Algebra 1 | Unit 3: Two-variable Statistics | End-of-Unit Assessment

Which of these graphs represents the residuals for a scatter plot that is fit well by a linear model?

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HSS-ID.B.6.b

Twenty-one young men got a quote for the cost of a car insurance policy. The policy cost and ages of the men are shown in the scatter plot. Select all the statements that are true based on the scatter plot.

• Every 19-year-old in this group has a lower cost of car insurance than the 18-year-olds.

• Car insurance policy cost tends to decrease as age of the driver increases.

• The value of the correlation coefficient is very close to -1, so there is no association between age and car insurance policy cost.

• The line of best fit indicates that, in general, the cost of a car insurance policy for a 21-year-old should be, on average, about $315 less than the cost of a car insurance policy for a 20-year-old.

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HSS-ID.B.6.a

HSS-ID.C.7

HSS-ID.C.8

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HSS-ID.B.6.c

Kiran collects data about the number of trees on school property and the average standardized test scores for those schools. Kiran says, 'The scatter plot between the number of trees on a school property and student standardized tests scores shows a strong and positive correlation. An increase in the number of trees on school property causes the students to score better on standardized tests.' What does it mean for the relationship between the variables when the correlation is strong in this situation?

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HSS-ID.C

What does it mean for the relationship between the variables when the correlation is positive in this situation?

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HSS-ID.C

What is wrong with the last sentence of Kiran's statement? Explain your reasoning.

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HSS-ID.C

A student surveyed 100 adults who took either vitamin C, zinc, or echinacea supplements to prevent getting a cold. The adults were asked if they had a cold or no cold in the last 30 days. The results are shown in the table.

	no cold	cold	total
vitamin C	41	15	56
zinc	12	5	17
echinacea	21	6	27
total	74	26	100

What proportion of adults in the survey took echinacea?

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HSS-ID.B.5

What proportion of adults who took vitamin C reported having a cold in the last 30 days?

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HSS-ID.B.5

What proportion of adults who reported having a cold took zinc?

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HSS-ID.B.5

The purchasing habits of 1,000 grocery shoppers are noted. No association is found between the variables. Fill in the empty portion of the table with values that would support this claim. Explain your reasoning.

	bought milk	no milk bought
bought eggs	422	228
no eggs bought

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HSS-ID.B.5