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Use the following information for all questions. The U.S. Census Bureau reported the following unemployment rates (y) associated with the given number of years of
Use the following information for all questions. The U.S. Census Bureau reported the following unemployment rates (y) associated with the given number of years of education (x). , Unemployment Years of Education Rate 55 Question 1 3 pts Which of the following represents the scatterplot for this data set? Scatter Plot of X and Y Scatter Plot of X and Y 17.35 15 25 20 37 18.37 16 37 8 9 25 Years of 34.37 $ 35 12 37 Unemployment Rate Years of Eduction A. B. Scatter Plot of X and Y Scatter Plot of X and Y 10 93 nt Rate Unem 4 29 835 735 83 2135 23Vows of Eduction 3.35 Unemployment Rate C. D. O d Ob O a O cQuestion 2 2 pts Describe the relationship between years of education and the unemployment rate. O positive trend no apparent trend O negative trend Question 3 2 pts Find the value of the linear correlation coefficient, r. Round to three decimal places. Or =- 0.235 Or = 0.682 Or = -0.759 Or =-0.826 Or = 0.941Question 4 2 pts Which of the following is the correct null and alternative hypothesis for the test to determine if there is significant linear correlation between years of education and the unemployment rate? O Ho: r = 0 H1:1 0 O Ho: r = 0 H1: r > 0 O Ho: p = 0 H1: p * 0 O Ho: p = 0 H1: p > 0Question 5 Find the critical value for the hypothesis test. Assume a 0.05 level of significance. O CV = 0.707 O CV = 0.811 O CV = 1.645 O CV = 0.754 O CV = 1.96 Question 6 What is the initial conclusion for the hypothesis test? O Reject Ho O Do not reject HoQuestion 7 State the conclusion of the hypothesis test in a sentence in context for the problem. Question 8 4 pts Which of the following is the equation of the regression line? Round the slope and the y=intercept to two decimal places. a. y=-1.24+26.19x b. y = 28.3+1.75x c. y =17.85-1.37x d. y =26.19-1.24x O a O c O d Ob\fQuestion 9 4 pts 1) Interpret the slope of the regression line in a sentence. Be sure to interpret in context for the problem. (2 pts) 2) Interpret the y-intercept of the regression line in a sentence or explain why the value is not practical. Be sure to refer to the context of the problem. (2 pts) Question 10 3 pts Predict the unemployment rate for 11 years of education. Round the final answer to one decimal place and give the final answer in a full sentence.Question 11 3 pts Find the predicted unemployment rate for 8 years of education. Give the response in a full sentence. Question 12 2 pts Was the predicted value an overestimate or an underestimate or was it exactly equal to the observed value? 0 Underestimate O Overestimate O Exactly Equal Question 13 3 pts Find the coefficient of determination, r2, rounded to one decimal place in percentage form, and interpret the value in context of the
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