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The percentages of births outside marriage in a particular country are shown in the table to the right for various years.
Let p be the percentage of births outside marriage in the country at t years since 1900. Complete parts (a) through
(c).
Year
1970
1975
1980
1985
1990
1995
2000
2005
Percent of Births
Outside Marriage
10.7
12.7
20.4
223
26.8
28.1
33.3
39.6
a. Use a graphing calculator to draw a scattergram of the data. Choose the correct scattergram below.
ОА.
OB.
Ос. .
a
OD
Q
Q
S
All graphs are [65, 110,5] by [5,45,5].
b. Find an equation of a linear model to describe the data. Choose the correct answer below.

The percentages of births outside marriage in a particular country are shown in the table to the right for various years Let p be the percentage of births outsi class=

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Answer:

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Scatter diagrams makes use of dots to represent the relationship between variables. The appropriate scatter diagram which depicts the data given is the option C.

Using a graphing calculator :

X _ axis : _____Y_axis

1970 _________ 10.7

1975 _________ 12.7

1980 _________20.4

1985 _________22.3

1990 _________26.8

1995 _________28.1

2000 ________ 33.3

2005 ________ 39.6

The scatter diagram created using the data is attached below.

  • The scatter diagram obtained is similar to that given in the option C.
  • The linear regression equation obtained from the plot is : ŷ = 0.793x - 1551.093
  • Where : ŷ = Predicted value
  • x = independent variable
  • Intercept = - 1551.093
  • Slope = 0.793

Therefore, the scatterdiagram which relates to the data is the option.

Learn more : https://brainly.com/question/11256094?referrer=searchResults

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