1. For the following data: X Y 1 2 4 7 3 5 2 1 5 14 3 7 a. Find the regression equation for predicting Y from the X values. b. Use the regression equation to find a predicted Y for each X. c. Find the difference between the actual Y value and the predicted Y value for each individual, square the differences and add the squared values to obtain SSresidual. d. calculate the standard error of the estimate 2. For the following data: X 8 7 6 2 9 3 Y 2 4 9 3 5 5 a. Find the regression equation for predicting Y from the X values. b. Use the regression equation to find a predicted Y for each X. c. Find the difference between the actual Y value and the predicted Y value for each individual, square the differences and add the squared values to obtain SSresidual. d. calculate the standard error of the estimate 3. For decades researchers have tried to identify some behavior of human infants in the first year of life that would predict later IQ. For the most part, this has been unsuccessful even standardized tests of infant development do not predict very accurately. More recently, however, assessments of the infant's ability to study a standard stimulus and then to recognize that stimulus as being familiar when it is presented again have been shown to predict later IQ, at least to a modest degree. Below are the recognition memory scores during infancy and the IQs measured at 6 years of age for a small sample of subjects.. a. Determine the regression of IQ on recognition memory, and calculate the standard error of estimate. b. What would be the predicted IQ for Louise, who has a recognition score of 7? c. Between what values can we expect the IQ to be for someone with a recognition score like Louise's (X=7)? Subject Recognition Memory Score IQ A 4 103 B 10 111 C 12 106 D 8 118 E 5 101 F 5 92 G 7 100 H 9 113 I 6 110 4. For the data below: X Y 5 10 3 6 6 7 4 3 2 4 a. Find the regression equation for predicting Y from the X values. b. Use the regression equation to find a predicted Y for each X. c. Find the difference between the actual Y value and the predicted Y value for each individual, square the differences and add the squared values to obtain SSresidual. d. calculate the standard error of the estimate \f\f\f