Apolice department wants to find out if a correlation exists between x = the number of muggings per night during warmer nights in a particular park not far from downtown and y = degrees fahrenheit. this is to decide how police duties should be allocated on these nights. some data points for some nights from the spring and summer of the past year are listed below. x: {5,7,8,4,11,12,8,7} y: {79,82,83,81,86,89,91,84,} compute the coefficient of correlation r. compute the coefficient of determination r^2. what percentage of the variation in y can be explained by the corresponding variation in x using the least-squares line? what percentage of the variation is unexplained?

Consider the table below. x y -1 -5 0 5 1 11 2 13 3 11 complete the standard form equation representing the quadratic relationship displayed above, where a, b, and c are constants.

A. what does the point (4, 122) represent? b. what is the unit rate? c. what is the cost of buying 10 tickets?

After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. you notice the rainbow is the shape of a parabola. the equation for this parabola is y = -x2 + 36. graph of a parabola opening down at the vertex 0 comma 36 crossing the x–axis at negative 6 comma 0 and 6 comma 0. in the distance, an airplane is taking off. as it ascends during take-off, it makes a slanted line that cuts through the rainbow at two points. create a table of at least four values for the function that includes two points of intersection between the airplane and the rainbow. analyze the two functions. answer the following reflection questions in complete sentences. what is the domain and range of the rainbow? explain what the domain and range represent. do all of the values make sense in this situation? why or why not? what are the x- and y-intercepts of the rainbow? explain what each intercept represents. is the linear function you created with your table positive or negative? explain. what are the solutions or solution to the system of equations created? explain what it or they represent. create your own piecewise function with at least two functions. explain, using complete sentences, the steps for graphing the function. graph the function by hand or using a graphing software of your choice (remember to submit the graph).