A researcher would like to know whether there is a consistent,predictable relationship between verbal skills and math skills for high school students.A sample of 200 students is obtained,and each student is given a standardized English test and a standardized math test.Based on the test results,students are classified as high or low for verbal skills and for math skills.The results are summarized in the following frequency distribution:
a. Based on these results, can the researcher conclude that there is a significant relationship between verbal skills and math skills? Test at the .05 level of significance.
b.Compute the phi-coefficient to measure the strength of the relationship.
Definitions:
Regression Equation
An equation derived from regression analysis that expresses the predicted value of the dependent variable as a function of one or more independent variables.
Independent Variable
The variable in an experiment that is manipulated or changed by the researcher to observe its effect on the dependent variable.
Regression Coefficient
A value that represents the degree of change in the dependent variable for a one-unit change in the independent variable within a regression model.
Linear Association
A relationship between two variables that can be graphically represented with a straight line, indicating a constant rate of increase or decrease between them.
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