Question: The following data contains the ACT scores and the GPA

(based on a four-point scale and rounded to the nearest tenth) of eight college

student:

Student 1 2 3 4 5 6 7 8

GPA 2.8 3.4 3.0 3.5 3.6 3.0 2.7 3.7

ACT 21 24 26 27 29 25 25 30

1. Obtain the scatterplot and based on the plot, describe the relationship between ACT and GPA.
2. Compute the correlation coefficient and based on the result, describe the relationship between ACT and GPA.
3. Obtained the least squares regression line for predicting GPA based on ACT. Interpret the estimated coefficients based on the context of this question.
4. Based on the results in part (c), how much higher is the predicted GPA if the ACT score is increased by 5 points?
5. What is the predicted value of GPA when ACT is 20? Should you put any faith in this prediction? Why or why not?
6. How much of the variation in GPA for these eight students is not explained by ACT?
7. Calculate the eight predicted GPAs and the corresponding eight residuals. Then plot the predicted GPA on horizontal axis and residuals on vertical axis (this is a version of the residual plot). What can you tell from this residual plot regarding the assumptions needed for the regression model?

Price: $2.99

Solution: The downloadable solution consists of 5 pages
Deliverable: Word Document