A sample of ten commuters were asked for the distance and the time required commuting to their jobs on a given day. The data is shown in the table along with some calculations from the data. Which of the following statements are true in reference to this data? Distance x I3 10 10 12 Time =y 510 15 20 15 25 20 25 35 35 From the data one obtains: SS = 276 S =103.6 %3D = 872.5 X = 68 Er= 205 I) X and Y show a positive correlation with r = .918 II) X and Y show a positive correlation with r = .843 III) Approximately 84.3% of the variation in time is explained by distance O l only O Il only O II only O I and III only O Il and II only O I, II, and III are all true

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A sample of ten commuters were asked for the distance and the time required commuting to their
jobs on a given day. The data is shown in the table along with some calculations from the data.
Distance=x I 35
8.
10 10 12
Time =y
5 10 15 20 15|25 20 25 35 35
From the data one obtains:
SS, = 276 SS =103.6
= 872.5 EX = 68 EY = 205
SS
Compute the equation of the regression line for this data and select the best estimate for the time
when the distance, x = 6.
16.994
16.66
O 19.56
O 18.37
O 20.984
Transcribed Image Text:A sample of ten commuters were asked for the distance and the time required commuting to their jobs on a given day. The data is shown in the table along with some calculations from the data. Distance=x I 35 8. 10 10 12 Time =y 5 10 15 20 15|25 20 25 35 35 From the data one obtains: SS, = 276 SS =103.6 = 872.5 EX = 68 EY = 205 SS Compute the equation of the regression line for this data and select the best estimate for the time when the distance, x = 6. 16.994 16.66 O 19.56 O 18.37 O 20.984
A sample of ten commuters were asked for the distance and the time required commuting to their
jobs on a given day. The data is shown in the table along with some calculations from the data.
Which of the following statements are true in reference to this data?
Distance x I 3
717
18
1011012
Time =y
5 10 15 2015 25 2025 35 35
From the data one obtains:
= 276 SS = 103.6
SS
SS = 872.5 EX =68
2Y = 205
I) X and Y show a positive correlation with r = .918
II) X and Y show a positive correlation with r = .843
III) Approximately 84.3% of the variation in time is explained by distance
O l only
O Il only
O III only
O I and III only
Il and III only
O I, II, and lII are all true
Transcribed Image Text:A sample of ten commuters were asked for the distance and the time required commuting to their jobs on a given day. The data is shown in the table along with some calculations from the data. Which of the following statements are true in reference to this data? Distance x I 3 717 18 1011012 Time =y 5 10 15 2015 25 2025 35 35 From the data one obtains: = 276 SS = 103.6 SS SS = 872.5 EX =68 2Y = 205 I) X and Y show a positive correlation with r = .918 II) X and Y show a positive correlation with r = .843 III) Approximately 84.3% of the variation in time is explained by distance O l only O Il only O III only O I and III only Il and III only O I, II, and lII are all true
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