NC Math 1 Released EOC - Calculator Active

A statistician collected the following data to explore the relationship between two variables, x and y.

The statistician performed a linear regression and also plotted the residuals.

• Based on the residual plot, the statistician decided to exclude one data point.

• The statistician then performed linear regression on the set of remaining data points.

• The result was that the new linear model fit the remaining data more closely than the original model fit the original data.

Which data point did the statistician exclude?

• (2.3, 11.0)

• (4.2, 16.5)

• (6.4, 23.1)

• (8.2, 24.3)

A set of nine data points is shown below.

8, 11, 12, 10, 9, 7, 5, 3, 9

Which statement is true if a tenth data point of 45 is added to the data set?

• The mean and median will both increase.

• The mean will increase and the median will decrease.

• The mean will increase and the median will remain the same.

• The mean and median will both decrease.

Three systems of equations are shown in the table below.

Match the choice that describes the number of solutions of each system into the appropriate column in the table below.

• one solution

• 
• infinitely many solutions

• 
• no solution

• 

A club began with 3 members. Each month, each member brought one new member. Which function can be used to determine the number of members x months after the club began?

Every ten years, the Census counts how many people are living in every town in the United States.

• The 2010 Census showed that 1,000 people were living in Appleville, and 4,000 people were living in Bridgetown.

• The population of Appleville is predicted to double every ten years.

• The population of Bridgetown is predicted to increase by 1,000 every ten years.

If the predictions come true, what will be the first census year that will show Appleville with a larger population than Bridgetown?

Type your numeric answer in the space provided.

Two stores have movies to rent.

• The first store charges a $12.50-per-month membership fee plus $1.50 per movie rented.

• The second store has no membership fee but charges $3.50 per movie rented.

What is the minimum number of movies a person would need to rent in a month for the first store to be a better deal?

Type your numeric answer in the space provided.

Also, who still rents movies from a store?

Karen has two dogs. The larger dog weighs 1.4 pounds more than the smaller dog. The combined weight of the two dogs is 12.6 pounds. What is the weight, in pounds, of the smaller dog?

Type your numeric answer in the space provided.