MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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The table below gives the number of hours five randomly selected students spent studying and their corresponding midterm exam grades. Using this data, consider the equation of the regression line, y^=b0+b1x, for predicting the midterm exam 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 1 2 4 5 6
Midterm Grades 67 68 70 79 87
Summation Table
  x y xy x2 y2
Student 1 1 67 67 1 4489
Student 2 2 68 136 4 4624
Student 3 4 70 280 16 4900
Student 4 5 79 395 25 6241
Student 5 6 87 522 36 7569
Sum 18 371 1400 82 27823
Step 1 of 6:

Find the estimated slope. Round your answer to three decimal places.

Step 2 of 6:

Find the estimated y-intercept. Round your answer to three decimal places.

Step 3 of 6:

Find the estimated value of y when x=4. Round your answer to three decimal places.

Step 4 of 6:

Determine the value of the dependent variable y^ at x=0.

Step 5 of 6:

Determine if the statement "Not all points predicted by the linear model fall on the same line" is true or false.

Step 6 of 6:

Find the value of the coefficient of determination. Round your answer to three decimal places.

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