A regression equation was calculated and is given below. The values for Miss America are values such as 0, 1, 2, 3, 4, etc.
Regression Analysis: GPA versus Miss America
The regression equation is
GPA = 3.32 - 0.0890 Miss America
b. What is the response variable?
The values of miss america and gpa
c. What is the explanatory variable?
Miss America
d. Does the y-intercept have any logical interpretation?
No
e. Interpret the slope in terms of how GPA changes as Miss America increases.
unknown
ANYONE HAVE ANY HELP FOR ME ON THIS???
Regression equation is predicted y = a + bx
...where a represents the y-intercept and b the slope.
----------------------
Explanatory or Predictor Variable = x (Miss America)
Response or Outcome Variable = y
(GPA)
----------------------
Y-Intercept = 3.32
Y-Intercept Interpretation: If x = 0, we would expect GPA to equal 3.32.
-------------------------------
Slope Interpretation: For every increase in value by 1, you can expect an additional decrease of 0.0890 in the GPA.
--------------------
Hope this helps.
To answer the questions, we first need to understand the regression equation given:
GPA = 3.32 - 0.0890 * Miss America
b. The response variable in this regression analysis is GPA. It is the variable that we are trying to predict or explain using the other variable.
c. The explanatory variable in this regression analysis is Miss America. It is the variable that we are using to predict or explain the response variable (GPA).
d. In this case, the y-intercept (3.32) does not have a logical interpretation because when the Miss America score is zero, it does not make sense to have a GPA value of 3.32. So, it is not meaningful to interpret the y-intercept in this context.
e. The slope (-0.0890) represents how the GPA changes for each one-unit increase in Miss America score. In this case, as Miss America score increases by one unit, the GPA is expected to decrease by 0.0890. However, it's important to note that without any further information, we cannot determine the specific relationship between Miss America score and GPA, as the context or purpose of the regression model is not provided.