A researcher believes that there is a positive relationshipbetween the time spent in studying and the score a student gets atthe end of the semester. She selected a sample of students andrecorded the following data:
Time Spent in minutes | Score out of 100 |
120 | 86 |
75 | 83 |
60 | 78 |
45 | 75 |
180 | 91 |
30 | 72 |
90 | 84 |
After analyzing the data using Microsoft Excel, the researchergot the outputs below:
Answer the following (Please, use at least 2 decimals when youtype numbers ):
a.Ă‚Â Ă‚Â Ă‚Â Ă‚Â The correlation coefficient (r) =Answer
b.Ă‚Â Ă‚Â Ă‚Â Ă‚Â The relationship between the timespent in studying and the score a student gets is: Answerweak andpositivestrong and negativeweak and negativestrong and positive
c.Ă‚Â Ă‚Â Ă‚Â Ă‚Â The y-intercept equals: Answer
d.Ă‚Â Ă‚Â Ă‚Â Ă‚Â The regression (time spent)coefficient equals = Answer
e.Ă‚Â Ă‚Â Ă‚Â Ă‚Â The regression model will be:AnswerScore = 70.704 + 0.123 MinuteMinute = 0.123 + 70.704ScoreScore = 0.123 + 70.704 MinuteMinute = 70.704 + 0.123 Score
f.Ă‚Â Ă‚Â Ă‚Â Ă‚Â Ă‚Â From the regression model, theresearcher can predict that if a student spends 2.5 hours, thescore he gets will be: Answer
g.Ă‚Â Ă‚Â Ă‚Â Ă‚Â From the regression model, if astudent did not study at all, his score would be expected to be:Answer
h.Ă‚Â Ă‚Â Ă‚Â Ă‚Â The coefficient of determination forthis model is:Ă‚Â Ă‚Â Answer95708890%
