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An electric utility wishes to examine the relationship between temperature and electricity use in its service region during the summer months. The bivariate data below give the maximum temperature (denoted by x, in degrees Fahrenheit) and the electricity use (denoted by ,y in thousands of kilowatt hours) for a random sample of fifteen summer days. The data are shown in the Figure 1 scatter plot. Also given are the products of the temperature values and values for electricity use for each of the fifteen days. (These products, written in the column labelled "x,y" may aid in calculations.) .
x y xy
92.4 342.3 31628.52
69.1 306.8 21199.88
89 313.1 27865.9
82.5 311.3 25682.25
70.7 282.7 19986.89
84.6 353 29368.8
82.3 258.4 21266.32
94.8 334.8 31739.04
72.4 231.3 16746.12
82.2 322.3 26493.06
99.1 381.6 37816.56
90 312.1 28089
75.3 293.7 22115.61
96.6 310.2 29965.32
93.9 371 34836.9
What is the value of the slope of the least-squares regression for these data rounded to two decimal points?
Formulate a suitable null and alternative hypothesis to test the students' claim that they followed their instructor's recommendation at a 5% level of significance and interpret your findings.
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Use the following data to write the normal equations of the linear regression between Y and X, and find the least squares regression.
Choose an article that explains research using one or more statistical tests (z, t, ANOVA, chi square, regression) as part of data analysis. Explain the study using the following information:
Assume the data for the three groups are independent and the data are approximately Normal. The P-value is less than 0.01. The correct conclusion is that
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When we carry out a goodness of fit chi-square test, the expected frequencies are based on the alternative hypothesis
Find a 99% confidence interval for the population mean number of weekly miles.
For following set of scores, prepare a frequency distribution, a histogram, and a stem-and-leaf display for each variable. Also calculate the mean, the median and the standard deviation of each score.
With 95% confidence, what is the margin of error (to 2 decimals)? What is the 95% confidence interval estimate of the population mean?
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