Part (D) Calculate the least squares line. Put the equation in the form of: y =a+bx, (Round your answers to three decimal places.)Part (E) Find the correlation coefficient r. (Round your answer to four decimal places.)r= Below are the average heights for American boys in 1990.| Age (years) | Height (cm) ||-------------|-------------|| Birth | 50.8 || 2 | 83.8 || 3 | 91.4 || 5 | 106.6 || 7 | 119.3 || 10 | 137.1 || 14 | 157.5 |Explanation:This table shows the average height data for American boys at various age milestones: from birth to 14 years old. The height measurements are in centimeters. As can be seen, there is a gradual increase in height as age progresses, demonstrating typical growth patterns during childhood and early adolescence.

Part (D) The regression analysis is conducted using EXCEL. The software procedure is given below: Enter the data. Select Data > Data Analysis >Regression> OK. Enter Input Y Range as height. Enter Input X Range as Age. Mark Labels. Click OK. The output using EXCEL is as follows: From the output, the intercept is 65.088, and slope is 7.095. The least squares line is, y=a+bxHeight=65.088+7.095 Age Thus, the least squares line is Height=65.088+7.095 Age.Part (E) The correlation value is obtained using EXCEL. The software procedure is given below: Enter the data. Select Data > Data Analysis >Correlation> OK. Enter Input Range as A1:B8. Mark Labels in First Row. Click OK. The output using EXCEL is as follows: From the output, the correlation coefficient is 0.9761. Thus, the correlation coefficient r is 0.9761.