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Discuss perfect correlation and negative correlation.
Use the following data to answer these questions regarding correlation:
The state of Vermont is divided into ten health planning districts, corresponding roughly to counties. The data for 2002 represent the percentage of newborns under 2500 grams (Y), the fertility rate for females <17 or >35 years of age (X1), and the percentage of births to unmarried mothers (X2) for each district:
District
Y
X1
X2
1
6.1
43.0
9.2
2
7.1
55.3
12.0
3
7.4
48.5
10.4
4
6.3
38.8
9.8
5
6.5
46.2
6
5.7
39.9
7.7
7
6.6
43.1
10.9
8
8.1
9.5
9
40.0
11.6
10
6.9
56.7
a. Make a scatter plot of Y and X1 using Word. To do this click on insert and then chart. Click on X Y (Scatter). Enter the data from the table.
b. Draw the line that appears to best fit the data.
If a time series is stationary without a linear trend or the seasonal component, which of the following forecasting methods may be suitable.
At.02 significance level is it sensible to conclude that mean number of shoes sold at mall stores is larger than at outlet stores?
Determine x-bar and s for this data set. You may suppose the values for bulb life are normally distributed. Use traditional method to make your decision.
Hours worked is important predictor of amount of sales.
Form the column of differences and find the mean and standard deviation of this column of numbers.
Determine the estimated population mean?
What is the standard error of the difference between the means?
Compute average daily rainfall in the week and for weekends. Get the average of weekdays' rainfalls and average of weekend's rainfalls.
Would you expect the mean absolute percentage error to be more than or less than 0.25? Describe.
Would the null hypothesis be accepted or rejected in this case?
By using the age midpoints x and the percentages of nurses, do we have a valid probability distribution? Describe.
It is believed that population standard deviation is 15 days. If test is conducted using a 0.05 level of significance, what conclusion must be reached?
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