PART A - please keep the answer brief.

Consider the following correlation coefficient values below. / = 1.8 r = 0.8 / = 0.01 /=-0.8 1= -2.8 Select the appropriate correlation coefficient for each of the scenarios. (Hint: As x increases, y. ..) (i) x = number of credit hours taken by a student in a semester; y = number of hours studying for that semester (ii) x = amount of insulation in a home; y = amount of utility (gas & electric) bill (iii) x = yearly salary; y = federal tax paid (iv) x = amount of use of fluoride toothpaste by a person; y = number of cavities for a person (v) x = adult ages; y = arm span (vi) Were there any r values that you did not use? Why?An actuary is a business professional who deals with the measurement and management of risk and uncertainty. An actuary for CHAT Insurance Company was tasked with setting car insurance rates for young drivers-those age 16-21. Suspecting a linear correlation between driver age and number of accidents, the actuary retrieved data from her state's department of motor vehicles (DMV) regarding the number of accidents caused by drivers of the aforementioned ages from the previous calendar year. The following are the data, separated by age, retrieved from the state DMV. Age 16 17 18 19 20 21 Number of Automobile Accidents Caused Last Year 641 586 590 460 499 590 (a) Which of the following best describes the direction of the correlation if the correlation coefficient is / = -0.512 for the data set? O There is a positive correlation. O There is a negative correlation. O There is a correlation, but it is neither positive nor negative. O There is no correlation. (b) Which of the following best describes the strength of the correlation if the correlation coefficient is r = -0.512 for the data set? O strong linear relationship moderate linear relationship O weak linear relationship O very weak linear relationship O no linear relationship (c) As x increases, what does the value of r imply about the effect on y? O Based on the given value of r, y should tend to decrease as x increases. Based on the given value of r, y should tend to remain constant as x increases. Based on the given value of r, we cannot draw any conclusions for the behavior of y as x increases. O Based on the given value of r, y should tend to increase as x increases.Describe the relationship between two variables when the correlation coefficient / is one of the following. (a) near -1 O weak or no linear correlation O strong negative linear correlation O weak positive linear correlation O strong positive linear correlation O weak negative linear correlation (b) near 0 O strong negative linear correlation O weak positive linear correlation O weak negative linear correlation O weak or no linear correlation O strong positive linear correlation (c) near 1 O strong negative linear correlation O strong positive linear correlation O weak negative linear correlation O weak positive linear correlation O weak or no linear correlationLook at the following diagrams. which diagrams 5how high linear correlation, moderate or low linear correlation, or no linear correlation? {an {M {o