Determine the correlation coefficient for the data shown in this table: x 1 8 8 15 14 20 y 42 38 30 20 18 11

Jim and Larry run a soup stand. The data below represents the sales of soup that they had on 8 randomly selected days, along with the high temperature on that day.   a) Create a scatter diagram for this data set and comment on whether there is a positive or negative relationship between these variables.b) Calculate the correlation coefficient between temperature and sales.c) Does a linear relationship exist between these variables? Explain to me why or why not this is the case.d) Using excel, calculate the least squares regression equation for this data set. e) Using your equation, predict the soup sales on a day where the temperature is 29 degrees.f) Interpret the slope of this equation.g) Can we use this data set and regression equation to predict the sales on a day when the average temperature is 102 degrees? Why or why not?h) What is the R-squared for this equation? How do you interpret that R-squared?

Managers rate employees according to job performance and attitude. The results for several randomly selected employees are given below. Does an employee’s attitude affect their job performance?   Performance 59 63 65 69 58 77 76 69 70 64 Attitude 72 67 78 82 75 87 92 83 87 78   Calculate the correlation coefficient, r, and describe the relationship, if any, between the variables   11.659, positive linear 4.837, positive linear 0.863, positive linear 0.745, positive linear 0.0013, positive linear

Find the sample correlation coefficient for the following data.