In Geographical Analysis, geography professors at the University of Wisconsin-Mi
ID: 3218707 • Letter: I
Question
In Geographical Analysis, geography professors at the University of Wisconsin-Milwaukee and Ohio State University demonstrated the use of satellite image maps for estimating urban population. A proportion of Columbus, Ohio, was partitioned into census block groups, and satellite imagery was obtained. For each census block, the following variables were measured: population density (y), proportion of block with low-density residential areas (, and proportion of block with high-density residential areas (. A multiple regression model for y was fit to the data with the following results:
Give a practical interpretation of .
i.We are 68.6% confident that proportion of blocks with high-density residential areas and proportion of blocks with low-density residential areas are good predictors of population density.
ii.Since = 0.686, r = 0.828.
iii.68.6% of the variability in y can be explained by
iv.68.6% of the variability in y can be explained by the model
State the null and alternative hypothesis to test if this is a useful model.
i.H0: 1 = 2 = 0
HA : at least one is non-zero
ii.H0: 1 = 0
HA: 1 0
iii.H0: 2 = 0
HA : 2 0
What test statistic would you use to conduct this test
i.Chi-Square
ii.F
iii.T
iv.Z
The test in (b.) was conducted and the result was a p-value of 0.004. If = 0.01, would you conclude that this model is useful?
i.No, p-value is less than alpha.
ii.Yes, p-value is less than alpha.
What value would you use to compare a model with two predictors for y to model with three predictors for y, if both models were found to be effective?
i.T statistic
ii.r
iii.
iv.
Explanation / Answer
iv.68.6% of the variability in y can be explained by the model
i.H0: 1 = 2 = 0, HA : at least one is non-zero
ii.F
ii.Yes, p-value is less than alpha.
i.T statistic
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.