3. If X and Y have the relation X + Y = 2 then the correlation of X and Y (p) is -1. True or False? Give reasoning.
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- What is the interpretation of r= - 0.12? O There is a weak negative linear relationship between X and Y O There is a weak positive linear relationship between X and Y There is a strong negative linear relationship between X and Y O There is a strong positive linear relationship between X and YFor each problem, select the best response. (a) In a scatterplot of the average price of a barrel of oil and the average retail price of a gallon of gasoline, you expect to see A. a positive association. B. very little association. C. a negative association. D. None of the above. (b) What are all the values that a correlation r can possibly take? A. -1 ≤ ≤ r ≤ ≤ 1 B. r ≥ ≥ 0 C. 0 ≤ ≤ r ≤ ≤ 1 D. None of the above. (c) You have data for many years on the average price of a barrel of oil and the average retail price of a gallon of unleaded regular gasoline. When you make a scatterplot, the explanatory variable on the x -axis A. is the price of oil. B. is the price of gasoline. C. can be either oil price or gasoline price. D. None of the aboveHi! I need help finding the answers in the yellow boxes please :) Thank you so so much!!
- Pls explain the selected option in 5-6 sentence only Which of the following statement(s) are false? (Select all that apply.) a) Correlation measures the strength of a linear relationship between two quantitative variables.-1 ≤ r ≤ 1 b) The sign of r tells the direction of the linear relationship between two quantitative variables. c) The correlation has the same units (e.g., feet or minutes) as the explanatory variable. d) If the correlation between two quantitative variables is zero, then there cannot be a relationship between these two variables.16)Let x be the average number of employees in a group health insurance plan, and let y be the average administrative cost as a percentage of claims. x 3 7 15 32 75 y 40 35 30 26 18 (a) Make a scatter diagram of the data and visualize the line you think best fits the data. Flash Player version 10 or higher is required for this question. You can get Flash Player free from Adobe's website. (b) Would you say the correlation is low, moderate, or strong? positive or negative? strong and negative moderate and negative strong and positive low and negative low and positive moderate and positive (c) Use a calculator to verify that Σx = 132, Σx2 = 6932, Σy = 149, Σy2 = 4725, and Σxy = 2997. Compute r. (Round your answer to three decimal places.)r = As x increases, does the value of r imply that y should tend to increase or decrease? Explain. Given our value of r, we cannot draw any conclusions for the behavior of y as x increases. Given our value of r, y should tend to…
- 7. In an experiment, a balloon was dropped from various heights and the time it took to fall to the floor was recorded. Height (m) 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 0.3 0.5 0.7 0.9| 1.1| 1.3 1.5 1.7 Time (s) a) Is the relationship linear? Explain your reasoning. b) Use algebra to determine the equation of the line of best fit. c) Use the line of best fit to determine the time it would take for the balloon to drop to the floor from 5.0 m.One of the lines in the following scatter plot is the regression line fitted to the data. Which of the statements are correct?I need help with all of them plz.