You conduct a study to see if the average number of hours spent studying (per we

Question

You conduct a study to see if the average number of hours spent studying (per week) varies by grade level. You ask a total of 160 students to report the number of hours they spend studying in a typical week. Students from all grade levels (freshmen, sophomore, junior, senior) are sampled. You run a linear model analysis, and get the following results:

(2nd opinion ...Please explain with great detail to further my understanding in linear regression.Thank you.)

a. What are the dependent and independent variables in this model?

b. Interpret the coefficients. What do each of them mean?

c. According to the model, what is the estimated average study time for a junior?

d. Based on the results, what can conclude about student study time?

Coefficients Estimate Std. Error t-value p-value Intercept 8.0082 0.1484 53.954 <0.001 Grade:Sophomore 0.129 0.2126 0.607 0.545 Grade:Junior -2.0636 0.2062 -10.007 <0.001 Grade:Senior -2.1916 0.2126 -10.375 <0.001

Explanation / Answer

a) Dependent variables is Freshmen that clearly identify from the table as Freshmen is not their.

    Independent variables are Grade:Sophomore, Grade:Junior and Grade:Senior

b) For Grade:Sophomore = A unit increase in grade Sophomore keeping all other variable constant Grade Freshmen increases by 0.129 unit.

     For Grade:Junior = A unit increase in grade Junior and keeping all other variable constant, Grade Freshmen decreases by -2.0636 unit.

    For Grade:Senior = A unit increase in grade:Senior keeping all other variable constant, Grade Freshmen decreases by -2.1916 unit.

c)   

-2.0636

d) Student study time for GradeJunior, Grade Senior and Grade Freshman are significantly different from each other wheras Grade:Sophomore is insignificant.

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