Dataford
Interview QuestionsInterview GuidesExperiencesMock InterviewsPricing
Get started

Evaluate Financial Data with Regression Analysis

MediumStatistics & Probability00:00
Practice interviewer
In session
5 left
00:00

Your question is Evaluate Financial Data with Regression Analysis. Take a moment with it on the right.

Talk me through your thinking if you like. When you're confident, submit your answer and I'll grade it like a real screen (7/10 or better passes).

You need to log in / sign up to chat or submit.

Problem

Business Context

AdVantage, a digital marketing firm, is examining how its advertising expenditures influence sales performance. They have collected data over the past year to analyze this relationship and assess the effectiveness of their marketing strategy.

Problem Statement

AdVantage aims to determine if there is a statistically significant relationship between advertising spend and sales revenue. They want to use linear regression analysis to quantify this relationship and calculate a 95% confidence interval for the slope of the regression line.

Given Data

MonthAdvertising Spend (in $)Sales Revenue (in $)
110,00050,000
215,00060,000
320,00070,000
425,00080,000
530,00090,000
635,00095,000
740,000100,000
845,000110,000
950,000120,000
1055,000125,000
1160,000130,000
1265,000140,000

Requirements

  1. Fit a linear regression model to the data.
  2. Calculate the slope and intercept of the regression line.
  3. Conduct a hypothesis test to determine if the slope is significantly different from zero at the 5% significance level.
  4. Compute the 95% confidence interval for the slope of the regression line.
  5. Interpret the results in the context of AdVantage's marketing strategy.

Assumptions

  • The relationship between advertising spend and sales is linear.
  • The residuals of the regression model are normally distributed and homoscedastic.