Five children aged 2, 3, 5, 7 and 8 years old weigh 14, 20, 32, 42 and 44 kilograms respectively. Find the equation of the regression line of age on weight, showing your work for calculations of a and...

1. Five children aged 2, 3, 5, 7 and 8 years old weigh 14, 20, 32, 42 and 44 kilograms respectively. Find the equation of the regression line of age on weight, showing your work for calculations of a and b.

Fill in the rest of this table so you can test whether the calculated slope is significantly different from zero.

What is the critical value for this test? ______________

Write a complete finding with all statistical details. Be sure to include expressions of direction and magnitude in your plain English sentence. In your statistical parentheses, include the equation of the regression line and the predictive power of the relationship (r
²).