Question

B)The correlation coefficient (r) of the above date is .697. Interpret the strength of the relationship between the percent return and new adultsC) Determine the coefficient of determination (r^2) and interpret its meaning D)the regression equation of the above date is y= —5.97+.29x. Interpret the slope of the regression line. (Hint. b =.29=.29/1)E)Using the regression equation, y = —5.97 + .29x, predict the new adult of a percent return is 69.

Answer 1

Explanation

Part A

Part B

The relationship between two variables is generally considered strong when their r value is larger than 0.7. The correlation r measures the strength of the linear relationship between two quantitative variables.

Therefore the relationship is not very strong with the calculated model.

Part C

`r^2=0.49`

The coefficient of determination is a measure used in statistical analysis to assess how well a model explains and predicts future outcomes. while a value of 0.49 suggests that 49% of the dependent variable is predicted by the independent variable, and so forth.

Part D

The slope of the regression is 0.29 which means that for each new adult the percentage return increases by 0.29.

Part E

`\begin{gathered} y=-5.97+0.29(69) \\ y=14.04 \end{gathered}`

The new adult is 14