The questions are in the photo below:

I would like all of the questions a,b,c,d solved and checked.

Say we want a linear model that will help describe the relationship between the height of a child and their age (for children between the ages of 5 and 13). Below are two defined variables, a regression equation and two example data points. Variables: Hgt = height in inches Age = age in years of a child Regression Equation: Hgt" = 24.3 + 2.74*Age Two example data points (observations): A child that is 12 years old and 60 inches tall A child that is 8 years old and 45 inches tall. (a) Find the predicted value of height (Hgt') for the child that is 12 years old. Predicted height of 12 year old : inches (2dp) (b) The child that is 8 years old would have a predicted height of 46.22 inches (2dp) base on this regression model. What is the residual for this observation? Residual for 8 year old child = inches (2dp) (c) Interpret the slope in context. A When the age of a child increases by 1 year we predict that their height will increase by 2.74 inches v (d) Interpret the intercept in context. When the age of a child is O we predict that they are 24.3 inches tall. e A This is not meaningful in context because it is an extrapolation. v