A regression analysis was conducted using data on success rates and retention rates in transfer courses at a sample of California community colleges. Assume the conditions for the linear model regression model are satisfied.

a. Interpret the slope in context.

b. State the 95% confidence interval for the slope.

c. Based on the confidence interval for the slope, is there a relationship between success rate and retention rate in these courses? Explain.

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Simple Linear regression results: Dependent Variable: * Transfer Retention Independent variable: + Transfer success Transfer Re tention = 0.42111474 + 0.61582462 Transfer Success Sample size :115 R(correlation coefficient)= 0.70232601 R-sq = 0.49326182 Estimate of error standard deviation:0.024295177 Parameter estimates: Parameter Estimate Std. Err. DF 95%L.Limit 95% U. Limit Intercept 0.42111474 0.042023324 113 0.33785896 0.50437053 Slope 0.61582462 0.5871795 113 0.49949377 0.73215547