Statistics Associations

__________ is the science of collecting, organizing, analyzing, and interpreting data in order to make decisions.

• Statistics

• Data

• Population

• Sample

Identify the population and the sample:

The average annual salary for 35 of a company's 1200 accountants is $68,000.

• Population: 1200

  Sample: $68,000

• Population: 35

  Sample: 1200

• Population: 1200

  Sample: 35

• Population: $68,000

  Sample: 1200

Determine whether the numerical value is a parameter or statistic:

A survey of 2514 college board members found that 38% think that higher education costs what it should relative to its value.

• Parameter

• Statistic

Determine whether the numerical value is a parameter or statistic:

Sixty-two of the 97 passengers aboard the Hindenburg airship survived its explosion.

• Parameter

• Statistic

The correlation between a family's weekly income and the amount they spend on restaurant meals is found to be r = 0.42. Which of the following must be true (select all that apply)

• Families tend to spend about 42% of their incomes in restaurants

• In general, the higher the income, the more the family spends at restaurants

• The association between income and restaurant spending is positive, but weak

• As a family's income increases, they tend to spend $42 more each week at restaurants

A perfect negative correlation has a correlation coefficient of ____. 

• 1

• -1

• 0

A perfect positive correlation has a correlation coefficient of ____. 

• 1

• -1

• 0

The correlation coefficient between a family's weekly income and the amount they spend on restaurant meals is found to be 0.42. Which of the following must be true (select all that apply)

• Families tend to spend about 42% of their incomes in restaurants

• In general, the higher the income, the more the family spends at restaurants

• The association between income and restaurant spending is positive, but weak

• As a family's income increases, they tend to spend $42 more each week at restaurants

Which situation would most likely show a negative association?

• the age of a car and its resale value

• the weight of a dog and the amount of food it eats per day

• the number of minutes exercised per day and a person's height

• the amount of time a boy plays video games and his savings account

As x increases, y increases

• correlation coefficient

• causation

• positive association

• negative association