**Drawing a Trend Line :**

When a linear association is shown by a scatter plot, we can use a line to model the relationship between the variables. A trend line is a straight line that comes closest to the points on a scatter plot.

**Example 1 :**

Lily is getting trained for a 10K race. For some of her training runs, she records the distance she ran and how many minutes she ran.

**Distance (miles)**

4

2

1

2

3

5

2

4

3

**Time (minutes)**

38

25

07

16

26

55

20

45

31

Draw a trend line that shows the relationship between distance and time.

**Solution : **

**Step 1 : **

Make a scatter plot of Lily’s running data.

**Step 2 :**

To draw a trend line, use a straight edge to draw a line that has about the same number of points above and below it. Ignore any outliers.

**Example 2 :**

David records the number of chapters and the total number of pages for several books as given below.

**No. of chapters**

3

4

5

8

10

11

15

17

19

**No. of pages**

20

44

50

95

90

130

125

170

160

Draw a trend line that shows the relationship between the number of chapters and the number of pages.

**Solution :**

**Step 1 : **

Make a scatter plot of the data given above.

**Step 2 :**

To draw a trend line, use a straight edge to draw a line that has about the same number of points above and below it. Ignore any outliers.

**Example 3 :**

Alex records the number of rainy days in a month and the number of umbrellas sold each month as given below.

**No. of rainy days**

3

3

4

4

5

7

8

10

**No. of Umbrellas**

1

3

3

7

5

5

6

10

Draw a trend line that shows the relationship between the number of rainy days in a month and the number of umbrellas sold each month.

**Solution : **

**Step 1 :**

Make a scatter plot of the data given above.

**Step 2 :**

To draw a trend line, use a straight edge to draw a line that has about the same number of points above and below it. Ignore any outliers.

After having gone through the stuff given above, we hope that the students would have understood, how to draw a trend Line.

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