Marriage age The scatterplot below suggests a decrease in the difference in ages at

Chapter 26, Problem 23

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Marriage age The scatterplot below suggests a decrease in the difference in ages at first marriage for men and women since 1975. We want to examine the regression to see if this decrease is significant. Dependent variable is Men-Women R-squared = 72.6% s = 0.186 with 33 - 2 = 31 degrees of freedom Variable Coefficient SE(Coeff) t-Ratio P-Value Intercept 60.055 6.396 9.39 0.0001 Year -0.029 0.0032 -9.05 0.0001 a) Write appropriate hypotheses. b) Here is the residuals plot and a histogram of the residuals. Do you think the conditions for inference are satisfied? Explain. c) Test the hypothesis and state your conclusion about the trend in age at first marriage. The scatterplot below suggests a decrease in the difference in ages at first marriage for men and women since 1975. We want to examine the regression to see if this decrease is significant. Dependent variable is Men-Women R-squared = 72.6% s = 0.186 with 33 - 2 = 31 degrees of freedom Variable Coefficient SE(Coeff) t-Ratio P-Value Intercept 60.055 6.396 9.39 0.0001 Year -0.029 0.0032 -9.05 0.0001 a) Write appropriate hypotheses. b) Here is the residuals plot and a histogram of the residuals. Do you think the conditions for inference are satisfied? Explain. c) Test the hypothesis and state your conclusion about the trend in age at first marriage.