For the accompanying data set, (a) draw a scatter diagram of the data, (b) by hand, compute the correlation coefficient, and (c) determine whether there is a linear relation between x and y. Click here to view the data set. Click here to view the critical values table. (a) Draw a scatter diagram of the data. Choose the correct graph below. OA OB O C. OD. Q 20- Q 20- 20- Q (b) By hand, compute the correlation coefficient X - X The correlation coefficient is r= ]. (Round to three decimal places as needed.) Data set Critical values for the correlation coefficient (c) Determine whether there is a linear relation between x and y. Critical Values for Correlation Coefficient Because the correlation coefficient is and the absolute value of the correlation coefficient, , is than the critical value for this data set, linear relation exists between x and y 2 6 7 (Round to three decimal places as net 8 19 3 0.997 4 0.950 5 0.878 positive not greater no 6 0.811 Print 7 0.754 negative greater Done a positive 8 0.707 9 0.666 a negative 10 0.632 11 0.602 12 0.576 13 0.553 14 0.532 15 0.514 16 0.497 17 0.482 18 0 19 20 0.444 21 0.433 22 0.423 23 0.413 24 0 . 404 25 0.396 26 0.388 27 0.381 28 0.374 29 30 0.361 Print DoneFor the accompanying data set, (a) draw a scatter diagram of the data, (b) compute the correlation coefficient, and (c) determine whether there is a linear relation between x and y. Click the icon to view the data set. Click the icon to view the critical values table. (a) Draw a scatter diagram of the data. Choose the correct graph below. O A. OB OC. OD. 10 10- O 10 (b) Compute the correlation coefficient. - X - X The correlation coefficient is r= ]. (Round to three decimal places as needed.) Data set Critical values for the correlation coefficient (c) Determine whether there is a linear relation between x and y Because the correlation coefficient is and the absolute value of the correlation coefficient, ], is than the citical value for this data set,, linear relation exists between x and y. Critical Values for Correlation Coefficient (Round to three decimal places as ne y 3 7 2 6 9 3 0.997 4 0.950 positive not greater a negative 5 0.878 6 0.811 negative greater no Print Done 7 0.754 8 0.707 9 0.666 a positive 10 0.632 11 0.602 12 0.576 13 0.553 14 0.532 15 0.514 16 0.497 17 0.482 18 0.468 19 0.456 20 0.444 21 0.433 22 0.423 23 0.413 24 0.404 25 0.396 26 0.388 27 0.381 28 0.374 29 0.367 30 0.361 Print DoneWill the following variables have positive correlation, negative correlation, or no correlation? IQ and annual salary Will these variables have positive correlation, negative correlation, or no correlation? O No correlation O Negative O PositiveThe linear correlation between violent crime rate and percentage of the population that has a cell phone is - 0.918 for years since 1995. Do you believe that increasing the percentage of the population that has a cell phone will decrease the violent crime rate? What might be a lurking variable between percentage of the population with a cell phone and violent crime rate? Will increasing the percentage of the population that has a cell phone decrease the violent crime rate? Choose the best option below. O No O Yes What might be a lurking variable between percentage of the population with a cell phone and violent crime rate? O A. the police O B. the average cell phone's effectiveness as a weapon O C. the economy O D. overall cell phone signal strengthUse the given data to complete parts (a) and (b) below. 2.1 3.9 3.8 1.5 3 3.7 4.7 4.8 (a) Draw a scatter diagram of the data. Choose the correct answer below. O A. OB. OC. OD. 6-7 6- O O 2- of C Compute the linear correlation coefficient. The linear correlation coefficient for the four pieces of data is. (Round to three decimal places as needed.) (b) Draw a scatter diagram of the data with the additional data point (10.4,9.4). Choose the correct answer below. O A. B. O C. OD. O 4- C Compute the linear correlation coefficient with the additional data point. The linear correlation coefficient for the five pieces of data is (Round to three decimal places as needed.) Comment on the effect the additional data point has on the linear correlation coefficient. O A. The additional data point strengthens the appearance of a linear association between the data points. O B. The additional data point does not affect the linear correlation coefficient. O C. The additional data point weakens the appearance of a linear association between the data points. Explain why correlations should always be reported with scatter diagrams. O A. The scatter diagram is needed to determine if the correlation is positive or negative. O B. The scatter diagram can be used to distinguish between association and causation. O C. The scatter diagram is needed to see if the correlation coefficient is being affected by the presence of outliers.If the linear correlation between two variables is negative, what can be said about the slope of the regression line? Choose the correct answer below. O A. Positive O B. More information is needed O C. Negative