Construct a two-way (with interaction) ANOVA table for these data. b. At the 5% significance level, can you conclude there is interaction between income and zonal location
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A researcher wants to understand how an annual mortgage payment (in Ringgit) depends on income level and zonal location allowing for an interaction. The data are shown below.
|
LOW |
MEDIUM |
HIGH |
KOTA KINABALU
|
75 |
165 |
180 |
120 |
180 |
195 |
|
66 |
15 |
189 |
|
90 |
300 |
180 |
|
SANDAKAN
|
210 |
225 |
300 |
255 |
150 |
345 |
|
222 |
162 |
324 |
|
300 |
135 |
480 |
|
TAWAU
|
225 |
225 |
225 |
165 |
210 |
180 |
|
123 |
165 |
237 |
|
120 |
210 |
195 |
|
LAHAD DATU
|
15 |
120 |
177 |
30 |
75 |
90 |
|
30 |
120 |
135 |
|
45 |
105 |
120 |
|
KENINGAU
|
5 |
40 |
59 |
10 |
25 |
30 |
|
10 |
40 |
45 |
|
15 |
35 |
40 |
a. Construct a two-way (with interaction) ANOVA table for these data.
b. At the 5% significance level, can you conclude there is interaction between income and zonal location?
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- A researcher wants to understand how an annual mortgage payment (in Ringgit) depends on income level and zonal location allowing for interaction. The data are shown below: SUMMARY LOW MEDIUM HIGH Total KOTA KINABALU Count 5 5 5 15 Sum 799 959 1020 2778 Average 159.8 191.8 204 185.2 Variance 1151.2 40.7 607.5 886.314286 SANDAKAN Count 5 5 5 15 Sum 1197 1333 1971 4501 Average 239.4 266.6 394.2 300.066667 Variance 5108.8 1918.8 8242.2 9241.92381 TAWAU Count 5 5 5 15 Sum 742 915 1068 2725 Average 148.4 183 213.6 181.666667 Variance 3394.8 10957.5 532.8 5012.95238 LAHAD DATU Count 5 5 5 15 Sum 670 651 806 2127 Average 134 130.2 161.2 141.8 Variance 1480 1181.7 1993.7 1534.31429 KENINGAU Count 5 5 5 15 Sum 98 205 237 540…In the context of a Factorial Design, what is an interaction? What is an example of an interaction?A report provided an overview of the complaints about airlines received by the Department of Transportation. The table below gives the number of complaints received by type of complaint for the years 2014 and 2015. Type of Complaint 2014 Number ofComplaints Received 2015 Number ofComplaints Received Flight Problems 4,404 5,606 Baggage Handling 1,528 2,050 Reservations, Ticketing, Boarding 1,276 1,807 Customer Service 1,101 1,728 Fares 699 1,300 Other 2,257 2,769 Use the given information to estimate the following probabilities. (Round your answers to three decimal places.) c)the probability that two complaints made in 2015 were both about flight problems
- According to the document Consumer Expenditures, a publication of the Bureau of Labor Statistics, the average consumer spent $1736 on apparel and services in the last year. A researcher believes that consumers in the Northeast spent more on average. The researcher sampled 25 consumers in the Northeast and recorded the amount they spent on apparel and services in the last year. The data is listed below: 1279 1457 2020 1682 1273 2223 2233 2192 1611 1734 2688 2029 2166 1860 2444 1844 1765 2267 1522 2012 1990 1751 2113 2202 1712 At the 0.05 level of significance, does the data provide evidence to suggest that consumers in the Northeast spend more on average than the national average reported in the Bureau of Labor Statistics? What is the p-value for this hypothesis test? Round to three decimal places.According to the document Consumer Expenditures, a publication of the Bureau of Labor Statistics, the average consumer spent $1736 on apparel and services in the last year. A researcher believes that consumers in the Northeast spent more on average. The researcher sampled 25 consumers in the Northeast and recorded the amount they spent on apparel and services in the last year. The data is listed below: 1279 1457 2020 1682 1273 2223 2233 2192 1611 1734 2688 2029 2166 1860 2444 1844 1765 2267 1522 2012 1990 1751 2113 2202 1712 At the 0.05 level of significance, does the data provide evidence to suggest that consumers in the Northeast spend more on average than the national average reported in the Bureau of Labor Statistics?According to the document Consumer Expenditures, a publication of the Bureau of Labor Statistics, the average consumer spent $1736 on apparel and services in the last year. A researcher believes that consumers in the Northeast spent more on average. The researcher sampled 25 consumers in the Northeast and recorded the amount they spent on apparel and services in the last year. The data is listed below: 1279 1457 2020 1682 1273 2223 2233 2192 1611 1734 2688 2029 2166 1860 2444 1844 1765 2267 1522 2012 1990 1751 2113 2202 1712 At the 0.05 level of significance, does the data provide evidence to suggest that consumers in the Northeast spend more on average than the national average reported in the Bureau of Labor Statistics? What is the correct conclusion for this test? Question 9 options: Fail to reject the null hypothesis because the p-value is less than the level of significance. Fail to reject the null hypothesis because the…
- According to the document Consumer Expenditures, a publication of the Bureau of Labor Statistics, the average consumer spent $1736 on apparel and services in the last year. A researcher believes that consumers in the Northeast spent more on average. The researcher sampled 25 consumers in the Northeast and recorded the amount they spent on apparel and services in the last year. The data is listed below: 1279 1457 2020 1682 1273 2223 2233 2192 1611 1734 2688 2029 2166 1860 2444 1844 1765 2267 1522 2012 1990 1751 2113 2202 1712 At the 0.05 level of significance, does the data provide evidence to suggest that consumers in the Northeast spend more on average than the national average reported in the Bureau of Labor Statistics? What is the p-value for this hypothesis test? Question 8 options: 0.001 0.004 0.007 0.2223According to the document Consumer Expenditures, a publication of the Bureau of Labor Statistics, the average consumer spent $1736 on apparel and services in the last year. A researcher believes that consumers in the Northeast spent more on average. The researcher sampled 25 consumers in the Northeast and recorded the amount they spent on apparel and services in the last year. The data is listed below: 1279 1457 2020 1682 1273 2223 2233 2192 1611 1734 2688 2029 2166 1860 2444 1844 1765 2267 1522 2012 1990 1751 2113 2202 1712 At the 0.05 level of significance, does the data provide evidence to suggest that consumers in the Northeast spend more on average than the national average reported in the Bureau of Labor Statistics? What is the correct conclusion for this test?Zhanna Butulyan, a consumer analyst collected the following data on the screen sizes of popular LCD televisions sold recently at a large retailer: Manufacturer Screen Price Sharp 46 $1,473.00 Samsung 52 2300 Samsung 46 1790 Sony 40 1250 Sharp 42 1546.5 Samsung 46 1922.5 Samsung 40 1372 Sharp 37 1149.5 Sharp 46 2000 Sony 40 2100 Sony 52 2615 Samsung 32 890.2 Sharp 37 1314.5 Sharp 32 853.5 Sharp 52 2778 Samsung 40 1749.5 Sharp 32 1035 Samsung 52 3100 Sony 40 1954 Sony 52 3210 Sony 46 2701 Sony 46 2899 Sony 52 4100 Samsung 46 1922.5 Samsung 40 1755 Sharp 37 1258 Sharp 46 2210 Samsung 40 785.2 Sharp 41 1500 Sharp 30 855 Sharp 55 3000 Leave your answer in 3 decimal places Find the Regression Equation y= + x
- The Easy Credit Company report the following table representing a breakdown of customers accounting to the amount they owe and whether a cash advance has been made. An auditor randomly selects one of the accounts. Accounts owned by Customers Cash Advance Yes No $0 – 199.99 245 2890 $200 – 399.99 380 1,700 $400 – 599.99 500 1,425 $600 – 799.99 415 940 $800 to 999.99 260 480 $1000 or more 290 475 Total Customers 2,090 7,910 Show your work! What is the probability that a customer received a cash advance? What is the probability that a customer owed less than $200 and received a cash advance? What is the probability that a customer owed less than $200 or received a cash advance? Given that the customer-owned $1000 or more, what is the probability that the customer received a cash advance? Are the events "receiving a cash advance" and "owning $1000 or more" independent? Explain why or why not.Two independent methods of forecasting based on judgment and experience have been prepared each month for the past 10 months. The forecasts and actual sales are as follows: Month Sales Forecast 1 Forecast 2 1 835 790 770 2 845 825 805 3 815 785 830 4 830 825 815 5 770 780 795 6 830 810 796 7 815 810 805 8 855 775 840 9 795 835 795 10 840 820 840 a. Compute the MSE and MAD for each forecast. (Round your answers to 2 decimal places.) b. Compute MAPE for each forecast. (Round your intermediate calculations to 5 decimal places and final answers to 4 decimal places.) c. Prepare a naive forecast for periods 2 through 11 using the given sales data. Compute each of the following; (1) MSE, (2) MAD, (3) tracking signal at month 10, and (4) 2s control limits. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)Anahit Kirakosyan, a consumer analyst collected the following data on the screen sizes of popular LCD televisions sold recently at a large retailer: Manufacturer Screen Price Sharp 46 $1,473.00 Samsung 52 2300 Samsung 46 1790 Sony 40 1250 Sharp 42 1546.5 Samsung 46 1922.5 Samsung 40 1372 Sharp 37 1149.5 Sharp 46 2000 Sony 40 2100 Sony 52 2615 Samsung 32 890.2 Sharp 37 1314.5 Sharp 32 853.5 Sharp 52 2778 Samsung 40 1749.5 Sharp 32 1035 Samsung 52 3100 Sony 40 1908.5 Sony 52 3103 Sony 46 2606 Sony 46 2861 Sony 52 3654 Leave your answer in 3 decimal places The regression equation: y = + x