(3) Based on the correlation coefficient for age and the number of cigarettes smoked per week, please explain the relationship between these two variables in plain language.

We took two variables (number of cigarettes smoked per week and number of friends who smoke) to further examine their relationship, and came up with the equation to the trendline as the scatterplot below (y = 33.681x + 1.3326). Based on the above information, please answer the following questions: (4) Based on what you see in this scatterplot, determine which is the independent variable and which is the dependent variable, and explain the purpose of this regression analysis.

(5) Explain in plain language what the slope and the intercept mean respectively in this example.

(6) The R square value is 0.7264, please explain what it means in plain language.

(7) Based on the regression equation given, how many cigarettes would you expect someone to smoke in an average week if they have 4 friends who smoke? Show your calculations and round to a whole number.

(8) Can you also make a prediction for someone with 15 friends that smoke?

(9) Based on the results of the regression analysis, what could be the health implications to people who smoke?

3. You can find a Consumer Price Index (CPI) table of a fictional country 'Ostania' below, and answer the following two questions:(8%) | Year | 2018 | 2019 | 2020 | 2021 | 2022 | | --- | --- | --- | --- | --- | --- | | CPI | 101.3 | 102.1 | 108.5 | 114.2 | 120.4 | (1) Compared to 2020, how much more expensive are consumer goods and services in 2022 in Ostania? Calculate your answer in percentages and round to 2 decimals.

(2) Mr Loid Forger has been living in Ostania since 2020 and has earned €4250 net per month in 2020. In 2022 his salary was €4650 net per month. Has Mr Forger's salary, when adjusted for inflation, increased or decreased in 2022 compare to 2020? By what percentage? Show your calculations! (round to 2 decimals).

4. A metaverse company analyzes the sales situation in 111 years, and determines the relationship between the payment method and the price category of consumers to purchase metaverse goods, and obtains the following joint probability table. | Item | cash | credit card | debit card | | --- | --- | --- | --- | | Below 10,000 yuan | 0.09 | 0.03 | 0.04 | | 10,000--100,000 yuan | 0.05 | 0.21 | 0.18 | | More than 100,000 yuan | 0.03 | 0.23 | 0.14 | Please answer: (15 %) (1) What is the proportion of consumer payments made by using debit cards?

(2) What is the probability that consumers will spend more than 100,000 yuan when they use a credit card to pay for a transaction?

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