A survey shows the relationship between the # of months since a workout equipment was purchased and the length of time the equipment was used last week: Month Hours 5 6 7 2 6 4 10 2 7 7 2 8 8 3 5 6 1: Find the regression equation for this data set begin inline style sum for space of x equals end style begin inline style sum for space of y equals end style begin inline style sum for space of x squared equals end style begin inline style sum for space of y squared equals end style begin inline style sum for space of x y equals end style ________________________________________________ 2: Use the above numerical values to find the equation Y apostrophe equals a plus b X, where b equals (4 decimal places) a equals (4 decimal places) ________________________________________________ 3: Plot the data in a scatter diagram, and then plot the regression line on the scatter diagram using at least two points. You will need to upload the plot at the end of the test. ________________________________________________ 4: Predict the hours after 12 months since the day of the purchase. hours (4 decimal places) bonus mark: above answer can also be rewrite as hours minutes (round minutes to an integer) ________________________________________________ 5. The standard error of the estimate is (4 decimal places) ________________________________________________ 6. Find the coefficient of correlation. r equals (4 decimal places) The number of months after purchase and the number of hours the equipment was used last week have (strong / moderate / weak) and (positive / negative) correlation. So that when the number of months increase, the number of hours (increase / decrease) ________________________________________________ 7. Find the coefficient of determination. r squared equals comment on your answer on paper. You will need to upload details on your work (calculation, plot, comment) in a single file at the end of the test