2. (use Minitab) Grintield Service company's marketing director is interested in analyzing the relationship between her company's sales and the advertising dollars spent. In the course of her analysis, she selected a random sample of 21 weeks and recorded the sales for each week and the amount spent on advertising. These data are shown below: c) The marketing director wishes to know if increasing the amount spent on advertising increases sales. As a first attempt, use a statistical test that will provide the required information. Use a significance level of 0.025. Upon careful consideration, the marketing manager realizes that it takes a certain amount of time for the effect of advertising to register in terms of increased sales. She therefore, asks you to find out if increasing the amount spent on advertising in the previous week increases sales of the current week. Conduct a hypothesis test to determine if, under this model, increasing the amount spent on advertising increases sales. Again, use a significance of 0.025.

2. (use Minitab) Grintield Service company's marketing director is interested in analyzing the relationship between her company's sales and the advertising dollars spent. In the course of her analysis, she selected a random sample of 21 weeks and recorded the sales for each week and the amount spent on advertising. These data are shown below: c) The marketing director wishes to know if increasing the amount spent on advertising increases sales. As a first attempt, use a statistical test that will provide the required information. Use a significance level of 0.025. Upon careful consideration, the marketing manager realizes that it takes a certain amount of time for the effect of advertising to register in terms of increased sales. She therefore, asks you to find out if increasing the amount spent on advertising in the previous week increases sales of the current week. Conduct a hypothesis test to determine if, under this model, increasing the amount spent on advertising increases sales. Again, use a significance of 0.025.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter3: Straight Lines And Linear Functions

Section3.CR: Chapter Review Exercises

Problem 12CR: Marginal Tax Rate The following table shows tax due for the given taxable income level for a single...

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Marginal Tax Rate The following table shows tax due for the given taxable income level for a single taxpayer. Taxable income Tax due 97, 000 21, 913 97, 050 21, 927 97, 100 21, 941 97, 150 21, 955 97, 200 21, 969 a. Show that the data in the table are linear. b. How much additional tax is due on each dollar over 97.000? c. What would you expect to be your tax due if you had a taxable income of 97, 000? of 98, 000? d. Find a linear formula that gives your tax due if your income is A dollars over 97, 000.
Monthly Household Spending ($) Annual Household Income ($) HouseholdSize 4,016 54000 3 3,159 30000 2 5,100 32000 4 4,742 50000 5 1,864 31000 2 4,070 55000 2 2,731 37000 1 3,348 40000 2 4,764 66000 4 4,110 51000 3 4,208 25000 3 4,219 48000 4 2,477 27000 1 2,514 33000 2 4,214 65000 3 4,965 63000 4 4,412 42000 6 2,448 21000 2 2,995 44000 1 4,171 37000 5 5,678 62000 6 3,623 21000 3 5,301 55000 7 3,020 42000 2 4,828 41000 7 5,573 54000 6 2,583 30000 1 3,866 48000 2 3,586 34000 5 5,037 67000 4 3,605 50000 2 5,345 67000 5 5,370 55000 6 3,890 52000 2 4,705 62000 3 4,157 64000 2 3,579 22000 3 3,890 29000 4 2,972 39000 2 3,121 35000 1 4,183 39000 4 3,730 54000 3 4,127 23000 6 2,921 27000 2 4,603 26000 7 4,273 61000 2 3,067 30000 2 3,074 22000 4 4,820 46000 5 5,149 66000 4 Use Excel’s Data Analysis tool to conduct a multiple regression analysis with annual income and household size as…
Monthly Household Spending ($) Annual Household Income ($) HouseholdSize 4,016 54000 3 3,159 30000 2 5,100 32000 4 4,742 50000 5 1,864 31000 2 4,070 55000 2 2,731 37000 1 3,348 40000 2 4,764 66000 4 4,110 51000 3 4,208 25000 3 4,219 48000 4 2,477 27000 1 2,514 33000 2 4,214 65000 3 4,965 63000 4 4,412 42000 6 2,448 21000 2 2,995 44000 1 4,171 37000 5 5,678 62000 6 3,623 21000 3 5,301 55000 7 3,020 42000 2 4,828 41000 7 5,573 54000 6 2,583 30000 1 3,866 48000 2 3,586 34000 5 5,037 67000 4 3,605 50000 2 5,345 67000 5 5,370 55000 6 3,890 52000 2 4,705 62000 3 4,157 64000 2 3,579 22000 3 3,890 29000 4 2,972 39000 2 3,121 35000 1 4,183 39000 4 3,730 54000 3 4,127 23000 6 2,921 27000 2 4,603 26000 7 4,273 61000 2 3,067 30000 2 3,074 22000 4 4,820 46000 5 5,149 66000 4 Develop a scatter plot between annual household spending and annual income. The scatter diagram should include a proper…
Income($1000s) HouseholdSize AmountCharged ($) 54 3 4,016 30 2 3,159 32 4 5,100 50 5 4,742 31 2 1,864 55 2 4,070 37 1 2,731 40 2 3,348 66 4 4,764 51 3 4,110 25 3 4,208 48 4 4,219 27 1 2,477 33 2 2,514 65 3 4,214 63 4 4,965 42 6 4,412 21 2 2,448 44 1 2,995 37 5 4,171 62 6 5,678 21 3 3,623 55 7 5,301 42 2 3,020 41 7 4,828 54 6 5,573 30 1 2,583 48 2 3,866 34 5 3,586 67 4 5,037 50 2 3,605 67 5 5,345 55 6…
South Shore Construction builds permanent docks and seawalls along the southern shore of Long Island, New York. Although the firm has been in business only five years, revenue has increased from $308,000 in the first year of operation to $1,084,000 in the most recent year. The following data show the quarterly sales revenue in thousands of dollars. Quarter Year 1 Year 2 Year 3 Year 4 Year 5 1 20 37 75 92 176 2 100 136 155 202 282 3 175 245 326 384 445 4 13 26 48 82 181 Let Period = 1 refer to the observation in quarter 1 of year 1; Period = 2 refer to the observation in quarter 2 of year 1; ... and Period = 20 refer to the observation in quarter 4 of year 5. Using the dummy variables (Qtr1 = 1 if quarter 1, 0 otherwise; Qtr2 = 1 if quarter 2, 0 otherwise; Qtr3 = 1 if quarter 3, 0 otherwise) and the variable Period, develop an equation to account for seasonal effects and any linear trend in the time series. Based on the seasonal effects…
South Shore Construction builds permanent docks and seawalls along the southern shore of Long Island, New York. Although the firm has been in business only five years, revenue has increased from $308,000 in the first year of operation to $1,084,000 in the most recent year. The following data show the quarterly sales revenue in thousands of dollars. Quarter Year 1 Year 2 Year 3 Year 4 Year 5 1 20 37 75 92 176 2 100 136 155 202 282 3 175 245 326 384 445 4 13 26 48 82 181 Let Period = 1 refer to the observation in quarter 1 of year 1; Period = 2 refer to the observation in quarter 2 of year 1; ... and Period = 20 refer to the observation in quarter 4 of year 5. Using the dummy variables (Qtr1 = 1 if quarter 1, 0 otherwise; Qtr2 = 1 if quarter 2, 0 otherwise; Qtr3 = 1 if quarter 3, 0 otherwise) and the variable Period, develop an equation to account for seasonal effects and any linear trend in the time series. Estimate MSE using the model…
South Shore Construction builds permanent docks and seawalls along the southern shore of Long Island, New York. Although the firm has been in business only five years, revenue has increased from $304,000 in the first year of operation to $1,094,000 in the most recent year. The following data show the quarterly sales revenue in thousands of dollars. Quarter Year 1 Year 2 Year 3 Year 4 Year 5 1 25 28 68 94 179 2 90 138 151 199 274 3 176 255 324 385 451 4 13 18 42 74 190
Average Tuition and Fees in 2014 Dollars 2000-2015 Academic Year Public 4-year Public 2-year 00-01 $4,837 $2,264 01-02 $5,055 $2,158 02-03 $5,241 $2,214 03-04 $6,018 $2,473 04-05 $6,448 $2,615 05-06 $6,696 $2,660 06-07 $6,795 $2,653 07-08 $7,081 $2,624 08-09 $7,148 $2,580 09-10 $7,825 $2,842 10-11 $8,337 $2,997 11-12 $8,728 $3,135 12-13 $8,991 $3,280 13-14 $9,062 $3,306 14-15 $9,139 $3,347 Tuition and fees at public four-year and public two-year institutions from 2000-2015 are shown in the table and the graph above. Values have been adjusted to 2014 dollars to account for inflation. a. What is the absolute change in tuition and fees at public four-year institutions from 2000-01 to 2014-15? b. Calculate the relative change in tuition and fees at public four-year institutions from 2000-01 to 2014-15. Round to the nearest whole percentage point.
Data: Household Amount Income 1 555 4392 2 489 4562 3 458 4797 4 613 4860 5 647 4860 6 661 4903 7 662 4903 8 675 5095 9 549 5137 10 606 5308…
winning time (minutes)(minutes) year men women 1966 137.18 201.67 1967 135.75 207.28 1968 142.28 210.00 1969 133.82 202.77 1970 130.50 185.12 1971 138.75 188.50 1972 135.65 190.43 1973 136.05 185.98 1974 133.65 167.18 1975 129.92 162.40 1976 140.32 167.17 1977 134.77 168.55 1978 130.22 164.87 1979 129.45 155.25 1980 132.18 154.47 1981 129.43 146.77 1982 128.87 149.55 1983 129.00 142.72 1984 130.57 149.47 1985 134.08 154.10 1986 127.85 144.92 1987 131.83 145.35 1988 128.72 144.50 1989 129.10 144.55 1990 128.32 145.40 1991 131.10 144.30 1992 128.23 143.72 1993 129.55 145.45 1994 127.25 141.75 1995 129.37 145.18 1996 129.25 147.20 1997 130.57 146.38 1998 127.57 143.35 1999 129.87 143.42 2000 129.78 146.18 2001 129.72 143.88 2002 129.03 140.72 2003 130.18 145.32 2004 130.62 144.45 2005 131.73 145.20 2006 127.23 143.63 2007 134.22 149.30 2008 127.75 145.42 2009 128.70 152.27 2010 125.87 146.18 2011…
Cost of Materials 78713 42774 27222 37040 12030 13674 19130 33521 19612 5557 163 314 2622 4219 5357 1061 707 10421 4140 7125 8994 5504 716 8926 11121 2283 364 1813 71 1321 12376 9661 19285 18632 2170 7290 8135 12980 4011 5101 3755 2694 3279 20596 10604 24634 28963 8483 6940 8863 2823 29572 3811 1047 2055 1098 11298 34596 27187 19932 9849 46935 11130 13085 132880 6182 4446 7091 496 3805 7195 57264 1865 163 1682 85 395 255 177 943 3527 4254 2282 1387 1183 17010 565 5432 45696 6913 11184 5735 31892 4696 2790 9364 8720 3527 31527 4909 21531 6232 1689 19273 12954 11858 23474 14343 16515 18543 60857 21819 13897 5523 12657 12578 11065 7621 29591 44486 13398 223639 42367 7760 4363 1674 8120 5476 8760 18028 16787 1020 8114 382 3646 506 6604 1789 997 8530 Value Added by Mfg. 23518 15724 24506 21667 20712 12640 4258 35210 20548 23442 287 1508 624 2471 4307 673 817 8986 3145 4076 3806 4276 1239 9423 11045 1916 599 2063 34 1445 10603 5775 10404 13274 1909 4606 5518 12464 5447 2290 4182 2818 2201…