An experiment was conducted to investigate the effect of extrusion pressure (P) and temperature at extrusion (T) on the strength y of a new type of plastic. Two plastic specimens were prepared for each of five combinations of five combinations of pressure and temperature. The specimens were then tested in a random order and the breaking strength for each specimen was recorded. The independent variables were coded (transformed) as follows to simplify the calculations: x1 = (P-200)/10, x2 = (T-400)/25. The n=10 data points are listed in the table:y X1 X25.2 -2 25 -2 20.3 -1 -1-0.1 -1 -1-1.2 0 -2-1.1 0 -22.2 1 -12 1 -16.2 2 26.1 2 2(a) Find the least-squares prediction equation of the form y=β0 + β1x1 + β2x2 + ε. Interpret the β estimates.(b) Find SSE, s2, and s. Interpret the value of s.(c) Does the model contribute information for the prediction of y? Test using α=0.05.(d) Find a 90% confidence interval for the mean strength of the plastic for x1=-2 and x2=2.

Weekly wages at a certain factory are normally distributed with a mean of $400 and a standard deviation of $50. find the probability that a worker selected at random makes between $450 and $500

1. the manager of collins import autos believes the number of cars sold in a day (q) depends on two factors: (1) the number of hours the dealership is open (h) and (2) the number of salespersons working that day (s). after collecting data for two months (53 days), the manager estimates the following log-linear model: q 4 equation 1 a. explain, how to transform the log-linear model into linear form that can be estimated using multiple regression analysis. the computer output for the multiple regression analysis is shown below: q4 table b. how do you interpret coefficients b and c? if the dealership increases the number of salespersons by 20%, what will be the percentage increase in daily sales? c. test the overall model for statistical significance at the 5% significance level. d. what percent of the total variation in daily auto sales is explained by this equation? what could you suggest to increase this percentage? e. test the intercept for statistical significance at the 5% level of significance. if h and s both equal 0, are sales expected to be 0? explain why or why not? f. test the estimated coefficient b for statistical significance. if the dealership decreases its hours of operation by 10%, what is the expected impact on daily sales?

An airplane is taking off headed due north with an air speed of 173 miles per hour at an angle of 18° relative to the horizontal. the wind is blowing with a velocity of 42 miles per hour at an angle of s47°e. find a vector that represents the resultant velocity of the plane relative to the point of takeoff. let i point east, j point north, and k point up.