Find the equation of the regression line for the given data. then construct a scatter plot of the data and draw the regression line. (the pair of variables have a significant correlation.) then use the regression equation to predict the value of y for each of the given x-values, if meaningful. the number of hours 6 students spent for a test and their scores on that test are shown below. x 0 2 3 3 5 6 y 39 46 52 45 62 70
The given data is x: 0 2 3 3 5 6 y: 39 46 52 45 62 70
Use the graphing calculator, Microsoft Excel, or similar software to find the least squares linear regression fit to the data. The fitted data is shown in the graph below.
Answer: The regression line is y = 35.876 + 5.197x
The correlation coefficient of R² indicates that the curve fit is good and reasonably acceptable.
The given data versus predicted values are shown in the following table. The outlier at x = 3 is omitted.
Answer: x y (data) y (predicted) --- ----------- ------------------ 0 39 35.876 2 46 47.470 3 52 53.267 5 62 64.861 6 70 70.658
