Concept explainers
Making Predictions. In Exercises 5–8, let the predictor variable x be the first variable given. Use the given data to find the regression equation and the best predicted value of the response variable. Be sure to follow the prediction procedure summarized in Figure 10-5 on page 493. Use a 0.05 significance level.
7. Height and Weight Heights (cm) and weights (kg) are measured for 100 randomly selected adult males (from Data Set 1 “Body Data” in Appendix B). The 100 paired measurements yield
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ELEMENTARY SATISTICS IA
- ?How do you find D? Asking about the end behavior of the data?arrow_forwardWhich command in R to make a plot of the data and then add the regression line of the two random variables x and y?arrow_forwardIn the regression model ŷ = a + bx, a and b are the: omitted variables O sample statistics O random variables O population parametersarrow_forward
- a) Calculate the sample correlation coefficient r (show all your work).b) Calculate the regression line (you may use technology, but you should write up the details).c) Use the regression line obtain in b. to predict the value of y for x = 0.3 year.d) Use the regression line obtain in b. to predict the value of y for x = 0.8 year.arrow_forwardPrice ($/gal) Demand (million of gal.) 1 790 1.2 700 1.4 640 1.6 580 1.95 497 2.2 450 2.4 430 2.6 420 2.8 390 3 360 Note: there is some randomization in the above data to account for price fluctuations. Make sure to check that you input the correct data in your device. Perform the following work • Assume that Supply has a quadratic relationship with the price. Find this relationship (the help buttons contain an article to compute trend-lines in Excel): -21.935p² + 207.365p+339.085 Round your answer to 3 decimal places S(p) - Supply (million of gal.) 511 550 600 641 660 680 700 720 735 786 • Assume that the Demand has a quadratic relationship with the price. Find this relationship (the help button links to an article to compute trend-lines in Excel): 85.561p2 - 543.789p + 1236.729 Round your answer to 3 decimal places D(p) = 1.65 Use the trendlines to find the price corresponding to the equlibrium price between supply and demand: X $ per gallon Round your answer to 2 decimal placesarrow_forwardDetermine the statistical test that should be conducted before conducting linear regression? a. Normality test b. Variance Homogeneity test c. Correlation d. Data transformationarrow_forward
- a. Draw a scatter diagram for the data. b. Draw a regression line of y on x. c. Determine the equation of the line of best fit.arrow_forwarda) Determine sum of squares of error (SSE) and correlation coefficient (R?) for the model. b) Estimate the parameters of reaction model with 95% confidence limits. c) Evaluate the fit of the model equation you obtained to your data. d) Estimate concentration of flavor compound after 17 days of storage by using the best model. Time Concentration (d) (mg/L) 561.00 569.67 3. 252.11 258.40 7. 107.95 7. 113.22 10 47.77 10 50.83 15 23.80 15 22.95 23 9.35 23 10.20arrow_forwardInterpreting a Computer Display. In Exercises 5–8, we want to consider the correlation between heights of fathers and mothers and the heights of their sons. Refer to the StatCrunch display and answer the given questions or identify the indicated items. The display is based on Data Set 5 “Family Heights” in Appendix B. Height of Son Identify the following: a. The P-value corresponding to the overall significance of the multiple regression equation b. The value of the multiple coefficient of determination R2 c. The adjusted value of R2arrow_forward
- Econometrics, Bruce Hansen exercise 7.8arrow_forwardThe table below shows the average monthly rainfall in inches for Los Angeles, California. Which model best represents the data set? Month 1 2 3 4 7 8 10 11 12 Rainfall 3.33 3.68 3.140.83 0.31 0.06 0.01 0.13 0.32 0.37 1.05 1.91 O y = 0.09x² – 1.43x + 5.51 Oy = -1.43x + 5.51 O y = 0.01x? +1.43x + 5.51 O y = 1.43x +5.51arrow_forwardCalculate the best (most complex/sophisticated/stable) measure of central tendency allowed for the following data. The variable is favorite month (Where January = 1, February = 2, etc.) Explain. 3, 9, 9, 4, 2, 7, 1arrow_forward
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