The output below was generated from the analysis of a balanced 2x3 factorial experiment (Ais qualitative and 13 eis quantitative) using the model Yau+A B (AB+ Source DF Sum of LSMEAN 66.00 73.33 Squares Mean Square F Value PrF Madet 5 0.5 0.10 3273.17 Error 654.63 20.61 <0001 12 265 33 Corrected Total 22.11 87.33 17 3538 50 020 99.67 0.15 99.33 Source DFType ii ss Mein Square FValue P 99.33 1020 2568.06 116.14 <0001 7.76 0.0069 8.19 0.0057 2568.06 343.00 171.50 AB 362.11 181.06 a N= b. What hypothesis is tested by the computed F-value 29.617 C. vwhat proportion of the total variability in the Y's is explained by the model with both main effects and interaction? mndel (the model that does not include

A least squares regression was used to estimate the relationship between the dollar price P of 45 used 2001 Audi A4 2.8L sedans with manual transmission and the number of miles M the car had been driven: R = 0.70 P = 16,958 – 0.0677M, (2,553) (0.0233) The standard errors are in parentheses. a. Does the value 16,958 seem reasonable? b. Does the value –0.0677 seem reasonable? c. Does the value 0.70 seem reasonable? d. Is the estimated relationship between M and P statistically significant at the 5 percent level? e. Should the riables be reversed, wi M on the left-hand side and P on the right- hand side? Why or why not?

NA elered to in this question were collected on 16 commercial tires. The company is trying to measure tread wear t c tires using the weight method WM. The SAS regression output is given below as well as some summary measures: Analysis of Variance Sum of Source DF Mean Square F Value Pr > F Squares Model 84988 84988 It| Estimate Error Intercept 1 13.50586 21.04761 0.64 0.5314 WM 1 0.79021 0.07104 11.12 <0.0001 What is the equation of the least squares regression line? O9-0.79021 WM+ 13.50586 09.13.50586 WM + 0.79021 09-0.79021+13.50586 09-0.79021 WM 13.50586

Compute the predicted value of IPT for the mean value of PSS (static facial expressions (higher PSS)) The regression formula is: The terms of the equation and their values are: