PRESENTER:CARLA KIRKLAND

Algebra I Remediation

DATA ANALYSIS and

PROBABILITY

Objective 5a

Draw conclusions and make predictions from scatter plots. (DOK 3)

4. The scatter plot below compares the math and science scores of twelve students in one classroom.

Based on the trend shown in the line-of-best fit, which is closest to the expected grade of a student that scores an 86 in math?

A. 82B. 85C. 87D. 89

MSATP Alg I, Test 1, 5a

Question Number 4

Explanation: Notice that as the math scores increase, the science scores tend to cluster closer towards the line-of-best-fit.

Try A: Doesn’t follow trend – too far from line

Try B: Doesn’t follow trend – too close to other dot

Try C: Follows trend and is on 87

Try D: Doesn’t follow trend – too close to other dot

Calculator Key Strokes: clear List 1 and List 2

Enter the following in for L1:

72, 74, 74, 76, 78, 78, 79, 82, 82, 84, 87, 87

Enter the following in for L2

74, 77, 78, 78, 81, 82, 84, 84, 85, 87, 88, 89

And, for C: 186

87

run

rise

Answer: C

2nd 2 , 2nd 1 ENTER STAT

y = ax + b

a = .920…

b = 9.144…

a ≈ 1

b ≈ 9

ENTER STAT

4

20. The scatter plot below shows data from an experiment that tested the amount of lactic acid present in aging cheese.

Which best describes the relationship between the age of the cheese and the amount of lactic acid present in the cheese, as shown in the scatter plot?

A There is no correlation.B There is a positive correlation.C There is a negative correlation.D There is a non-linear correlation.

MSATP Alg I, Test 1, 5a

Question Number 20

Explanation: Notice that, in general, as the number of days the cheese is aged gets larger, the number of parts per thousand gets larger. So the slope is positive because

run

rise.

Answer: B

39. The number of participants in a charity walk-a-thon has increased over the past 7 years, as shown in the scatter plot below.

Based on the linear model, which is the best prediction for the number of participants during the 9th year of this charity walk-a-thon?

A 450B 500C 525D 600 MSATP Alg I, Test 1, 5a

Question Number 39

Explanation: Notice as the years increase, the dots cluster closer to the line. And, notice the line is headed straight towards the corner of the next square, at (9, 600) and that every other time the line has passed through the corners (1, 100), (6, 400), the dots have been either on the line or very close to it. So, it looks as though the number of participants is most likely to be at 600 on the 9th year.

Answer: D

MSATP, Alg I, Test 2, 5a

7. Lisa recorded the concentration, in milligrams per liter, of dissolved oxygen in saline water at different temperatures, in degrees Celsius, and made the scatter plot shown.

Which of the following statements is true about the relationship between the concentration of dissolved oxygen and the temperature of the water?A. The concentration of dissolved oxygen in water decreases with an increase in

temperature.

B. The concentration of dissolved oxygen in water increases with an increase in temperature.

C. The concentration of dissolved oxygen in water does not depend on the temperature of the water.

D. The concentration of dissolved oxygen in water decreases with a decrease in temperature.

Question Number 7

Explanation: Notice that as the numbers associated with degrees get larger, the numbers associated with the concentration of dissolved oxygen in water get smaller.

Answer: A

MSATP, Alg I, Test 2, 5a

56. The data below shows the velocity of a cyclist during a 10-second time period.

Based on the scatter plot, which of the following describes the time when the velocity of the cyclist was greater than 11 feet per second?

F. Between 5 and 7 secondsG. Between 5.5 and 8.5 secondsH. Between 6.5 and 7.5 secondsJ. Between 7 and 9 seconds

Question Number 56

Explanation: When velocity is greater than 11 feet per second there are 3 dots

associated: at 6 seconds, 7 seconds, and 8 seconds.

Try F: 7, 8 are not between 5 and 7

Try G: 5, 5 < 6, 7, 8 < 8.5 YES

Try H: 6, 8 are not between 6.5 and 7.5

Try J: 6 is not between 7 and 9

Answer: G