Question

The table below gives the number of hours five randomly selected students spent studying and their corresponding grades. Using this data, consider the equation of the regression line, yˆ=b0+b1x, for predicting the grade that a student will earn based on the number of hours spent studying. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant.

Hours Studying 0 1 2 3 4

Grades 73 79 87 88 97

Step 1 of 6 : Find the estimated slope. Round your answer to three decimal places.

solve all steps

Answer 1

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Answer:

	X	Y	(X-Mx)^2	(Y-My)^2	(X-Mx)(Y-My)
	0	73	4	139.24	23.6
	1	79	1	33.64	5.8
	2	87	0	4.84	0
	3	88	1	10.24	3.2
	4	97	4	148.84	24.4
Mean	2	84.8
Sum	10	424	10	336.8	57

a) Regression model: Y'=b0+b1*X

Slope:

b) Intercept:

c) Regression equation: Y'=73.4+ 5.7*X

d) For every additonal input, output value increases by 5.7 units.

e)X=2

Y'= 73.4+5.7*2= 84.8

f) Coefficient of determination:

Correlation coefficient(r):

Coefficient of determinaiton: