time series

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WARM UP Debbie has borrowed $2,700, and will pay $75 every month until she has repaid the amount. Paul has borrowed $3,000 and will pay $100 every month. 1. Write and solve an inequality showing how many months it will be until Paul owes less than Debbie. 2. Will Paul owe less than Debbie before loans are repaid in full?

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Page 1: Time Series

WARM UP

Debbie has borrowed $2,700, and will pay $75 every month until she has repaid the amount. Paul has borrowed $3,000 and will pay $100 every month.

1. Write and solve an inequality showing how many months it will be until Paul owes less than Debbie.

2. Will Paul owe less than Debbie before loans are repaid in full?

Page 2: Time Series

WARM UP

Name a number that is 70 when rounded to the nearest ten, is divisible by 2 and 3, and whose digits added together make a perfect square.

Page 3: Time Series

Time Series!!!!When a set of numerical data is collected at regular time intervals, it can be conveniently displayed in a line graph on coordinate grid

Page 4: Time Series

Time Series

When a quantity is measured in regular time intervals, the data

collected are called a time series.

Page 5: Time Series

Example of Time Series

1950

1955

1960

1965

1970

1975

1980

1985

1990

1995

2000

135

140

145

150

155

160

165

170

Height (CM)

Height (CM)

Page 6: Time Series

Natural QuestionsWhat are the maximum value,

minimum value, and range of the quantity being examined?

Are there any trends in the data?How fast has the quantity being

measured changed from one to next.

Page 7: Time Series

Rate of Change

Page 8: Time Series

Time Series in Bar Graphs

1975 1980 1985 1990 1995 20000

10

20

30

40

50

SmallMidsizeLargeLuxury

• What are the maximum values, minimum values, and ranges of each of the four quantities being examined in the data above?• Describe the trends in the data.•Which rates of change are positive, which rates of change are negative