Following data refers to the years of service (variable X) put in by seven specialized workers in a factory and their monthly incomes (variable Y). X variable values with corresponding Y variable values can be listed as,, 11 years of service with income 700, 7 years of service with income 500, 9 years of service with income 300, 5 years of service with income 200, 8 years of service with income 600, 6 years of service with income 400, 10 years of service with income 800. Find the correlation coefiicient.

If the average number of yards per game of all the HS wide receivers catches with 50 attempts in the 2010 season averaged 49 yards per game. A sample of 20 wide receivers from 2010 averaged 46.54 yards per game. Is 49 yards a parameter or statistic?  and provide correct statistical notation Is 46.54 years a parameter or statistic? and provide correct statistical notation

To the Internal Revenue Service (IRS), the reasonableness of total itemized deductions depends on the taxpayer's adjusted gross income. Large deductions, which include charity and medical deductions, are more reasonable for taxpayers with larg given level of income, the chances of an IRS audit are increased. Data (in thousands of dollars) on adjusted gross income and the average or reasonable amount of itemized deductions follow. Adjusted Gross Income Itemized Deductions ($1,000s) 22 ($1,000) 9.6 27 9.6 32 10.1 48 11.1 65 13.5 85 120 15.7 25.5 (a) Develop a scatter diagram for these data with adjusted gross income as the independent variable. 30 25 20 15 10 5 30 25 20 15 10 5+ 30 25- 20- 15- 10- .. 5- 0 20 40 60 80 100 120 140 Adjusted Gross Income ($1,000s) 0 20 40 60 80 100 120 140 0 Adjusted Gross Income ($1,000s) 20 40 60 80 100 120 140 Adjusted Gross Income ($1,000s) 30 25 20 15 10 5- 0 20 40 60 80 100 Adjusted Gross Income ($1,000s) 120 140 G (b) Use the least squares method to…

Atlantic hurricanes form off the western coast of Africa. As warm moist air rises, it begins to rotate around a low- pressure system. This rotation is sustained by warm ocean temperatures and a central low pressure. Once a sustained wind speed of 74 miles per hour is reached, the storm is considered a hurricane. As man-made climate change continues to increase the temperature of the Earth's oceans, it is expected that the strength of hurricanes will Typically, a lower central pressure within a hurricane's eye is associated with a higher wind speed. Here, statistical software (R/RStudio) will be used to explore this relationship by applying linear regression methods. Using a database of landfalling hurricanes in the United States, a linear regression will be used to correlate the central pressure of each hurricane to its maximum sustained wind speed. increase. Regression Plot y=942.196-0.884*x R^2=0.768 ----- ----------- -. •... •. 980 1000 940 960 900 920 Independent Variable (x)…