# Question: Educational researchers desired to find out if a relationship exists

Educational researchers desired to find out if a relationship exists between the average SAT verbal score and the average SAT mathematical score. Several states were randomly selected, and their SAT average scores are recorded below. Is there sufficient evidence to conclude a relationship between the two scores?

Do a complete regression analysis by performing these steps.

a. Draw a scatter plot.

b. Compute the correlation coefficient.

c. State the hypotheses.

d. Test the hypotheses at α = 0.05. Use Table I.

e. Determine the regression line equation.

f. Plot the regression line on the scatter plot.

g. Summarize the results.

Do a complete regression analysis by performing these steps.

a. Draw a scatter plot.

b. Compute the correlation coefficient.

c. State the hypotheses.

d. Test the hypotheses at α = 0.05. Use Table I.

e. Determine the regression line equation.

f. Plot the regression line on the scatter plot.

g. Summarize the results.

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