Find text or tools Use the information provided below to answer questions 24-25. INFORMATION The times series graph below shows information about the quarterly number of tourists from the European Union (EU) to vh Africa over the 2021-2023 period. The underlying trend line indicated by the dotted line is defined by the equation, y 703x-176 577. Time ones graph of quarterly number of tourists for EU to South 40000 REANDDIC 300000 2240 2010 200000 150000 18390 1000 0 2 --T Arica (2021-2023) 12920 30000 2013 8 10 1999 18 QUESTION 24 (4 marks) Using data from the graph, estimate the mean seasonal variation (or average seasonal effect) for quarter 4 (Q4) and use it to predict the number of tourists from the EU expected to visit South Africa in quarter 4 of 2024. A. The mean seasonal variation is -25 000; the number of tourists from the EU expected to visit South Africa in quarter 4 of 2024 is 322 825. B. The mean seasonal variation is 25 000, the number of tourists from the EU expected to visit South Africa in quarter 4 of 2024 is 332 825. C. The mean seasonal variation is 25 000; the number of tourists from the EU expected to visit South Africa in quarter 4 of 2024 is 312 825. D. The mean seasonal variation is -25 000, the number of tourists from the EU expected to visit South Africa in quarter 4 of 2024 is 372 825. QUESTION 25 (4 marks) The data utilised for the 3-Month Moving Average Forecasting in the table below represents the number of EU tourists who visited South Africa during the twelve quarters of the 2021-2023 period, extracted from the time series graph provided above. Quarter Actual number of EU tourists to South Africa Year 3-Month Moving Average Forecasts of the number of EU tourists Absolute Deviation 2021 Q1 183 160 2021 Q2 224 510 2021 Q3 234 360 2021 Q4 194 389 214 010 19621 2022 Q1 182 900 217 753 34 853 2022 Q2 234 880 W Y 2022 Q3 269 530 204 056 65 474 2022 Q4 237 201 229 103 8 098 2023 Q1 264 970 247 204 17 766 2023 Q2 321 000 x Z 2023 Q3 331 200 274 390 56 810 2023 Q4 280 013 305 723 25 710

A professor went to a website for rating professors and looked up the quality rating and also the "easiness" of the six full-time professors in one department. The ratings are 1 (lowest quality) to 5 (highest quality) and 1 (hardest) to 5 (easiest). The numbers given are averages for each professor. Assume the trend is linear, find the correlation, and comment on what it means. Calculate the correlation. r = (Round to three decimal places as needed.) Comment on the meaning of the correlation. Choose the correct interpretation below. OA. The professors that have high easiness scores tend to also have low quality scores.. OB. Being "easy" as a professor causes students to regard the professor as having a higher quality. OC. The professors that have high easiness scores tend to also have high quality scores. OD. Being "easy" as a professor causes students to regard the professor as having a lower quality. Quality Easiness D 4.7 3.7 4.7 3.1 4.2 3.5 4.2 2.6 3.9 1.9 3.5 1.8

Would it be OK to use the line to predict the age of the wife if the husband is 80 years old? Explain your answer.

The table gives information about the number of people staying in a hotel each quarter in 2020 and in 2021.Calculate the 4-point moving averages for this information. year 2020       2021       quarter 1 2 3 4 1 2 3 4 people 261 353 372 290 193 309 292 202

Given the graph below, what type of correlation would you predict there is between the variables? CAR PRICE DEPENDING ON AGE Price (dollars) 10000 9000 8000 7000 6000 5000 4000 3000 2000 1000- 4. 10 Age (years) O Positive correlation O Negative correlation O No correlation

The data in the relative frequency bar graph below represents the number of stars earned by 140 performers in a talent competition.How many performers earned exactly 5 stars? Be careful - compare the question wording to the scale on the y-axis of the graph. Notice it says "percentage of performers"

Plot the scatterplots and predicted trendlines. Observe the role and effects of SCALE,R Square,slope, p-value.                                      " Normal babies" patient set                            apgar score d1                      apgar score d2                                             1 1 1.1 2 2 2.2 3 3 3.3 4 4 4.4 5 5 5.5 6 6 6.6 7 7 7.7 8 8 8.8 9 9 9.9

The graph below displays a fire department's response Which interval contains the median response time? time, which measures the time from when the alarm is O 40-50 seconds sounded at the firehouse to the time the first fire engine leaves the station. 50-60 seconds 60–70 seconds Fire Department Response Times O 70-80 seconds 0.4 0.3 0.2 0.1 10 20 30 40 50 60 70 80 90 Response Time (Seconds). Relative Frequency

Quarter 1 2 3 4 66 106 140 82 73 119 165 91 2020 85 130 205 100 Table shows UK sales of a particular model of car over three years (figures in 100,000 units) a)Use the technique of moving averages to find values for the trend component (T). b)Plot the original data and your trend values on a scatter diagram. 2018 2019

Which trend line best represents the data in the scatter plot? Line A Line B or Line C?