4. A research center is interested in investigating the height and age of children who are between 5 to 9 years old. In order to do this, a sample of 15 children is selected and the data are given below. Age (in years] Height (inches) 47.3 48.8 41.3 a. Develop a scatter chart with age as the independent variable. What does the scatter chart indicate about the relationship between the height and age of children? b. Use the data to develop an estimated regression equation that could be used to estimate the height based on the age. What is the estimated regression model? c. How much of the variation in the sample values of height does the model estimated in part (b) explain? d. What is the predicted value of Y (height in inches) for a 6-year old? Develop 95% condence interval for the predicted value. e. Interpretation of Standard Error for this problem. f. State the hypothesis for the Signicance F and test the hypothesis. g. State the hypothesis for the signicance of the independent variable and test the hypothesis