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

Respuesta :

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


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