 3.8 units above the origin; 12 units to the right of and 4.4 units above the origin; 14 units to the right of and 3.9 units above the origin; 16 units to the right of and 3.7 units above the origin; 17 units to the right of and 2.7 units above the origin; 18 units to the right of and 3.4 units above the origin; 20 units to the right of and 2.7 units above the origin. A line falls from left to right and passes through the points (10, 4.6) and (20, 2.6). All coordinates are approximate.
 
B.
 
 
 
 
061218240246WinsERA
 
  •  
  •  
  •  
A scatterplot has a horizontal axis labeled "Wins" from 0 to 24 in increments of 2 and a vertical axis labeled "ERA" from 0 to 6 in increments of 0.5. The following points are plotted: 9 units to the right of and 5.2 units above the origin; 11 units to the right of and 3.8 units above the origin; 12 units to the right of and 4.4 units above the origin; 14 units to the right of and 3.9 units above the origin; 16 units to the right of and 3.7 units above the origin; 17 units to the right of and 2.7 units above the origin; 18 units to the right of and 3.4 units above the origin; 20 units to the right of and 2.7 units above the origin. A horizontal line crosses the vertical axis at 4. All coordinates are approximate.
 
C.
 
 
 
 
061218240246WinsERA
 
  •  
  •  
  •  
A scatterplot has a horizontal axis labeled "Wins" from 0 to 24 in increments of 2 and a vertical axis labeled "ERA" from 0 to 6 in increments of 0.5. The following points are plotted: 9 units to the right of and 5.2 units above the origin; 11 units to the right of and 3.8 units above the origin; 12 units to the right of and 4.4 units above the origin; 14 units to the right of and 3.9 units above the origin; 16 units to the right of and 3.7 units above the origin; 17 units to the right of and 2.7 units above the origin; 18 units to the right of and 3.4 units above the origin; 20 units to the right of and 2.7 units above the origin. A line falls from left to right and passes through the points (10, 5.3) and (20, 2). All coordinates are approximate.
 
D.
 
 
 
061218240246WinsERA
 
Wins, x    Earned run average, y
20    2.65
18    3.35
17    2.72
16    3.66
14    3.88
12    4.38
11    3.78
9    5.17
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