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Calculate the slope of the line of fit.
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- Zipfs Law The following table shows U.S cities by rank in terms of population and population in thousands. City Rank r Population N New York 1 8491 Chicago 3 2722 Philadelphia 5 1560 Dallas 9 1280 Austin 11 913 San Francisco 13 852 Columbus 15 836 A rule known as Zipfs law tells us that it is reasonable to approximate these data with a power function. a Use power regression to express the population as a function of the rank. b Plot the data along with the power function from part a. c Phoenix is the sixth largest city in the United States. Use your answer from part a to estimate population of Phoenix. Round your answer in thousands to the nearest whole number. Note: The actual population is 1537 thousand.The prelim grades (x) and midterm grades (y) of a sample of 10 MMW students is modeled by the regression line y = 12.0623 + 0.7771x. Estimate the prelim grade if the midterm grade is 83.The table below list weights (carats) and prices (dollars) of randomly selected diamonds Weight 0.3 0.4 0.5 0.5 1.0 0.7 Price 510 1151 1343 1410 5669 2277 Find r Test with a .05 level of significance H0 : ρ = 0 and H1: : ρ ≠ 0 Find m and b for simple regression
- A sample of 10 people ingested a new formulation of a new drug. Six hours later, the concentrations in their bloodstreams, in nanograms per mililiter were as follows: 2.3 1.4 1.8 2.1 1.0 4.1 1.8 2.9 2.5 and 2.7. Construct a dot plot for this sample. Is it reasonable to treat the sample as coming from an approximately normal population? Explain.Find the residuals for the data. Graph a separate residual plot. Use Desmos and upload a screen shot below. Show Your WorkRegression analysis was applied between sales data (y) and advertising data (x) and the following information was obtained. SSR = 800SST = 1250Sample Size (n) = 12 The standard error of the estimate is
- Use the given data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line.x y10 7.469 6.8311 13.1110 6.8111 7.5813 8.787 6.164 5.1612 7.846 6.656 5.52Find the Pearson r Correlation Coefficient: r = Blank 1 Find the equation of the regression line: y = Blank 2x + Blank 3 The purpose of calibration in this application is to estimate pressure from an observed scale reading. Estimate the pressure for a scale reading of 54: Pressure = Blank 4 lb/sq. inX Y 100 9.3 50 4.8 100 8.9 100 6.5 50 4.2 80 6.2 75 7.4 65 6 90 7.6 90 6.1 Use the appropriate formula to find the regression equation for the sample data. Use Regression equation
- Find the Pearson r Correlation Coefficient: r = Blank 1 Find the equation of the regression line: y = Blank 2x + Blank 3 Estimate the amount of particulate removed when the daily rainfall is x = 4.8 units: Blank 4 μg/m3The power of the slope t-test is NOT determined by: A)direction of slope B) sample size C) effect size D) alphaa. Show that the regression R2 in the regression of Y on X is the squaredvalue of the sample correlation between X and Y. That is, show thatR2 = r2XY.b. Show that the R2 from the regression of Y on X is the same as the R2from the regression of X on Y. c. Show that ^β1 = rXY (sY/sX), where rXY is the sample correlationbetween X and Y, and sX and sY are the sample standard deviationsof X and Y.
