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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
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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.

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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