Referring to the following table when needed, answer the questions below:
Table
If we nd that there is a linear correlation between the concentration of carbon dioxide in our atmosphere and the global temperature, does that indicate that changes in the concentration of carbon dioxide cause changes in the global temperature? Choose the correct answer below. 0 A. No. The presence of a linear correlation between two variables does not imply that one of the variables is the cause of the other variable. 0 B. Yes. The presence of a linear correlation between two variables implies that one of the variables is the cause of the other variable. Listed below are numbers of Internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of a = 0.05. Internet Users 79.4 80.5 56.3 67.9 76.6 38.0 Award Winners 5.6 8.8 3.4 1.7 10.5 0.1 Construct a scatterplot. Choose the correct graph below. O A. O B. O c. O D. 127 12 J 127 127 Award Winners Award Winners Award Winners Award Winners 30 90 30 90 30 90 30 90 Internet Users Internet Users Internet Users Internet Users The linear correlation coefficient is r =. (Round to three decimal places as needed.)Determine the null and alternative hypotheses. Ho : P H1 : p (Type integers or decimals. Do not round.) The test statistic is t = (Round to two decimal places as needed.) The P-value is. (Round to three decimal places as needed.) Because the P-value of the linear correlation coefficient is the significance level, there sufficient evidence to support the claim that there is a linear correlation between Internet users and scientific award winners.Which of the following statements about correlation is true? Choose the correct answer below. 0 A. We say that there is a negative correlation between x and y if the x-values increase as the corresponding yvalues increase. 0 B. We say that there is a positive correlation between x and y if there is no distinct pattern in the scatterplot. O C. We say that there is a positive correlation between x and y if the x-values increase as the corresponding y-values increase. 0 D. We say that there is a positive correlation between x and y if the xvalues increase as the corresponding y-values decrease. Find the regression equation, letting the rst variable be the predictor (x) variable. Using the listed lemon/crash data, where lemon imports are in metric tons and the fatality rates are per 100,000 people, nd the best predicted crash fatality rate for a year in which there are 475 metric tons of lemon imports. Is the prediction worthwhile? Lemon Imports 234 263 355 494 519 E CrashFatalityRate 16 15.8 15.5 15.3 15 Find the equation of the regression line. = +( )x (Round the constant three decimal places as needed. Round the coefcient to six decimal places as needed.) The best predicted crash fatality rate for a year in which there are 475 metric tons of lemon imports is fatalities per 100,000 population. (Round to one decimal place as needed.) Is the prediction worthwhile? O A. Since common sense suggests there should not be much of a relationship between the two varia ales, the prediction does not make much sense. 0 B. Since all of the requirements for nding the equation of the regression line are met, the prediction is worthwhile. O G. Since there appears to be an outlier, the prediction is not appropriate. 0 D. Since the sample size is small, the prediction is not appropriate. n When making predictions based on regression lines, which of the following is not listed as a consideration? Choose the correct answer below. 0 A. Use the regression line for predictions only ifthe data go far beyond the scope of the available sample data. 0 B. Use the regression equation for predictions only if the linear correlation coefcient r indicates that there is a linear correlation between the two variables. 0 C. If the regression equation does not appearto be useful for making predictions, the best predicted value of a variable is its point estimate. 0 D. Use the regression equation for predictions only if the graph of the regression line on the scatterplot conrms that the regression line ts the points reasonably well. What is the difference between the following two regression equations? y=b0+b1x Y=Bo+1x Choose the correct answer below. 0 A. The rst equation is for sample data; the second equation is for a population. 0 B. The rst equation is for a population; the second equation is for sample data. Different hote s in a certain area are randomly selected, and their ratings and prices were obtained online. Using technology, with x representing the ratings and y representing price, we nd that the regression equation has a slope of 120 and a yintercept of 353. Complete parts (a) and (b) below. a. What is the equation of the regression line? Select the oorrect choice below and ll in the answer boxes to complete your choice. OA- y: + Q 03- 37: + )2 OC- 3\4/17/2021 Chi-square distribution table Area to the Right of the Critical Value Degrees of Freedom 0.995 0.99 0.975 0.95 0.90 0.10 0.05 0.025 0.01 0.005 0.001 0.004 0.016 2.706 3.841 5.024 6.635 7.879 0.010 0.020 0.051 0.103 0.211 4.605 5.991 7.378 9.210 10.597 0.072 0.115 0.216 0.352 0.584 6.251 7.815 9.348 11.345 12.838 0.207 0.297 0.484 0.711 1.064 7.779 9.488 11.143 13.277 14.860 0.412 0.554 0.831 1.145 1.610 9.236 11.071 12.833 15.086 16.750 0.676 0.872 1.237 1.635 2.204 10.645 12.592 14.449 16.812 18.548 0.989 1.239 1.690 2.167 2.833 12.017 14.067 16.013 18.475 20.278 1.344 1.646 2.180 2.733 3.490 13.362 15.507 17.535 20.090 21.955 1.735 2.088 2.700 3.325 4.168 14.684 16.919 19.023 21.666 23.589 2.156 2.558 3.247 3.940 4.865 15.987 18.307 20.483 23.209 25.188
