A study was done of 6 patients admitted to a hospital.   Their ages (x) and systolic blood pressure (y) was recorded. Age (x) Systolic blood pressure (y) 43 123 48 125 56 135 61 143 67 145 70 152 D.  Compute the residual for x = 48, using the rounded slope and y intercept.   Report answer to 3 decimal places.   E.   The data value of x = 56 has a residual of -0.575     If you were to make a scatter plot, which data point would be closer to the regression line?   (56, 135) (48,125) (43,123) They are all the same distance from the regression line.   F.  Determine the value of se, reporting to 3 decimal places.

Develop a scatterplot and explore the correlation between customer age and net sales by each type of customer (regular/promotion).  Use the horizontal axis for the customer age to graph.  Find the linear regression line that models the data by each type of customer.  Round the rate of changes (slopes) to two decimal places and interpret them in terms of the relation between the change in age and the change in net sales.  What can you conclude? Hint: Rate of Change = Vertical Change / Horizontal Change = Change in y  / Change in x

Listed below are systolic blood pressure measurements​ (in mm​ Hg) obtained from the same woman. Find the regression​ equation, letting the right arm blood pressure be the predictor​ (x) variable. Find the best predicted systolic blood pressure in the left arm given that the systolic blood pressure in the right arm is 90 mm Hg. Use a significance level of 0.05.   Right Arm 101 100 92 77 77   Left Arm 174 169 145 146 146

Ocean currents are important in studies of climate change, as well as ecology studies of dispersal of plankton. Drift bottles are used to study ocean currents in the Pacific near Hawaii, the Solomon Islands, New Guinea, and other islands. Let x represent the number of days to recovery of a drift bottle after release and y represent the distance from point of release to point of recovery in km/100. The following data are representative of one study using drift bottles to study ocean currents. x days 75 79 35 91 203 y km/100 14.2 19.1 5.8 11.2 35.4 (a) Verify that  Σx = 483,   Σy = 85.7,   Σx2 = 62,581,   Σy2 = 1978.69,   Σxy = 10982.3,  and  r ≈ 0.94895. Σx   Σy   Σx2   Σy2   Σxy   r   (b) Use a 1% level of significance to test the claim  ρ > 0.  (Use 2 decimal places.) t   critical t     (c) Verify that  Se ≈ 4.1118,   a ≈ 0.7378,  and  b ≈ 0.1698. Se   a   b