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# Determine the regression analysis for safety of vehicles

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Safety researchers, interested in determining whether the occupancy of a vehicle might be related to the speed at which the vehicle is driven, have observed the following speed (mph) measurements from two random samples of vehicles (use data file xr12030)
Driver alone 64 50 71 55 67 61 80 56 59 74
At least one
Passenger 44 52 54 48 69 67 54 57 58 51 62 67

a. What are the null and alternative hypotheses for this rest?
b. Use ANOVA and the 0.025 level of significance in resting the null hypothesis identified in part (a).
c. For each sample, construct he 95% confidence interval for the population mean.

https://brainmass.com/statistics/confidence-interval/determine-regression-analysis-safety-vehicles-209065

#### Solution Summary

The solution provides step by step method for the calculation of regression analysis. Formula for the calculation and interpretations of the results are also included. This solution is attached in an Excel and Word document.

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## Regression Equation and Statistical Methodologies

Using the attached document:

(A) Analyze the above output to determine the regression equation.
(B) What conclusions are possible using the meaning of b0 (intercept) and b1 (regression coefficient) in this problem? (That is, explain the meaning of the coefficients.)
(C) What conclusions are possible using the coefficient of determination (r-squared)?
(D) Calculate the coefficient of correlation. Interpret this value.
(E) Does this data provide significant evidence (a=0.05) that the death rate is associated with the speed limit? Find the p-value and interpret.
(F) Determine the average death rate for a speed limit of 60 miles per hour.
(G) What is the 95% confidence interval for the death rate for a speed limit of 60 miles per hour? What conclusion is possible using this interval?

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