Math Exam

The scatterplot shows the ages and finishing times of seven men who ran a charity 5k run. Which equation represents this linear model?

• y = 0.47x + 7.72

• y= 0.47x + 29.15

• y = 2.146x - 27.57

• 2.146x - 2.07

Aaliyah, Julio, Dan, and Miriam are each studying sets of data. Aaliyah is working with 14 data pairs with a correlation coefficient of 0.9. Julio is working with 13 data pairs with a correlation coefficient of -0.8. Dan is working with 10 data pairs with a correlation coefficient of 0.1. Miriam is working with 15 data pairs with a correlation coefficient of -0.2. For which two data sets is a linear regression model reasonable?

• Aaliyah's and Julio's data sets

• Julio's and Miriam's data sets

• Dan and Miriam's data sets

• Miriam's and Aaliyah's data set

Which best describes the strength of the correlation, and what is true about the causation between the variables

3 18.8

4 25.1

6 37.7

9 56.5

• It is a weak positive correlation, and it is not like causal

• It is a weak positive correlation, and it is likely causal

• It is a strong positive correlation, and it is not like causal

• It is a strong positive correlation, and it is likely causal

Which is most likely the correlation coefficient for the set of data shown

• -0.872

• -0.191

• 0.191

• 0.872

Maria gathered the data in the table. She finds the line of best fit to be y = 2.78x - 4.4.

What is the residual value when x = 4

1 -2

2 1.3

3 4.2

4 7.3

5 8.9

• -6.72

• -0.58

• 0.58

• 6.72

What does a residual value of 1.3 mean when referring to the line of best fit of a data set

• a data point is 1.3 units above the line of best fit

• A data point is 1.3 units below the line of best fit

• The line of best fit has a slope of -1.3

• The line of best fit has a slope of 1.3

Which table shows no correlation?

• 3 -1

  5 -2

  6 -3

  8 -2

  10 -5

  14 -4

  15 -8

• 3 -6

  5 -7

  6 -4

  8 -2

  10 0

  14 -1

  15 3

• 3 -2

  5 -4

  6 6

  8 8

  10 12

  14 10

  15 -16

• 3 -3

  5 -5

  6 -9

  8 -11

  10 -13

  14 -15

  15 -17

Which relationships could have a negative correlation?

• number of hours on video games and test scores

• speed of a car and minimum stopping distance

• average running speed and total race time

• adult's head circumference and age

• outside temperature and amount of heating bill

Priya is playing a game where she earns online badges for scoring higher than the mean score on a level. After the tenth level, she scores 3,540 points, which is 2 standard deviations above the mean score of 3,110.

What is the standard deviation of scores for the tenth level?

• 215

• 311

• 354

• 430

The histogram shows the weight, in pounds, of checked luggage on a flight. The median weight of a checked bag is 27.5 pounds. How does the mean of the data most likely compare to the median?

• The mean is most likely less than 27 pounds

• The mean is most likely exactly 27.5 pounds

• The mean is most likely about 28 pounds

• The mean is most likely more than 28 pounds