(e) Find the value of the coefficient of determination r2. what percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for 2 to four decimal plac Round your answers for the percentages to two decimal place.) explained unexplained (f) Considering the values of r and r2, does it make sense to use the least-squares line for prediction? Explain your answer. O The correlation between the variables is so low that it makes sense to use the least-squares line for prediction. O The correlation between the variables is so high that it makes sense to use the least-squares line for prediction. O The correlation between the variables is so high that it does not make sense to use the least-squares line for prediction. O The correlation between the variables is so low that it does not make sense to use the least-squares line for prediction.

Please do it fast.

Recently there has been a rise in fatal accidents caused by “distracted driving.” The United States National Highway Traffic Safety Administration (NHSTA) defines a distraction as anything that diverts attention from driving. The following model estimates the trend in distracted driving accidents over time based on data from the NHSTA:D = 0.015t - 29.97 In this model, D is the decimal to be turned into a percentage of all fatal accidents caused by distracted driving, and t is any calendar year between 2000 and 2020. Use the model to estimate the rate for 2005 and 2020. Note: this means to plug n 2005 for t and simplify and then turn your answer into a percent.  Then plug in 2020 for t and simplify and then turn your answer into a percent.

Two variables have a coefficient of determination of 0.8. Explain the significance of this value.

please answer the third and fourth part

Does prison really deter violent crime? Let x represent percent change in the rate of violent crime and y represent percent change in the rate of imprisonment in the general U.S. population. For 7 recent years, the following data have been obtained. x 6.1 5.6 4.0 5.2 6.2 6.5 11.1 y −1.8 −4.0 −7.2 −4.0 3.6 −0.1 −4.4   Complete parts (a) through (e), given Σx = 44.7,  Σy = −17.9,  Σx2 = 315.51, Σy2 = 119.41,  Σxy = −110.15,  and r ≈ 0.0883.   (a) Draw a scatter diagram displaying the data.   (b) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.) Σx =   Σy =   Σx2 =   Σy2 =   Σxy =   r =         (c) Find x, and y. Then find the equation of the least-squares line  = a + bx. (Round your answer to four decimal places.) x =  y =    =  +  x   (e) Find the value of the coefficient of determination r2. What percentage of the variation in y can be…

You Got Gas have developed a new type of fuel additive that supposedly increases car speed. Before they put it out on the market, however, they need to test if it really is a difference compared to standard fuel. So, they took 6 vehicles and calculated the time it takes to for them to drive 1 mile going as fast as they can. They received the following data: Car ID# Course time (standard fuel in minutes) Course time (w/ additive in minutes) 1 35 27 2 40 35 3 25 27 4 40 39 5 95 94 6 32 18 6. What is the null and research hypothesis for this study? 7. What type of statistical test should we use to compare means (z-test, independent t-test, dependent t-test, or ANOVA)? Why? 8. What are the degrees of freedom? What are the critical values for that statistical test with this data at α = 0.05? α = 0.01? 9. Comparing the groups, is there a significant difference at α = 0.05 in lap time between eating the name bran and when they ate Dog Go?  10. How would the researcher…

Does prison really deter violent crime? Let x represent percent change in the rate of violent crime and y represent percent change in the rate of imprisonment in the general U.S. population. For 7 recent years, the following data have been obtained. x 6.5 5.8 4.3 5.2 6.2 6.5 11.1 y −1.3 −4.4 −7.8 −4.0 3.6 −0.1 −4.4   Find the value of the coefficient of determination r2. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r2 to four decimal places. Round your answers for the percentages to two decimal place.) r2 =   explained      % unexplained      %   Considering the values of r and r2, does it make sense to use the least-squares line for prediction? Explain your answer. A) The correlation between the variables is so low that it makes sense to use the least-squares line for prediction. B) The correlation between the variables is so…