Question
Refer to the partial regression output below, modeling website clicks (Q) as a function of time (in days) and days of the week (using dummy
Refer to the partial regression output below, modeling website clicks (Q) as a function of time (in days) and days of the week (using dummy variables).
Regression Statistics | ||||
Multiple R | 0.96688 | |||
R Square | 0.934857 | |||
Adj R square | 0.928249 | |||
Standard Error | 216.2672 | |||
Observations | 77 | |||
ANOVA | ||||
df | SS | MS | F | |
Regression | 7 | 46313735 | 6616248 | 141.4589 |
Residual | 69 | 3227235 | 46771.52 | |
Total | 76 | 49540970 | ||
Coefficients | Standard Error | |||
Intercept | 839.3532 | 80.24137 | ||
Tues | 640.508 | 92.45832 | ||
Wed | 1657.135 | 92.38454 | ||
Thurs | 1799.217 | 92.32414 | ||
Fri | 1818.027 | 92.27714 | ||
Sat | 1558.109 | 92.24355 | ||
Sun | 870.3725 | 92.22338 | ||
t | 20.28163 | 1.11339 | ||
- What is the sample regression equation? How much more are the predicted clicks on Saturday v. clicks on Tuesday?
- Comment on the power of the model and significance of the independent variables by calculating t-statistics on each variable (assume the critical t is 2.0). On which day are the clicks the highest? Predict clicks on day 100 when the day is a Friday.
- Suppose instead you use ln(Q) as the dependent variable and t as the indendent variable, and
find the following through regression:
In(Q) = 3.46 + (0.087)t
Transform the above equation so that Q is on the left-hand side and t is on the right-hand side. Predict clicks at t = 100. What is the annual growth rate of clicks?
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