1) Given the x and y data in the table below, complete the table. 1 y 2 3 4 4 6 7 6 5 x² y ху Calculate the correlation coefficient r using the formula below. Write out the formula with the appropriate values in place. Round final answer to 3 decimal places. n(Σxy)-(x)(y) √nx) (x) √n(y²)-(y)² Use Table A-6 in the back of the textbook (Critical Values of the Pearson Correlation Coefficient) to answer the following questions: Are the data correlated if a = 0.05? What is the critical r value for this case? 2) Even if they are not, assume that the data in problem 1 are correlated and determine the slope, b₁, and intercept, bo, of the regression line ŷ= b + b₁x, corresponding to the data using the given formulas. Write out the formulas with the appropriate numbers in place. Round to 3 decimal places for bo and b₁. b₁ = n(Σxy)-(Ex)(y) n(Σx²)-(x)² b₁ =y-b₁x Are the data correlated if a = 0.01 ? What is the critical r value for this case? With the values you just found, write out the expression for the regression line ŷ = b + b₁x: 3) Given that the data in problem 1 are correlated. What do you predict y will be if x = 3? 4) On the given grid, make a careful sketch of the graph of the data in problem 1 and include an accurate sketch of the regression line you determined in problem 2. If the data in problem 1 are not correlated, what do you predict y will be if x=3? y​