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In: Statistics and Probability

The following lists two variables taken from a survey of recent college graduates: Cumulative First year’s...

The following lists two variables taken from a survey of recent college graduates: Cumulative First year’s salary College GPA (in 1,000’s) Joe 3.1 28 Suzy 2.5 22 Catherine 3.6 29 Simon 2.8 25 Jethro 2.7 27 Shannon 3.3 30 Vonda 3.4 32 Zane 3.5 28 Use the data to answer the following: a. Draw a scatter diagram depicting the relationship between these two variables. Interpret. b. Calculate the coefficient of correlation. Interpret. c. Calculate the coefficient of determination. Interpret. d. Develop a regression equation for this data e. Using your regression equation, what would you predict Geraldine's first year salary to be if she graduated with a 3.15 G.P.A.?

Solutions

Expert Solution

a)

scatter plot is attached above, which shows a positive linear relationship between GPA and  Cumulative First year’s salary

b)

coefficient of correlation =0.809 ; which tells us that there is a strong and positive correlation between GPA and  Cumulative First year’s salary

c)

coefficient of determination =0.6545

this tells us that 65.45% of variation in  Cumulative First year’s salary is explained by GPA

d)

regression equation: Yhat =8.557+6.126x

e)

predicted value =8.557+6.126*3.15 =27.85

orchestra answered 1 year ago
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