Question

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.

font size decreased by 1 font size increased by 1 Hours spent studying comma xHours spent studying, x

11

22

22

33

55

66

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​(a)

xequals=22

hours

​(b)

xequals=2.52.5

hours

Test​ score, y

3939

4343

5151

4949

6262

6868

​(c)

xequals=1212

hours

​(d)

xequals=4.54.5

hours

Find the regression equation.

ModifyingAbove y with caretyequals=nothing xplus+left parenthesis nothing right parenthesis

​(Round the slope to three decimal places as needed. Round the​ y-intercept to two decimal places as​ needed.)

Answer 1

The statistical software output for this problem is:

Hence,

y = 5.714x + 32