0 Question 1 v Here is a scatter plot for a set of bivariate data. What would you estimate the correlation coefficient to be? -0.9 -0.6 0 0.6 0.9 O O O O O 0 Question 4 v ItI) 11905 m -29 \" sitezforeign O 6028 O 4261 O 19549 021316 0 Question 17 v The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. Inn-m\" mm a: = thousands of automatic weapons 3; = murders per 100,000 residents This data can be modeled by the equation 3; = 0.873: + 3.97. Use this equation to answer the following; Special Note: I suggest you verify this equation by performing linear regression on your calculator. Use the equation with the values rounded to two decimal places to make your predictions. A) How many murders per 100,000 residents can be expected in a state with 2 thousand automatic weapons? Answer = Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 1 thousand automatic weapons? Answer = Round to 3 decimal places. 0 Question 18 v Linear Regression Use linear regression to find the equation for the linear function that best fits this data. Round both numbers to two decimal places. Write your final answer in a form of an equation y : ma: + b [III-\"Inn \"HI-M 0 Question 19 v Linear Regression Application, Interpolation and Extrapolation Use the data and story to answer the following questions The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. m\": lam-\"lull a: = thousands of automatic weapons y = murders per 100,000 residents Use your calculator to determine the equation of the regression line. (Round to 2 decimal places) Determine the regression equation in y = ax + b form and write it below. A) How many murders per 100,000 residents can be expected in a state with 2.8 thousand automatic weapons? Answer = Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 5.7 thousand automatic weapons? Answer = Round to 3 decimal places. . Question 23 You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies: Ho : PA = 0.5; PB = 0.1; pc = 0.3; PD = 0.1 Complete the table. Report all answers accurate to three decimal places. Observed Category Expected Frequency Frequency A 58 B 6 C 38 D 17 What is the chi-square test-statistic for this data? (2 decimal places) X = What is the P-Value? (3 decimal places) P-Value = For significance level alpha 0.05, What would be the conclusion of this hypothesis test? O Fail to reject the Null Hypothesis O Reject the Null Hypothesis0 Question 24 v You are conducting a multinomial hypothesis test (a = 0.05) for the claim that all 5 categories are equally likel to be selected. Com ulete the table. Observed Expected Report all answers accurate to three decimal places. But retain unrounded numbers for future calculations. What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places, and remember to use the unrounded Pearson residuals in your calculations.) X2: What are the degrees of freedom for this test? d.f.= What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... 0 less than (or equal to) a O greater than a