(a) Enter the expected frequencies below:   X Y Z A       B       (b) What is the chi-square test-statistic for this data?       Test Statistic: χ2= (c) What is the critical value for this test of independence when using a significance level of α = 0.05?       Critical Value: χ2=

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Measurements of the electrical resistivity of tungsten at specified temperatures are presented in the table below. The error in the determination of the temperature was negligible. The temperatures are stated as absolute temperatures in °K. The units of resistivity are u Ncm . Carry out a regression analysis for resistivity as a function of temperature. Temperature Resistivity 300 5.54 Include a scatterplot showing the residuals vs temperature. 400 7.95 Do the regression assumptions appear to be valid? 500 11.00 600 12.28 Include a scatterplot showing the raw data points as black circles as well as a continuous blue line representing the regression model. 700 15.95 800 18.46 Find the lower and upper limits for a 99% confidence interval for the slope of the regression model. Add a pair of red lines to the scatterplot: both passing through the centroid of the data, one having the slope corresponding to the lower bound of the confidence interval, and the other having the slope…

The linear correlation between an independent (x) and dependent (y) variable   A. Is the foundation for simple (bivariate) regression   B. Does not indicate a causal relationship, though one might exist   C. Can be direct, inverse, or nonexistent   D. Can be used to predict the value of y for any observed value of x   E. All of the above   F. None of the above