Mid Cycle 2 Review

Values of X and Y were recorded for an additional three weeks, and the correlation coefficient, r, for the augmented data set was found to be r = -0.85. Which of the following statements best interprets this result?

• There is a weak positive linear association between the two variables.

• There is a weak negative linear association between the two variables.

• There is a strong negative linear association between the two variables.

• There is a strong positive linear association between the two variables.

Fill in the blank about correlation and causation using the word bank provided. Correlated variables may have a ____________ cause but no ____________ relationship to each other.

• Common, Causal

• Correlated, Cause

• Casually, Uncommon

• Uncommon, Correlated

A study was conducted on the temperature and the sales of ice cream. Is it correct to conclude that the temperature vs ice cream sales determine if a person gets sunburn?

• Yes. Ice cream sales is negatively correlated with the temperature, so the data shows that ice cream consumption helps prevent the sunburning.

• No. There is only a weak correlation between the temperature and ice cream sales shows eating ice cream is only a marginally effective way of avoiding getting sunburn.

• Yes. Since there are no other possible explanations for the correlation that can be controlled for, the correlation between ice cream sales and sunburn is sufficient evidence for the claim.

• No. Although there is a strong correlation between temperature and ice cream sales is not evidence that ice cream sales help prevent sunburn because it is a causal claim.

Some statements about the data are given: I. The value of the correlation coefficient is 0.98. II. The value of the correlation coefficient is 0.96. III. There is a strong linear relation between Monthly Net Income and Monthly Rent with a positive slope. IV. There is a weak linear relation between Monthly Net Income and Monthly Rent with a positive slope. Which statements correctly describe the given data?

• A. I only

• B. I and III only

• C. I and IV only

• D. None

If h(x) is the linear parent function, which of the following is the graph of p(x) = -2/3 h(x-6)?

• A. Graph A

• B. Graph B

• C. Graph C

Ten years ago, a used car was purchased for $20,000. The graph below shows the value of the car at the end of each year for the 10-year period. Which equation best describes the data?

• A. y = 20 - 1.25x

• B. y = 20 + 1.25x

• C. y = 1.25 - 20x

• D. y = 1.25 + 20x

If f(x) = x and g(x) = 3f(x), how does the graph of g compare to the graph of f?

• A. The graph of f is steeper than the graph of g.

• B. The graph of f is less steep than the graph of g.

• C. The graph of g is 3 units above the graph of f.

• D. The graph of g is 3 units to the right of the graph of f.

A group of students would like to know how well the value of coins in a bag can be predicted based on their weight. They collect the following data. Select all the statements that correctly interpret the value of the correlation coefficient for these data.

• A. There is a very strong positive linear association between "weight" and "value" for the new set of coins.

• B. There is a very weak negative linear association between "weight" and "value" for the new set of coins.

• C. There is a very strong negative linear association between "weight" and "value" for the new set of coins.

• D. There is a very weak positive linear association between "weight" and "value" for the new set of coins.

Josué was given the function g(x) = -3x + 5 and asked to evaluate the function when x = -2, 0, and 3. Which of the following represents Josué’s answer?

• A. -11, -5, 4

• B. 11, 5, -4

• C. -11, 5, -4

• D. -11, -5, -410

What is the equation of the line that is parallel to the line 4x + 2y = 10 and passes through the point (4, -6)?

• A. x-2y = 16

• B. 2x+y = 2

• C. 2x+y = 10-14

• D. 2x-y = 2