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3 years ago

The trend line passes through (10,9) and (35,0). Write an equation for the trend line.

Mathematics

1 answer:

andreev551 [17]3 years ago

8 0

Answer: 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.

Step 3 :

Find the slope of the trend line.

The line passes through points (2, 20) and (4.5, 45).

Use the slope formula.

m = (y2 - y1) / (x2 - x1)

Substitute x1, = 2, y1 = 20, x2 = 4, and y2 = 45.

m = (45 - 20) / (4.5 - 2)

m = 25 / 2.5

m = 10

Step 4 :

Find the y-intercept of the trend line.

Slope-intercept form equation of a line :

y = mx + b

Plug y = 20, m = 10 and x = 2.

20 = 10 · 2 + b

20 = 20 + b

Subtract 20 from both sides.

0 = b

Step 5 :

Use your slope and y-intercept values to write the equation.

Slope-intercept form equation of a line :

y = 10x + 0

So, the equation for the trend line is

y = 10x

Example 2 :

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

No. of chapters

No. of pages

130

125

170

160

Step-by-step explanation:

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3 years ago

What is 0.05 repeating as a fraction ?

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3 years ago

A skyscraper with 103 floors is 1133 feet tall each floor is the same height how tall is each floor

alukav5142 [94]

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Find the sum of 7a^3 + 14a +12 and -6a^3 +12a^2 -7

SOVA2 [1]

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4 years ago

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Eddi Din [679]

Answer: The relative frequency of column A in group 1= $0.75$

The relative frequency of column B in group 1= $0.25$

The relative frequency of column A in group 2= $0.56$

The relative frequency of column B in group 2= $0.44$

Step-by-step explanation:

The relative frequency is the ration of each frequency by the total value in particular group.

For group 1 : Total =102+34=136

The relative frequency of column A in group 1= $\frac{102}{136}=0.75$

The relative frequency of column B in group 1= $\frac{34}{136}=0.25$

For group 2 : Total =18+14=32

The relative frequency of column A in group 2= $\frac{18}{32}=0.5625\approx0.56$

The relative frequency of column B in group 2= $\frac{18}{32}=0.4375\approx0.44$

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3 years ago