Please help me figure out these problems.

Sixteen student volunteers at Ohio State University drank a randomly assigned number of cans of beer. Thirty minutes later, a police officer measured their blood alcohol content (BAC) in grams of alcohol per deciliter of blood and the results are in the scatterplot below. Select all characteristics that apply to the variables (number of cans of beer consumed and the BAC). 0.15 2 0.10 . m s O . 0.05 . - - . . 2 4 5 8 Cans of beer 7 the variables are independent 7 there is a negative association 7 there is a positive association 7 the variables are dependent 7 there is no relationship between these variables The table below show data that has been collected from different fields from various farms in a certain valley. The table contains the grams of Raspberries tested and the amount of their Vitamin C content in mg. Find a linear model that express Vitamin C content as a function of the weight of the Raspberries. Round your answers to 3 decimal places Vitamin C Raspberry Type grams content in mg Farm A - North Field 65 16.4 Farm B - North Field 75 20.5 Farm A - South Field 85 25 Farm B - South Field 95 29.5 Farm C -Small Field 105 34.3 Farm D 115 39.5 Farm E 125 42.8 y = ac +An unknown metal has been found and the following experimental results have been tabulated in the table below. The table contains the grams of the unknown metal and the volume in milliliters of water displacement. Find a linear model that express volume as a function of the mass. Round your answers to 3 decimal places @ .5! .3 Volume = Sm + C] where x is the grams of the unknown metal A group of researchers are working to determine the historic sea levels of the body of water. They are attempting to do this by taking samples around the body of water and in a nearby cave and after analyzing sediment cores from around the body of water to those in the cave. The Climatologist that is working in the cave is trying to determine the age and growth rate of stalactites, to get a more accurate picture of the age of the existing stalactites. The following table contains the estimated age (to the nearest thousand) of the sample and the length of the sample in micrometers. Find a linear model that express length as a function of the age. Round your answers to 2 decimal places Age (nearest thousand) _l 7193 _H 8910 _EI 9173 EE 9455 _HI 10625 Length = [:]x + [j where x is the age in thousands of years Interpreting a Linear Equation At 12:00 P.M. the volume of water in a tank started changing steadily over time. The volume V measured in gallons, t minutes after the water volume started to change is given by the equation V = 43000 - 21.5t. The equation tells us that the volume of water in the tank was initially gallons, and that the volume is decreasing by gallons per minuteInterpreting a Linear Equation Jasmine invested some money in an account. The balance in the account is given by the equation B = 6700 + 145t where t is the number of years since the initial investment was made, and B is the account balance. The equation tells us that Jasmine started with $ in the account, and that the balance in the account is increasing at a rate of dollars per yearMany people believe that there is a negative relationship between the amount of time students play video games each week and their GPA. Elm-ml.- mm 1. Find the the correlation coefficient. Round your final answer to four decimal places. 2. Write the regression equation below. Round all numbers to four decimal places. 3;: 3. Using the data shown above, predict a student's GPA when the student plays video games for 15 hours each week. Round your final answer to two decimal places. :] 4. What percentage of variation in GPAs can be explained by the number of hours students' play video games each week? Round your final answer to two decimal places. Eve It is believed that standardized test scores, such as SAT, is a good predictor of first-year college students' GPA. II-IIEI-Mlll 1. Find the the correlation coefficient. Round your final answer to four decimal places. 2. Write the regression equation below. Round all numbers to four decimal places. 3. Using the data shown above, predict a student's first-year GPA when the student scores a 1275 on the SAT. Round your final answer to two decimal places. :1 4. What percentage of variation in GPAs can be explained by students' SAT scores? Round your final answer to two decimal places. :93 it\") Linear Regression The table below shows the value, V, of an investment (in dollars) 11 years after 1992. n-l_-_-- Determine the linear regression equation that models the set of data above, and use this equation to answer the questions below. Round to the nearest hundredth as needed. Based on this regression model, the value of this investment was 5:] in the year 1992. Based on the regression model, the value of this investment is Select an answer 9 at a rate of 5:] per year. An unknown metal has been found and the following experimental results have been tabulated in the table below. The table contains the grams of the unknown metal and the volume in milliliters of water displacement. Find a linear model that expresses mass as a function of the volume. m Volume in ml .5! .3 m A) Write the linear regression equation for the data in the chart. Volume 2 [:]a: + [:] where x is the grams of the unknown metal. Round your answers to 3 decimal places B) if the mass of an unknown metal is 11, using your un-rounded regression equation find its predicted volume. Round your answer to 1 decimal place. C] mL You run a regression analysis on data with two variables and you obtain the regression equation y = 1.5039: 39.539 with a correlation coefficient of r = 0.121. You want to predict the value for the response variable for a value of 80 as the explanatory variable. What is the predicted response value? (Report answer accurate to one decimal place.) Jeff is investigating how long his phone's battery lasts (in hours) for various brightness levels (on a scale of 0- 100). His data is displayed in the table and graph below. Brightness Level (x) 30 41 65 76 81 90 90 99 Hours (y) 7.3 4.9 3.9 4.6 4.2 2.9 2.5 2 10 9 Hours 10 20 30 40 50 60 70 80 90 100 110 Brightness Level What is the residual for the point (76,4.6)? Round to 4 decimal places. hours