Question

A study was carried out to find when people show up to parties-how late is fashionably late? We asked hosts to record, either by stopwatch or sign-in, when guests arrived. We got detailed data from many parties held last year. The parties vary in size, ranging from small family dinner parties to large end-of- year celebrations. The following is a scatter plot of median arrival time (measured in minutes) against number of guests at each party. The incomplete output for a simple linear regression model is presented below. You may want to complete the output first and then carry out the rest of the exercise. 91 F 41 100 40 Number of Guests Coefficients Least Squares Standard T P-Value 0.000 Parameter Estimate Intercept 39.8 0.4 Statistic Error 2.32 10.06 0.000 Slope Analysis of Variance Sum of Squares 3297.2 P-Value Df Mean Square 3297.2 F- Source Ratio 193.32 Model Residual Total (Corr.) 307. 19 Correlation Coefficient 0.9565 R-squared percent Standard Error of Est. = 25. How many parties were included in this study? a. 20 b. 21 c. 22 d. 23 e. Not enough information is given. 26. Write down the estimated regression equation that can be used to estimate the median arrival time using number of gues a. Estimated median arrival = 0.42+39.8 x (number of guests) b. Estimated median arrival 39.8 + 0.42 x (number of guests) c. Estimated number of guests 0.42+39.8 x (median arrival) d. Estimated number of guests 39.8 +0.42x (median arrival) e. None of the above

Answer 1

ans 25) 20 particles are included in the study

option a is correct

ans 26 ) the estimated regression equation is given by the option b

estimated median arrival = 39.8 + 0.42 *(number of guests )