Solve full in the correct choices

Question 1 State whether the following statements are True or False (2 points each). a) A correlation coefficient of r = 0.912 denotes a just as a strong relationship as a correlation coefficient of r = -0.088. ____________________ b) The value of correlation coefficient will always lie between -1 and +1. _____________________ c) In the case of perfect linear relationships, the observations plotted on a scatter plot will always lie on a perfect straight line. ____________________________ d) The unit of the correlation coefficient is affected by the units of the independent and dependent variables. _________________________ e) The coefficient of determination will never be a negative value. _______________________ Question 2 Choose the most appropriate answer/answers (2 points each). 1. As correlation coefficient gets closer to 0, a) The residuals become smaller b) The residuals become larger c) The residuals are not affected by correlation d) The given information is not enough to make a decision 2. To visualize how two quantitative variables are associated, we can use a) A scatter plot b) A dot plot c) A scatter plot and a dot plot d) None of the above 1 3. Based on the plot above, we can say that a) There is a strong positive relationship between the two variables age and time. b) There is a strong negative relationship between the variables age and time. c) There is an outlier at x = 32. d) There is an outlier at x = 28. 4. To summarize a boxplot, a) Correlation coefficient is used b) Five-number summary is used c) Mean and standard deviation are used d) Inter-quartile range is used 5. Suppose we want to see if there is a relationship between the number of hours studied for the final exam of Stat 218 and the exam score. a) The response variable is hours studied and the explanatory variable is exam score. b) The response variable is exam score and the explanatory variable is hours studied. c) In this scenario, it is difficult to decide between the explanatory and response variable, either of the given variables can be considered as response or explanatory variable. d) Given information is misleading, and additional information is needed to decide between the explanatory and response variables. 2 Question 3 Fill in the blanks with the appropriate answers (2 points each) a) The significance level corresponding to a 99.5% confidence interval is ____________%. b) At a 98.3% confidence interval, we will reject the null hypothesis if p-value is less than ______________ c) The correlation coefficient corresponding to a coefficient of determination of 81% can either be ________________ or _____________. d) In making a decision about a null hypothesis using standardized statistics, we will reject null hypothesis if the value falls ________________ +2 or -2. e) In regression, if the predicted value and the actual value (observed value) are the same, the residual associated with the two values will be _______________. Question 4 Classify the following scenarios as \"independent two sample\