Eleven cities are ranked according the their pollution levels and occurrence of pulmonary diseases. Is there any relation between pollution and pulmonary disease ? Comment on the findings : City : A D F G J Pollution : 4 7 9. 1 10 3 6. 8 11 Pulmonary Disease 5 4 7 3 1 11 2 10 6. 9. :

3. You would like to determine if there is a statistical relationship between the amount of caffein in a cup of coffee and their sales at their coffee franchises. The data is included in the set "Coffee by the Cup". Here is information about the variables. Variable Caffeine Cups Sold Measurement Amount of caffeine in one cup Number of cups of the coffee Units Milligrams Cups sold sold at all of the franchises a. Which variable is the explanatory variable and which variable is the response variable? b. Construct a scatterplot of the data. Based upon the scatterplot is there a linear relationship between the amount of caffeine in one cup of the coffee and the number of cups of coffee sold? Justify your reasoning using the scatterplot. c. Run a t-test for correlation using technology. Make sure you include the p-value and the printout. According to the t-test, is there a statistical relationship between the amount of caffeine in a cup of coffee and the number of cups sold? Justify your…

8.6 Cherry Trees:  Timber yield is approximately equal to the volume of a tree, however, this value is difficult to measure without first cutting the tree down. Instead, other variables, such as height and diameter, may be used to predict a tree's volume and yield. Researchers wanting to understand the relationship between these variables for black cherry trees collected data from 31 such trees in the Allegheny National Forest, Pennsylvania. Height is measured in feet, diameter in inches (at 54 inches above ground), and volume in cubic feet. (Hand, 1994)   Estimate Std. Error t value P(>|t|) (Intercept) -57.99 8.64 -6.71 0.00 height 0.34 0.13 2.61 0.01 diameter 4.71 0.26 17.82 0.00

6. Which of these relationships would be better described with a Spearman's rank coefficient than with a Pearson's coefficient? a. The association between income and educational attainment (measured in years of school) b. The association between hours of sleep and score on an exam C. The association between years aged and price of wine d. The association between ice cream sales and crime rates e. The association between number on NY Times Best Seller List and copies of book sold