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- Let x be the average number of employees in a group health insurance plan, and let y be the average administrative cost as a percentage of claims. x 3 7 15 32 75 y 40 35 30 26 18 (a) Make a scatter diagram of the data and visualize the line you think best fits the data. Flash Player version 10 or higher is required for this question. You can get Flash Player free from Adobe's website. (b) Would you say the correlation is low, moderate, or strong? positive or negative? strong and negative moderate and negative strong and positive low and negative low and positive moderate and positive (c) Use a calculator to verify that Σx = 132, Σx2 = 6932, Σy = 149, Σy2 = 4725, and Σxy = 2997. Compute r. (Round your answer to three decimal places.)r = As x increases, does the value of r imply that y should tend to increase or decrease? Explain. Given our value of r, we cannot draw any conclusions for the behavior of y as x increases. Given our value of r, y should tend to…Government agencies keep data about the income distribution of the population. The Watson family and Baker family live in a county with 9000 families. The Watson family's Income is at the 93rd percentile. The Baker family's income is at the 44th percentile. (a) Which of the following must be true about the Watson family's Income? About 93% of the families in their county earn less than the Watson family. O The Watson family earns about 93% of the highest income in their county. O The Watson family's income is in the bottom half of incomes in their county. O The Watson family earns $93,000. (b) Which of the following must be true about the Watson family's and the Baker family's incomes? Both the Watson family and the Baker family earn more than the median income. Both the Watson family and the Baker family earn less than the median O income. O The Watson family earns more than the Baker family. O The Baker family earns more than the Watson family. Explanation Check hp X Ⓒ2022 McGraw…Only data that shows positive trends can be graphed in a scatter diagram. True O False
- Pathway: Business Below is a chart displaying the income of Starbucks from 2003-2017. Use the chart to answer the questions below Starbucks Revenue in Billions 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 Find the range, mean, median, and mode for the revenue. 4.1 5.3 6.4 7.8 9.4 10.4 9.8 10.7 11.7 13.3 14.9 16.45 19.16 21.32 22.39MATH 1324 – Introduction to Statistics Practice Case for Correlation & Regression Roadside Assistance Case: In a town close to the Canadian border in North Dakota, a local 911 dispatch office is exploring the relationship between the high temperature (degrees Fahrenheit) and the number of stranded motorist calls that come into the 911 switchboard. Below are data collected over the coldest part of winter. The data contains the average high temperature for a week (X) and the total number of stranded motorist calls coming into the 911 switchboard during the week (Y). X y o o 15 12 0 22 24 -10 30 9 36 16 31 7 24 6 Carry out a correlation and regression analysis on this paired data by completing the following: Create a scatterplot for the data Given that the sample correlation coefficient is -.933 and the denominator of the test statistic for the slope is .090531, o Find the formula for the least squares regression line that best captures the trend seen in the scatterplot o Predict the…The table pertains to scheduled commercial carriers. Fatalities data include those on the ground except for the September 11, 2001, terrorist attacks. Use this information given in the table. For fatalities the mean an = 66.7 the median = 14.5 and the mode = 2 2. The year 2001 was clearly an anomaly. If the data for that year is reduced by 239 fatalities, which of the three measures change and what are their new values for each of the following? please help:(
- A negative correlation indicates that as the values of one variable increase, the values of a second variable decrease. O True O FalseStatistics teacher realize that his students keep using cell phones during the class. Then he did some research and found out that people use cell phones for 7.2 hours per day on average, and usage time variability around that average is 2.0449. Then he decides to give an assignment of reading books as an alternative of cell phone usage in exchange of 50 extra credit to their statistics exam. After the exam, he collected the data of cell phone usage time from his 127 students and calculated the average cell phone usagetime drops to 6.8 hours per day. a) Under the assumption that probability of uncontrolled factors leading you the wrong statistical decision is five percent, conduct the statistical analysis to decide wheter decrease in the cell phone usage time is real or it happens just because of the random chance b)and interpret the resultsSolve question (b) please
