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**Subject Mathematics Advanced Statistics**

Check the file: Questions.pdf

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2. We use GSS 2008 data to see whether age affects the number of times one visited a public library in the past year. With a sample size of 1489 we find that the value of the slope is 0.072 and the value of the standard error is 0.038. Is the slope statistically significant? If so, at what level?

Solution: t = 0.072/0.038 = 1.894737, which less than 1.96 for the significance level of 0.05 and greater than 1.645 for the significance level of 0.10.

3. We use GSS 2008 data to see whether age affects the number of times one visited a zoo in the past year. With a sample size of 1496 we find that the value of the slope is –0.019 and the value of the standard error is 0.004. What can you conclude from this?

t = -0019/0.004 is around -0.005 and it is way too small to be significant in anyway.

a.) The slope is significant at the p<0.001 level

b.) The slope is significant at the p<0.01 level

c.) The slope is significant at the p<0.05 level

d.) The slope is not statistically significant.

The answer is option d.)...

Solution: t = 0.072/0.038 = 1.894737, which less than 1.96 for the significance level of 0.05 and greater than 1.645 for the significance level of 0.10.

3. We use GSS 2008 data to see whether age affects the number of times one visited a zoo in the past year. With a sample size of 1496 we find that the value of the slope is –0.019 and the value of the standard error is 0.004. What can you conclude from this?

t = -0019/0.004 is around -0.005 and it is way too small to be significant in anyway.

a.) The slope is significant at the p<0.001 level

b.) The slope is significant at the p<0.01 level

c.) The slope is significant at the p<0.05 level

d.) The slope is not statistically significant.

The answer is option d.)...

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