For a few minutes talk to one or more classmates about their opinion on the statement below. You can stand up and walk around. Consider the predicted amount for car insurance premium to be premium = 210 - 2.50(years) QUESTIONS: \begin{itemize} \item What is the meaning (in context) of the slope in this equation? \item Predict the premium after 4 years. \end{itemize}
Added by Terri J.
Close
Step 1
Step 1: The equation is in the form of y = mx + c, where m is the slope and c is the y-intercept. Show more…
Show all steps
Your feedback will help us improve your experience
Adi S and 93 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Adi S.
A random sample of eight drivers insured with a company and having similar auto insurance policies was selected. The following table lists their driving experiences (in years) and monthly auto insurance premiums. Monthly auto insurance premium: $64, $87, $50, $71, $44, $56, $42, $60. Driving experience (years): 5, 2, 12, 9, 15, 6, 25, 16. a. Does the insurance premium depend on the driving experience or does the driving experience depend on the insurance premium? Do you expect a positive or a negative relationship between these two variables? 2 Marks b. Plot the scatter diagram by choosing appropriate dependent and independent variables based on your answer in part a. 4 Marks c. Calculate r and r^2 and explain what they mean. 6 Marks d. Find the least squares regression line 6 Marks e. Predict the monthly auto insurance premium for a driver with 10 years of driving experience. 2 Marks f. Test at the 5% significance level whether B is negative. 5 Marks
Sheryl E.
A random sample of eight auto drivers insured with a company and having similar auto insurance policies was selected. The following table lists their driving experience (in years) and the monthly auto insurance premium (in dollars). Driving Experience (years): 5, 2, 12, 9, 15, 6, 25, 16 Monthly Premium (dollars): 64, 87, 50, 71, 44, 56, 42, 60 Answer the following questions: (a) Does the insurance premium depend on driving experience or does the driving experience depend on insurance premium? Do you expect a positive or a negative relationship between these two variables? Part of a statistical software output is the following. The regression equation is premium = 76.7 - 1.55 years Predictor Coef Stdev t-ratio P Constant 76.660 6.961 11.01 0.000 years -1.5476 0.5270 -2.94 0.026 s = 10.32 R-sq = 59.0% (b) Plot the scatter diagram and the regression line. (c) What does the intercept, ̠₀, mean in the context of this problem? (d) Construct a 95% confidence interval for the intercept, ̠₀. (e) What does the slope, ̠₁, mean in the context of the problem? What is the implication for the relationship of the premium and the years of driving experience when ̠₁ = 0? (f) Test H₀ : ̠₁ = 0, versus H₁ : ̠₁ ≠ 0 at 1% siginificance level based on i) T-test statistic ii) on P-value. (g) What is the estimate for σ, the standard deviation of the error? (h) What is the value of the correlation coefficient, r? Is the linear relationship between the price and the age strong? Tell why. (i) Predict the monthly auto insurance premium for a driver with 10 years of driving experience.
Kirsty G.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD