Question

In: Statistics and Probability

A researcher wants to determine the relationship between the typing speed of administrative assistants at a...

A researcher wants to determine the relationship between the typing speed of administrative assistants at a major university is related to the time that it takes for the admin assistant to learn to use a new software program and may be used to predict learning time. Data are gathered from 12 departments at the university.

Dept Typing speed (words per minute) Learning time (hours)

A 48 7

B 74 4

C 52 8

D 79 3.5

E 83 2

F 56 6

G 85 2.3

H 63 5

I 88 2.1

J 74 4.5

K 90 1.9

L 92 1.5

Run a regression analysis of the data on Excel. Use your output to answer the following:

d. What is the value of the correlation coefficient between typing speed and learning time? What does is say about the strength of the relationship?

Solutions

Expert Solution

to run the regression equation in excel use the following path , the path is ...

menu---> excel----->enter the data of variable x ( typing speed ) and learning time ( y ) in excel----->data----->data analysis---->regression----->ok------->Input Y range (select the data of variable (y ) )----------> Input x range ( select the data of variable (x) ) ------>click on box of Labels----> Output range ( select one blank box in excel---->ok the excel output is as follows ;

use the excel command to calculate the correlation coefficient ( r ). the excel command is ,

'  = correl ( select the variable ( y ) , select the variable (x) ) ' enter then answer is r = - 0. 9741 .

here , r = ?0.97, which indicates that there is a strong negative relationship between the variables typing speed (x ) and learning time ( y ). The relationship is negative because, as one variable increases, the other variable decreases. it means increase the typing speed (words per minutes) , the other variable learning time (hours ) decrease .


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