Example 18.2 Odd Number of YearsYear X19961997199819992000270285295315330We are required to fit a trend to these data, using the method of least squares.

Given: Year X 1996 1997 1998 1999 2000 Y 270 285 295 315 330 To find: Fit a trend to the…

Answered: Example 18.2 Odd Number of Years Year X…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Fiske Corporation manufactures a popular regional brand of kitchen utensils. The design and variety has been fairly constant over the last three years. The managers at Fiske are planning for some changes in the product line next year, but first they want to understand better the relation between activity and factory costs as experienced with the current products. Discussions with the plant supervisor suggest that overhead seems to vary with labor-hours, machine-hours, or both. The following data were collected from last three year's operations: Quarter Machine-Hours 18,850 4 5 6 7 8 9 10 11 12 18,590 17,480 19,240 21,280 19,630 19,240 18,850 18,460 20,670 17,550 18,460 Labor-Hours 15,605 15,484 16,727 15,990 17,508 17,376 15,297 14,373 16,001 17,002 14,285 17,651 Factory costs $ 3,395,671 3,425,836 3,617,844 3,573,940 3,812,984 3,778,012 3,532,426 3,369,802 3,513, 187 3,731,434 3,325,615 3,724,486 Required: Prepare a scatter graph based on the factory cost and labor-hour data. Note: 1.…
2. Table below records the quarterly refrigerator sales for the period 2012-2014. Number of 1 2 3 4 purchases 2012 46 41 60 63 2013 56 52 66 72 2014 58 56 75 76 a) Find the trend equation using the least squares method. b) Forecast the sales for the 1" quarter of 2015.
The basic hypothesis is that people who play sports are more likely than others to watch sport on TV. Your first task is to crosstabulate the data involving the playing and watching of sports and to determine the direction and strength of that relationship. Write out your findings about this basic relationship. Your next task is to determine the direction and strength of the partial relationships when you control for the gender of individuals.
2. Find the least linear fit to the following data: * * 2 3 2 -3 -3 -1 55
The following gives the number of accidents that occurred on Florida State Highway 101 during the last 4 months: N Video Get more help - # 3 Using the least-squares regression method, the trend equation for forecasting is (round your responses to two decimal places): ŷ=0+0x 30 A E D $ 4 R F % 5 T Month Jan Number of Accidents 25 G MacBook Air Y H U Feb 48 8 Mar 64 1 9 Apr 90 K O Clear all P
Section 10.2 Question #11 The data show the number of viewers for television stars with certain salaries. Find the regression equation, letting salary be the independent (x) variable. Find the best predicted number of viewers for a television star with a salary of $11million. Is the result close to the actual number of viewers, 3.3 million? Use a significance level of 0.05. Salary (millions of $) 108 15 2 15 3 8 4 14 Viewers (millions) 9.1 9.3 10.9 1.3 4.8 4.8 3.2 1.8 View the critical values of the Pearson correlation coefficient r. Critical values of the pearson correlation coefficient r n α=0.05 α=0.01 NOTE: To test H0: ρ=0 against H1: ρ≠0,reject H0if the absolute value of r is greater than the critical value in the table. 4 0.950 0.990 5 0.878 0.959 6 0.811 0.917 7 0.754 0.875 8 0.707 0.834 9 0.666 0.798 10 0.632 0.765 11 0.602 0.735…
Pulmonary Disease A study was performed looking at the effect of mean ozone exposure on change in pulmonary function. Fifty hikers were recruited into the study; 25 study participants hiked on days with low-ozone exposure, and 25 hiked on days with high-ozone exposure. The change in pulmonary function after a 4-hour hike was recorded for each participant. The results are given in the table below. (Let population 1 be high-ozone exposure and population 2 be low-ozone exposure. Use high-low.) Comparison of change in FEV on high-ozone vs. low-ozone days Ozone level Mean change in FEV* High H₁: Low USE SALT 0.102 0.049 sd 0.254 25 0.105 25 (a) What test can be used to determine whether the mean change in FEV differs between the high-ozone and low-ozone days? (You may need to use the Distribution Calculators page in SALT to check conditions.) O paired t test O F test for the equality of two variances O two-sample t test for independent samples with equal variances O two-sample t test for…
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Example 18.2 Odd Number of Years Year X 1996 1997 1998 1999 2000 Y 270 285 295 315 330 We are required to fit a trend to these data, using the method of least squares.