Solve the Problem $$a _ { n } = a n + b$$

question 36

Multiple Choice

Solve the problem.
-The paired data below consist of the costs of advertising (in thousands of dollars) and the number of products sold (in thousands) . (i) Use a graphing calculator to fit a linear sequence regression function
$$a _ { n } = a n + b$$
to the data, where $n$ is the cost of advertising (in thousands of dollars) and $a _ { n }$ is number of products sold (in thousands) . (ii) Use this function to estimate the number of products sold if the cost of advertising is $\$ 6000$ .

• A) (i) \(a _ { n } = 2.79 n + 55.8\);
• B) (i) \(a _ { n } = 5.79 n + 94.3\); (ii) \(72.54\) thousand products (ii) \(16,795.8\) products
• C) (i) \(a _ { n } = 3.02 n + 55.8\);
• D) (i) \(a _ { n } = 2.73 n + 34.8\); (ii) \(79.24\) thousand products (ii) \(69.54\) thousand products

---

Definitions:

Cohort Effects

Also called history-graded events, they are events that provide a context for development and also influence it directly. The year of your birth marks your entry into a cohort of peers who accompany you through age-graded developmental changes within the context of a specific set of historical events.

Life-Course Perspective

The view that development is influenced by the intersection of chronological age (life time), family-related (family time), and membership in a birth cohort (historical time).

Developmental Influences

Various factors that impact an individual's growth and maturation across the lifespan, including genetic, environmental, and societal elements.

Historical Events

Significant occurrences in the past that have contributed to the shaping of societies, cultures, and the world at large.