Reference no: EM131406279

1. Consider, again, the variables Min_July and Min_August-the mean minimum daily temperatures in July and August of each year.

Perform a regression analysis with Y = Min_August and X = Min_July. Is there a significant correlation between the two? Interpret the meaning of the slope and the intercept in this equation. If the value of Min_July were 200, what would you predict the value of Min_August to be? Does this result affect your decision of which model to use for comparing the difference of two means in the Module Seven Journal?

Now consider the variables Precip_July and Precip_August. These record the total precipitation in July and August of each year. Perform a regression analysis with Y = Precip_August and X = Precip_July. Is there a significant correlation between the two? Interpret the meaning of the slope and the intercept in this equation. If the value of Precip_July were 100, what would you predict the value of Precip_August to be?

For additional details, please refer to the Module Seven Journal Aid Transcript document, Journal Rubric document, and Journal Dataset document in the Assignment Guidelines and Rubrics section of the course.

2. It is recommended that you begin the Module Four Discussion and Module Four Problem Set before posting your journal entry.

For your fourth journal entry, consider again the variable DP05. Last week you constructed a 95% confidence interval for the number of months that had no days with 0.5 inches or more of precipitation.

A resident thinks that 15% of the months have no days with 0.5 inches or more of precipitation. Test this claim at a 0.05 significance level. How do your results compare to your 95% confidence interval from the Module Three journal?

Now consider the variable EMNT. This is the extreme low temperature (extreme minimum temperature) for the month, also reported in tenths of a degree Celsius. For example, a value of -50 in EMNT means that the extreme low for the month was -5 degrees Celsius, or 23 degrees Fahrenheit.

A resident thinks that the extreme low temperature during a randomly chosen month is about -5 degrees Celsius. Test this claim at a 0.01 significance level. Use both the classical method and the p-value method. Does this analysis make sense?

3. It is recommended that you begin the Module Three Discussion and Module Three Problem Set before posting your journal entry.

For your third journal entry, consider again the variable DP05. How many months had no days with 0.5 inches or more of precipitation? What proportion of months had no days with 0.5 inches or more of precipitation? Construct a 95% confidence interval for the proportion of months that had no days with 0.5 inches or more of precipitation. Does this analysis make sense?

Now consider the variable EMXT (extreme maximum temperature). Construct a 99% confidence interval for the extreme maximum temperature for a month. Does this analysis make sense?

4. The Journal Data contains monthly weather data for a Manchester, NH, weather station. This was downloaded from the NOAA, the federal government agency that includes the U.S. National Weather Service. This dataset will be used for all journals in the course.

For your convenience, the data has been preloaded into StatCrunch as a shared dataset within MyStatLab, under the name "SNHU MAT240 15EW3 Manchester Weather." Review the Module One Journal Aid overview video to learn how to access this dataset in StatCrunch. Moreover, the journal aid videos provided in the learning modules provide instruction around the steps to complete a particular statistical operation on the dataset in StatCrunch. For this reason, StatCrunch is highly recommended.

Alternatively, if you would prefer to use Excel to perform the statistical operations, download the dataset directly to your computer by clicking the Journal Dataset link.

For your first journal entry, consider the variable TPCP. That is the total precipitation, in tenths of a millimeter, for the month. For example, a value of 619 in TPCP means that it rained 61.9 millimeters that month, or about 2.4 inches.

Draw a histogram of TPCP. Estimate by eye the lowest and the highest data values from the graph (do not calculate; instead, estimate from your graph). Are there any outliers?

Keep on looking at the variable TPCP. Calculate the mean and median value of TPCP. Calculate the variance and standard deviation of TPCP. What do these four numbers mean for the National Weather Service or a weather forecaster?

5. Using the Journal Dataset, consider the variable DP05 (days with precipitation that is more than 05 tenths of an inch). This is the number of days in each month that had 0.5 inches or more of precipitation. For example, a value of 3 in DP05 means that during three days of that month, it rained or snowed (equivalent) more than half an inch.

Draw a histogram of DP05. Does DP05 have an approximately normal distribution? Does it have an obvious skew (left or right) and any obvious outliers? If an analysis requires that DP05 have a normal distribution, do you think that your results will be valid?

Now consider the variable EMXP (extreme maximum precipitation). That is the extreme precipitation in each month, in tenths of a millimeter. For example, a value of 300 in EMXP means that it rained 30 millimeters on the rainiest day of that month.

Draw a histogram of EMXP. Does EMXP have an approximately normal distribution? Does it have an obvious skew (left or right) and any obvious outliers? If an analysis requires that EMXP have a normal distribution, do you think that your.