When x is 4.2, the predicted y value is approximately 24.8.
The question pertains to Statistics, specifically correlation and regression. A correlation coefficient of -0.538 suggests a moderate inverse relationship between variables. The regression equation y = -2.7x + 36.14 suggests y decreases by 2.7 units for every unit increase in x.
To predict the y value when x is 4.2 using the given correlation coefficient and regression equation, we need to use the appropriate method. In this case, we will use the regression equation to calculate the predicted y value.
Using the regression equation y^=-2.7x+36.14, we can substitute x=4.2 into the equation:
y^=-2.7(4.2)+36.14
y^=-11.34+36.14
y^=24.8
Complete question :-
Suppose that you run a correlation and find the correlation coefficient is -0.538 and the regression equation is y^=-2.7x+36.14. The mean of your x-values was 5.2. The mean of your y-values was 22.1.
If the critical value is .632, use the appropriate method to predict the y value when x is 4.2.