An illustrative example of a multiple regression formula: for Housing Studies students

An illustrative example of a multiple regression formula: for Housing Studies students (information from perplexity.ai)

My question: "Please provide an example of a multiple regression formula for Housing Studies students on the research theme of "5 major factors that influence the middle class couples' confidence to purchase a residential apartment in 2025"."

The reply: "An example of a multiple regression formula for Housing Studies students researching the "5 major factors that influence middle class couples' confidence to purchase a residential apartment in 2025" can be based on the key factors identified in recent studies on apartment purchasing behavior. These major factors often include:

1. Attitude (consumer's positive or negative evaluation)

2. Financial Capacity (ability to afford the apartment)

3. Perceived Quality (perception of the apartment's quality)

4. Subjective Norms (influence of family, friends, and society)

5. Government Policies (impact of housing policies and incentives)

The multiple regression formula would model the confidence to purchase (dependent variable) as a function of these five independent variables:

$$\text{<span style="font-size: medium; text-align: justify;">Confidence to Purchase</span>}<span\; style="font-size:\; medium;\; text-align:\; justify;">=</span>{\mathrm{<span\; style="font-size:\; medium;\; text-align:\; justify;">\beta </span>}}_{\mathrm{<span\; style="font-size:\; medium;\; text-align:\; justify;">0</span>}}<span\; style="font-size:\; medium;\; text-align:\; justify;">+</span>{\mathrm{<span\; style="font-size:\; medium;\; text-align:\; justify;">\beta </span>}}_{\mathrm{<span\; style="font-size:\; medium;\; text-align:\; justify;">1</span>}}<span\; style="font-size:\; medium;\; text-align:\; justify;">\times </span>\text{<span style="font-size: medium; text-align: justify;">Attitude</span>}<span\; style="font-size:\; medium;\; text-align:\; justify;">+</span>{\mathrm{<span\; style="font-size:\; medium;\; text-align:\; justify;">\beta </span>}}_{\mathrm{<span\; style="font-size:\; medium;\; text-align:\; justify;">2</span>}}<span\; style="font-size:\; medium;\; text-align:\; justify;">\times </span>\text{<span style="font-size: medium; text-align: justify;">Financial Capacity</span>}<span\; style="font-size:\; medium;\; text-align:\; justify;">+</span>{\mathrm{<span\; style="font-size:\; medium;\; text-align:\; justify;">\beta </span>}}_{\mathrm{<span\; style="font-size:\; medium;\; text-align:\; justify;">3</span>}}<span\; style="font-size:\; medium;\; text-align:\; justify;">\times </span>\text{<span style="font-size: medium; text-align: justify;">Perceived Quality</span>}<span\; style="font-size:\; medium;\; text-align:\; justify;">+</span>{\mathrm{<span\; style="font-size:\; medium;\; text-align:\; justify;">\beta </span>}}_{\mathrm{<span\; style="font-size:\; medium;\; text-align:\; justify;">4</span>}}<span\; style="font-size:\; medium;\; text-align:\; justify;">\times </span>\text{<span style="font-size: medium; text-align: justify;">Subjective Norms</span>}<span\; style="font-size:\; medium;\; text-align:\; justify;">+</span>{\mathrm{<span\; style="font-size:\; medium;\; text-align:\; justify;">\beta </span>}}_{\mathrm{<span\; style="font-size:\; medium;\; text-align:\; justify;">5</span>}}<span\; style="font-size:\; medium;\; text-align:\; justify;">\times </span>\text{<span style="font-size: medium; text-align: justify;">Government Policies</span>}<span\; style="font-size:\; medium;\; text-align:\; justify;">+</span>\mathrm{<span\; style="font-size:\; medium;\; text-align:\; justify;">\epsilon </span>}$$

Where:

• ${\beta }_0$

  β
  0
   = intercept,

• ${\beta }_1$

  β
  1
   to 
  ${\beta }_5$
   = coefficients representing the influence strength of each factor,

• $\epsilon$

  $\epsilon$ = error term.

This formula allows measurement and analysis of how each factor quantitatively influences middle class couples' confidence to buy apartments in 2025, based on empirical data. This model aligns with findings from recent studies in housing markets that showed these five factors significantly impacting purchase decisions."

A collection of blog notes on using chatgpt for research purpose.