1. C. The linear relationship with r=−0.84 because it is the closest to −1, indicating a strong negative correlation.
2. B. A strong positive correlation exists between the variables.
3. D. A strong negative correlation exists between the variables.
4. C. A weak positive correlation exists between the variables.
5. D. r=0.989.
1. Which linear relationship has a stronger correlation, a relationship with r=−0.84 or a relationship with r=0.72? Explain. (1 point)
A. The linear relationship with r=0.72 because it has the smallest absolute value.
B. The linear relationship with r=0.72 because it is the closest to 1.
C. The linear relationship with r=−0.84 because it is the closest to −1.
D. The linear relationship with r=−0.84 because the absolute value of r is closer to 1.
2. A biology student is investigating the claim that the temperature can be predicted by counting cricket chirps. He collected some data and found that the correlation coefficient is 0.82. What kind of correlation exists between the variables? (1 point)
A. a strong negative correlation
B. a strong positive correlation
C. a weak positive correlation
D. a weak negative correlation
3. A researcher monitoring the power from the solar panels on a Mars lander has developed a regression model for the available power output in watts, P, against the number of days since landing, d, to help predict the change in power due to dust accumulation. The correlation coefficient is −0.92. What kind of correlation exists between the variables?
A. a weak positive correlation
B. a strong positive correlation
C. a weak negative correlation
D. a strong negative correlation
4. A real estate agent has developed a linear model for the price of a house, P, in dollars in terms of the area, A, in square feet for the homes in a certain neighborhood. The correlation coefficient for the relationship is 0.42. What kind of correlation exists between the variables? (1 point)
A. a strong positive correlation
B. a weak negative correlation
C. a weak positive correlation
D. a strong negative correlation
5. A fisherman has collected data about the length in inches, L, and weight in ounces, w, of fish he has caught. The data are in the table below. What is the correlation coefficient?
L 12 16 16 17 18 19 21 23
w 8 17 19 20 27 30 37 42
A. r=0.978
B. r=−33.274
C. r=3.283
D. r=0.989
please help
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