(1) Facebook (7) Inbox \( \cdot \) Chats Content / STATISTICS AND Best Al Homework Helper ALEKS - ENOCH QUIRINO ChatGPT www-awu.aleks.com/alekscgi/x/Isl.exe/1o_u-lgNsIkr7j8P3jH-IQUa2ixkPpvvLUe713rm-aBwL0A0ILmnRy3J1t8N6ABTwdle0bYdK1d_2Hvzlg7RJQ-XHofMU2ejmNXdw0SZD3Z9qj2TH0o?1oBw7QYjlb... Error Correlation and Simple Linear Regression Identifying correlation and causation ENOCH QUI. \( \checkmark \) Español Answer the questions below. (a) A researcher measured the shoe size and math ability of a large group of children. He found that having a larger shoe size does not indicate that a child has more or less math ability. What does his analysis show? There is no correlation between shoe size and math ability. There is a correlation between shoe size and math ability. There may or may not be causation. Further studies would have to be done to determine this. There is a correlation between shoe size and math ability. There is probably also causation. This is because there is likely an increase in math ability with an increase in shoe size. (b) A grocery store collected sales data. It found that when customers buy less bread, they tend to purchase more rice. What can we conclude? There is no correlation between amount of bread bought and amount of rice purchased. There is a correlation between amount of bread bought and amount of rice purchased. However, there is no causation. This is because there is an increase in the amount of rice purchased with a decrease in the amount of bread bought. There is a correlation between amount of bread bought and amount of rice purchased. There may or may not be causation. Further studies would have to be done to determine this. (c) Henry compared the player statistics from his team's tennis season. He determined that being taller implies that a player has faster serves. What should he say based on his findings? There is no correlation between height and serve speed. There is a correlation between height and serve speed. There may or may not be causation. Further studies would have to be done to determine this. There is a correlation between height and serve speed. However, there is no causation. This is because there is an increase in serve speed with an increase in height. Explanation Check
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Answer the questions below. (a) A researcher measured the shoe size and math ability of a large group of children. She found that having a larger shoe size does not indicate that a child has more or less math ability. What does her analysis show? There is no correlation between shoe size and math ability. There is a correlation between shoe size and math ability. There may or may not be causation. Further studies would have to be done to determine this. There is a correlation between shoe size and math ability. There is probably also causation. This is because there is likely an increase in math ability with an increase in shoe size. (b) A grocery store collected sales data. It found that when customers buy less bread, they tend to purchase more rice. What can we conclude? There is no correlation between amount of bread bought and amount of rice purchased. There is a correlation between amount of bread bought and amount of rice purchased. However, there is no causation. This is because there is an increase in the amount of rice purchased with a decrease in the amount of bread bought. There is a correlation between amount of bread bought and amount of rice purchased. There may or may not be causation. Further studies would have to be done to determine this. (c) Diane compared the player statistics from her team's tennis season. She determined that being taller implies that a player has faster serves. What should she say based on her findings? There is no correlation between height and serve speed. There is a correlation between height and serve speed. There may or may not be causation. Further studies would have to be done to determine this. There is a correlation between height and serve speed. However, there is no causation. This is because there is an increase in serve speed with an increase in height.
Joshua A.
(10 points) For each problem, select the best response. (a) The owner of a chain of supermarkets notices that there is a positive correlation between the sales of beer and the sales of ice cream over the course of the previous year. Seasons when sales of beer were above average, sales of ice cream also tended to be above average. Likewise, during seasons when sales of beer were below average, sales of ice cream also tended to be below average. A plausible explanation of these facts is that A. drinking beer causes a desire for ice cream or eating ice cream causes a thirst for beer. B. the sale of beer and ice cream may both be affected by another variable such as the outside temperature. C. a scatterplot of monthly ice cream sales versus monthly beer sales would show that a straight line describes the pattern in the plot, but it would have to be a horizontal line. D. the sales records must be in error. There should be no association between beer and ice cream sales. E. None of the above. (b) A researcher observes that, on average, the number of divorces in cities with major league baseball teams is larger than in cities without major league baseball teams. The most plausible explanation for this observed association is A. the association is due to the presence of a confounding variable, namely the population of the city. (Major league teams tend to be in large cities with more people, hence a greater number of divorces.) B. the high number of divorces is responsible for the presence of a major league baseball teams (more single men means potentially more fans at the ballpark, making it attractive for an owner to relocate to such cities). C. the presence of a major league baseball team causes the number of divorces to rise (perhaps husbands are spending too much time at the ballpark). D. the observed association is purely coincidental. It is implausible to believe the observed association could be anything other than accidental. E. None of the above. (c) When possible, the best way to establish that an observed association is the result of a cause-and-effect relation is by means of A. the square of the correlation coefficient. B. a well designed experiment. C. the least squares regression line. D. the correlation coefficient. E. None of the above.
Adi S.
Determine whether each situation illustrates a correlation, but not causation or causation. Explain your reasoning. 2. A class experiment shows a negative correlation between the width of a person's palm and the amount of time they spend watching television each day. 3. The larger a person's shoe size, the higher a person's reading level. 4. At a grocery store, there is a negative correlation between the price of cereal and the number of boxes of cereal sold. 5. Hae notices that the lower the daily temperature is, the less time she spends outside. A study compared the average monthly amount spent on swimsuits with the average monthly amount spent on air conditioning for several months in Sunnyside. The data is shown in the scatter plot. Use this information for Exercises 6 and 7. 6. ANALYZE Explain what the scatter plot shows and describe any correlation. 7. WRITE Explain whether this statement is accurate. "There is a strong positive correlation between spending money on swimsuits and spending money on air conditioning. Therefore, to cut down the amount of electricity used in Sunnyside, people should buy fewer swimsuits." 8. CONSTRUCT ARGUMENTS What is meant by this statement: Correlation does not imply causation? Justify your argument. 9. WRITE Does an accurate line of fit always predict what will happen in the future? Explain your reasoning.
Sri K.
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