In​ soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The accompanying table summarizes results from 288 kicks during games among top teams. In the​ table, jump direction indicates which way the goalkeeper​ jumped, where the kick direction is from the perspective of the goalkeeper. Use a 0.01significance level to test the claim that the direction of the kick is independent of the direction of the goalkeeper jump. Do the results support the theory that because the kicks are so​ fast, goalkeepers have no time to​ react, so the directions of their jumps are independent of the directions of the​ kicks?     Goalkeeper Jump     Left Center Right   Kick to Left 51 2 44   Kick to Center 35 13 28   Kick to Right 50 10 55   If : H0​: Jump direction is independent of kick direction. H1​: Jump direction is dependent on kick direction.   ***1. Determine the test statistic. x2 = ____ ***2. Determine the P-value. P-value = ____ Please cleary show answers as "x2 =" and "P-value ="

An office supply company services copiers and tracks how many machines are serviced and the length of time (in minutes) for a service call. The data below for 11 clients is below.   Sum X = 46   Sum Y= 234  Sum XY = 5797       Sum X2 =1180         Sum Y2 =146608     1) Calculate SSYY, SSXX, SSXY   2) Calculate b0, b1   3) Interpret the estimated slope coefficient.

Another measure of central tendency that is rarely used but is easy to calculate is the midrange. It can be found using the formula below. A consumer testing service obtained the mileages (in miles per gallon) shown in the table to the right in five test runs performed with three types of compact cars. Each car manufacturer wants to advertize that its car performed the best in this test. Which of the car manufacturers of cars A, B, and C would prefer to use the midrange statistic in their ads? Explain your reasoning. Midrange= (Maximum data entry) + (Minimum data entry) 2 A 28 33 The manufacturer of (Type an integer or a decimal.) 28 29 35 Car MPG B 32 30 32 25 32 ... C 30 33 24 33 31 would prefer to use the midrange, since their car's midrange of mpg is the of the three models.

Just need help with the last part as my answer is wrong. 115.6329 is also not right.

Here are the world record race times for women in the 10,000-meter run over several years. a) Which is the explanatory variable and which is the response variable? Year Race Time (seconds) 1967 2286.4 b) Make a scatterplot of these data. You do not have to draw the scatterplot for me. Describe what you see (form, direction, 1970 2130.5 1975 2100.4 strength, outliers). 1975 2041.4 c) Write the equation of the regression line for predicting race time from year. 1977 1995.1 1979 1972.5 d) Give the meaning of the slope of your line in terms of race time and year. What are the units of the slope in this problem? 1981 1950.8 1981 1937.2 e) What percent of the observed variation in 1982 1895.3 the race times can be explained by your 1983 1895.0 model? 1983 1887.6 f) Find the residual for the first data point or 1984 1873.8 the list (the 2286.4 seconds from 1967). 1985 1859.4 g) What does this linear model predict for th race time in the year 2075? Do you think 1986 1813.7 this is reasonable?…