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Given are five observations collected in a regression study on two variables. xi 2 6 9...

Given are five observations collected in a regression study on two variables.

xi

 2 6 9 13 20

yi

 7 19 8 27 23

(a)

Develop a scatter diagram for these data.

A scatter diagram has 5 points plotted on it. The horizontal axis ranges from 0 to 25 and is labeled: x. The vertical axis ranges from 0 to 30 and is labeled: y. The points are plotted from left to right starting in the upper left corner of the diagram. Moving from left to right, the first 3 points appear to be plotted in an upward diagonal, direction while the next 2 points are much lower on the diagram.

A scatter diagram has 5 points plotted on it. The horizontal axis ranges from 0 to 25 and is labeled: x. The vertical axis ranges from 0 to 30 and is labeled: y. The points are plotted from left to right in an upward, diagonal direction starting in the lower left corner of the diagram. The points are between 4 to 24 on the vertical axis and are fairly spread out.

A scatter diagram has 5 points plotted on it. The horizontal axis ranges from 0 to 25 and is labeled: x. The vertical axis ranges from 0 to 30 and is labeled: y. The points are plotted from left to right in a downward, diagonal direction starting in the upper left corner of the diagram. The points are between 7 to 27 on the vertical axis and are fairly spread out.

A scatter diagram has 5 points plotted on it. The horizontal axis ranges from 0 to 25 and is labeled: x. The vertical axis ranges from 0 to 30 and is labeled: y. The points are plotted from left to right in an upward, diagonal direction starting in the lower left corner of the diagram. The points are between 7 to 27 on the vertical axis and are fairly spread out.

(b)

Develop the estimated regression equation for these data.

ŷ =

(c)

Use the estimated regression equation to predict the value of y when

x = 2.

math   Statistics-And-Probability   
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Answer #1

Following is the scatter plot of data:

Following table shows the calculations:

X Y X^2 Y^2 XY
2 7 4 49 14
6 19 36 361 114
9 8 81 64 72
13 27 169 729 351
20 23 400 529 460
Total 50 84 690 1732 1011

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