In: Statistics and Probability
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
( 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 )