Question

Which of the two linear models found gives more optimistic predictions for Mary's upcoming exam? Please Explain.

Mark vs. Hours Studied • Mark - 1.71*x + 58.6 R2 = 0.388 Mark 1 10 12 Hours Studied

Answer 1

we have two linear model

let first is

Mark = 1.71x +58.6 with R² = 0.388

and second is

Mark =0.874x+66.3 and R² = 0.643

we will conclude that the second model gives more optimistic predictions for Mary's upcoming exam because of the value of the coefficient of determination R² for second model is more than first.

and points fall more on the regression line into second model as comparison to the first model,