The Scientific notation for above value is :
This problem uses the UN11 data in the alr4 package. (a) Plot fertility against ppgdp. Fit a linear model regressing fertility o
n ppgdp and add the fit on the plot. Comment on why this model is not good. (b) Use a "residuals vs fit" plot to check if there is any non-constant variance or non-linearity problem. State the main problem and explain why in one or two sentences. (c) Use a normal Q-Q probability plot to check if the normality assumption is met. State the main problem and explain why in one or two sentences. (d) Shapiro-Wilk test is a test of normality of a numeric variable. The null hypothesis for this test is that the variable is normally distributed. Use the R function shapiro.test() to test if the residuals of the linear fit in part (a) is normally distributed. State the p-value of this test and your conclusion given α = 0.05. Does the result support your conclusion in part (c)? (Use the code ?shapiro.test or help(shapiro.test) to understand how to use this function.)
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Hey Gary :) Nice to see you around
For this question, we want to use logarithmic rules to write the expression as a single logarithm.
Using the rule
, we can simplify
to 
. We can also simplify 
to 
.
So, we have + 
.
Another logarithmic rule is:
Using this rule, we can use the logs we have calculated and change them to:
This matches answer choice A.
Hope this helps! Feel free to contact me with any questions.
For this question, we want to use logarithmic rules to write the expression as a single logarithm.
Using the rule
So, we have
Another logarithmic rule is:
Using this rule, we can use the logs we have calculated and change them to:
This matches answer choice A.
Hope this helps! Feel free to contact me with any questions.