Suppose a researcher is interested in predicting anxiety level based on the amount of the number of hours worked in a day. Data collected from 5 college students is shown below. Be sure to label your answers with the appropriate letter and show all your work (each mathematical step) for each answer. Hours (X) Anxiety (Y) 8 6 7 7 9 9 8 6 8 10 a) Calculate the covariance between the two variables. Hint: The mean of X (Hours) is 7.4. You'll need to then start by calculating the mean of Y (Anxiety). b) Calculate the standard deviation of the X variable. The standard deviation of Y is 1.48. c) Calculate and INTERPRET the correlation between the variables.
Suppose a researcher is interested in predicting anxiety level based on the amount of the number of hours worked in a day. Data collected from 5 college students is shown below. Be sure to label your answers with the appropriate letter and show all your work (each mathematical step) for each answer.
Hours (X) | Anxiety (Y) |
8 6 7 7 9 |
9 8 6 8 10 |
a) Calculate the
b) Calculate the standard deviation of the X variable. The standard deviation of Y is 1.48.
c) Calculate and INTERPRET the
d) Calculate and INTERPRET the slope and y-intercept. Report the complete regression/prediction equation.
e) If a new person works 6 hours, what would you predict their anxiety level to be? HINT: You need to use the regression equation to answer this question.
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