A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized. ŷ = bo + bịz +bzz? where y = traffic flow in vehicles per hour T= vehicle speed in miles per hour The following data were collected during rush hour for six highways leading out of the city. Traffic Flow (y) Vehicle Speed (2) 1256 36 1329 45 1226 30 1335 45 1349 55 1125 25 a. Use the data to compute the coefficients of this estimated regression equation (to 4 decimals). Enter negative value as negative number. (Create the z variable first using Data/Transform Data/Square.) bo = by = by = b. Using a = 0.01, test for a significant relationship. F = (to 4 decimals) p-value = (to 4 decimals) The relationship - Select your answer - significant. c. Estimate the traffic flow in vehicles per hour at a speed of 38 miles per hour (to 2 decimals). vehicles per hour

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.