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- 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…The following statement contains an error. Choose the statement that best explains the error. "The correlation between shoe size and height is 0.87 inches" A. Correlation requires that both of the variables be categorical B. When stating the correlation coefficient, one must state whether it is a positive or negative relationship C. This statement does not tell us whether or not shoe size is correlated with height D. When reporting correlation, one does not report units because correlation has no units E. There is no error in this statement8. Trace metals in drinking water affect the flavor of the water, and un-usually high concentration can pose a health hazard. Table 1 shows trace-metal concentrations (zinc, in mg/L) for both surface water and bottom water at six different river locations. Our aim is to see if surface water concentration (x) is predictive of bottom water concentration (y). a. State the independent and dependent variable? b. State the Ho y HA c. Draw a scatter diagram to show a possible association between the concentrations and check to see if a linear model is justified. d. Calculate the correlation coefficient and provide your interpretation. e. Find the regression equation and pro your interpretation. Table 1 1123456 Location Bottom 0.430 0.266 0.567 0.531 0.707 0.716 Surface 0.415 0.238 0.390 0.410 0.605 0.609 I
- 8.Identify each of the following as either a parameter or a statistic, and give the correct notation. Proportion of students at your university that smoke, based on data from your class. Is it a parameter or statistic? What is the correct notation of the parameter or statistic? Average commute time for employees at a small company, based on interviews with all employees. Is it a parameter or statistic? What is the correct notation of the parameter or statistic?OA. The scatterplot indicates there is a negative, strong, linear relationship between Median Salary and Annual Sales. OB. The scatterplot indicates there is a negative, weak, linear relationship between Median Salary and Annual Sales. OC. The scatterplot indicates there is a positive, strong, linear relationship between Median Salary and Annual Sales. OD. The scatterplot indicates there is a positive, weak, linear relationship between Median Salary and Annual Sales. OE. The scatterplot indicates there is no relationship between Median Salary and Annual Sales.
- 2. In a correlational study, how do you decide which variable is X and which is Y?Suppose that two variables, X and Y, are negatively associated. Does this mean that above-average values of X will always be associated with below-average values of Y? Explain. Choose the correct answer below. A. No, because there will always be at least one point that does not fit the trend. B. Yes, because if one or more above-average values of X are associated with above-average values of Y, the variables cannot be negatively associated. C. No, because association does not mean that every point fits the trend. The negative association only means that above-average values of X are generally associated with below-average values of Y. O D. No, because when two variables, X and Y, are negatively associated, above-average values of X are associated with above-average values of Y.A statistic teacher recorded the Math and Science test scores of twelve students from one section. Using 0.05 as the level of significance, is there a significant relationship between the test scores in Mathematics and Science? Student number Math Scores (X) Science Scores (Y) 1 18 20 2 16 18 3 11 12 4 15 17 5 15 15 6 11 14 7 11 12 8 13 14 9 8 10 10 9 13 11 13 12 12 7 9
- 2. An aerobic exercise instructor submitted to the shipping company the data given in the following table, which shows the recommended maximum exercion heart rate for individuals of the given ages. See table below. If the Chief engineer is 62 years old, predict. naximum exercise heart rate. Age (x years) Maximum heart rate (y beats per minute) 20 40 60 170 153 136 A. What is the coefficient of correlation of the age and the maximum rate of the chief engineer? a. -100 b. 100 C. -0.99 d. 0.65A statistic teacher recorded the Math and Science test scores of twelve students from one section. Using 0.05 as the level of significance, is there a significant relationship between the test scores in Mathematics and Science? Student number Math Scores (X) Science Scores (Y) 1 18 20 2 16 18 3 11 12 4 15 17 5 15 15 6 11 14 7 11 12 8 13 14 9 8 10 10 9 13 11 13 12 12 7 9 What does the value of r means? a) moderate positive correlation b) perfect positive correlation c) low positive correlation d) very high positive correlation e) moderate negative correlationWhat is not correct about corrleation? a. Not a cause and effect relationship b. the correlation coefficient values lie between -1 and +1 c. they can indicate what extent variables are associated with each other d. is a measure of non linear relationshiop among two variables