Explain whether the data are correlated. If so, tell wh (See Example 3.) 9. Explain whether correlation is likely in the situs causal relationship. 11. the height of a building and the number of st 12. the weight of a dog and the length of its tail
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- Data set 1: Height of a building and the number of stories. - Data set 2: Weight of a dog and the length of its tail. Show more…
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Questions: 1. Give an example of variables that have correlation but no causation exists? [1 sentence or a graph] 2. How do we decide if the correlation coefficient is close enough to ± 1 to declare that there is correlation? [1 sentence] 3. What is the problem with using a regression equation to predict what will happen in the distant future? [2 sentences]
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State whether you think that the variables have a strong positive correlation, weak positive correlation, strong negative correlation, weak negative correlation, or no correlation. 1. The unemployment rate and the number of homeless people. 2. Test score and height for adults. 3. Actual temperature on a given day and the temperature that had been forecast for that day 10 days previously. 4. Age and remaining life expectancy.
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Perform the following steps. a. Draw the scatter plot for the variables. b. Compute the value of the correlation coefficient. c. State the hypotheses. d. Test the significance of the correlation coefficient at $\alpha=0.05,$ using Table I. e. Give a brief explanation of the type of relationship. Assume all assumptions have been met. An architect wants to determine the relationship between the heights (in feet) of buildings and the number of stories in the buildings. The data for a sample of 10 buildings in Chicago are shown. Explain the relationship (if any). $$ \begin{array}{l|cccccccccc} \text { Stories } x & 64 & 68 & 50 & 48 & 32 & 46 & 58 & 45 & 49 & 40 \\ \hline \text { Height } y & 995 & 844 & 732 & 679 & 648 & 635 & 610 & 600 & 583 & 573 \end{array} $$
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