Question

In: Statistics and Probability

4. In a research project to determine the relationship between the numbers of articles read and...

4. In a research project to determine the relationship between the numbers of articles read and students’ grades for the paper, 6 students were randomly chosen and below data was collected

x (number of articles read)

y (students grades in %)

7

82

2

55

5

95

9

85

4

75

8

87

a) Draw a scatter plot for the data;

b) Find the equation of the line of best fit. Draw the line of best fit on the scatter plot diagram. Round off the coefficients to one decimal place;

c) Find the coefficient of determination. Write a statement of interpretation for it.

5. Solve question 3 again, using a statistical software (i.e., Excel, StatDisk, etc.). Attach the printed output to your assignment.    

=> I need a screen shot

Solutions

Expert Solution

( a ) Scatter plot

( b )

equation of the line of best fit. is

y = 58.8 + 3.6⋅x

( c )

coefficient of determination. ( r2 ) = ( 0.6907 )2

= 0.4771

= 47.71 %

Interpretation :

47.71 % of variability in the students grades ( y ) is explained by the variation in  number of articles read ( x )

orchestra answered 3 years ago
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