Complete parts​ (a) through​ (c) using the following data. Row 1 2 3 3 3 4 4 5 5 7 8 Row 2 93 82 76 76 96 68 75 83 63 68 ​(a) Find the equation of the regression line for the given​ data, letting Row...




Complete parts​ (a) through​ (c) using the following data.



































Row 1


2


3


3


3


4


4


5


5


7


8




Row 2


93


82


76


76


96


68


75


83


63


68









​(a) Find the equation of the regression line for the given​ data, letting Row 1 represent the​ x-values and Row 2 the​ y-values. Sketch a scatter plot of the data and draw the regression line.


Input the values of the slope and intercept for the regression line when Row 1 represents the​ x-values.



y=x+


​(Round to three decimal places as​ needed.)


Construct a scatter plot of the data and draw the regression line. Plot Row 1 on the horizontal axis and Row 2 on the vertical axis. Choose the correct graph below.






A.








































0

50

100

8












A scatterplot has a horizontal axis labeled from 50 to 100 in increments of 5 and a vertical axis labeled from 0 to 8 in increments of 1. The following points are plotted: (93, 2), (82, 3), (76, 3), (76, 3), (96, 4), (68, 4), (75, 5), (83, 5), (63, 7), (68, 8). A trend line that falls from left to right passes through the points (60, 6.4) and (80, 4.2). All coordinates are approximate.






B.








































0

50

100

8












A scatterplot has a horizontal axis labeled from 50 to 100 in increments of 5 and a vertical axis labeled from 0 to 8 in increments of 1. The following points are plotted: (93, 2), (82, 3), (76, 3), (76, 3), (96, 4), (68, 4), (75, 5), (83, 5), (63, 7), (68, 8). A trend line that rises from left to right passes through the points (60, 4.8) and (80, 6.4). All coordinates are approximate.






C.








































0

50

100

8












A scatterplot has a horizontal axis labeled from 0 to 8 in increments of 1 and a vertical axis labeled from 50 to 100 in increments of 5. The following points are plotted: (2, 93), (3, 82), (3, 76), (3, 76), (4, 96), (4, 68), (5, 75), (5, 83), (7, 63), (8, 68). A trend line that falls from left to right passes through the points (4, 79.4) and (6, 72.4). All coordinates are approximate.






D.








































0

50

100

8












A scatterplot has a horizontal axis labeled from 0 to 8 in increments of 1 and a vertical axis labeled from 50 to 100 in increments of 5. The following points are plotted: (2, 93), (3, 82), (3, 76), (3, 76), (4, 96), (4, 68), (5, 75), (5, 83), (7, 63), (8, 68). A trend line that rises from left to right passes through the points (4, 50) and (6, 75). All coordinates are approximate.





​(b) Find the equation of the regression line for the given​ data, letting Row 2 represent the​ x-values and Row 1 the​ y-values. Sketch a scatter plot of the data and draw the regression line.

Input the values of the slope and intercept for the regression line when Row 2 represents the​ x-values.



y=x+


​(Round to three decimal places as​ needed.)

Construct a scatter plot of the data and draw the regression line. Plot Row 2 on the horizontal axis and Row 1 on the vertical axis. Choose the correct graph below.






A.








































0

50

100

8












A scatterplot has a horizontal axis labeled from 50 to 100 in increments of 5 and a vertical axis labeled from 0 to 8 in increments of 1. The following points are plotted: (93, 2), (82, 3), (76, 3), (76, 3), (96, 4), (68, 4), (75, 5), (83, 5), (63, 7), (68, 8). A trend line that rises from left to right passes through the points (60, 4.8) and (80, 6.4). All coordinates are approximate.






B.








































0

50

100

8












A scatterplot has a horizontal axis labeled from 0 to 8 in increments of 1 and a vertical axis labeled from 50 to 100 in increments of 5. The following points are plotted: (2, 93), (3, 82), (3, 76), (3, 76), (4, 96), (4, 68), (5, 75), (5, 83), (7, 63), (8, 68). A trend line that falls from left to right passes through the points (4, 79.4) and (6, 72.4). All coordinates are approximate.






C.

































0

50

100

8






A scatterplot has a horizontal axis labeled from 50 to 100 in increments of 5 and a vertical axis labeled from 0 to 8 in increments of 1. The following points are plotted: (93, 2), (82, 3), (76, 3), (76, 3), (96, 4), (68, 4), (75, 5), (83, 5), (63, 7), (68, 8). A trend line that falls from left to right passes through the points (60, 6.4) and (80, 4.2). All coordinates are approximate.






D.











0

50

100

8












A scatterplot has a horizontal axis labeled from 0 to 8 in increments of 1 and a vertical axis labeled from 50 to 100 in increments of 5. The following points are plotted: (2, 93), (3, 82), (3, 76), (3, 76), (4, 96), (4, 68), (5, 75), (5, 83), (7, 63), (8, 68). A trend line that rises from left to right passes through the points (4, 50) and (6, 75). All coordinates are approximate.





​(c) What effect does switching the explanatory and response variables have on the regression​ line?







A.


The sign of m is​ unchanged, but the values of m and b change.






B.


The sign and value of m is​ unchanged, but the value of b changes.






C.


The value of m is​ unchanged, but the sign of m and value of b change.






D.


The value of b is​ unchanged, but the sign and value of m change.






E.


The sign and value of m and the value of b all change.






F.


Nothing changes.






Jun 08, 2022
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