Overall Grades 99 92 84 81 73 62 61 Step 1. Find the estimated slope. Round your answer to three decimal places. Answer: Step 2. Find the estimated y-intercept. Round your answer to three decimal places. Answer: Step 3. Substitute the values you found in steps 1 and 2 into the equation for the regression line to find the estimated linear model. According to this model, if the value of the independent variable is increased by one unit, then find the change in the dependent variable 9. Answer: Step 4. Determine if the statement "All points predicted by the linear model fall on the same line" is true or false. A) True B) False Step 5. Determine the value of the dependent variable y at x = 0. A) bo B) b 8464 7056 Student 1 0.5 99 49.5 0.25 9801 Student 2 1.0 92 92.0 1.00 Student 3 2.5 84 210.0 6.25 Student 4 4.0 81 324.0 16.00 6561 Student 5 4.5 73 328.5 20.25 5329 Student 6 5.5 62 341.0 30.25 3844 Student 7 6.0 61 366.0 36.00 3721 Sum 24.0 552 1711.0 110.00 44776 C) x D) y Step 6. Find the value of the coefficient of determination. Round your answer to three decimal places. Answer:

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The table below gives the number of hours spent unsupervised each day as well as the
overall grade averages for seven randomly selected middle school students. Using this data,
consider the equation of the regression line, bo + bx, for predicting the overall grade
average for a middle school student based on the number of hours spent unsupervised each
day. 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.
4.
Hours Unsupervised 0.5 1 2.5 4 4.5 5.5 6
Overall Grades 99 92 84 81 73 62 61
Step 1. Find the estimated slope. Round your answer
to three decimal places.
Answer:
Step 2. Find the estimated y-intercept. Round your answer to three decimal places.
Answer:
Answer:
Step 3. Substitute the values you found in steps 1 and 2 into the equation for the regression
line to find the estimated linear model. According to this model, if the value of the
independent variable is increased by one unit, then find the change in the dependent
variable 9.
ху x²
49.5
0.25
92.0
1.00
X y
Student 1 0.5 99
Student 2 1.0 92
Student 3 2.5 84 210.0
6.25 7056
Student 4 4.0 81 324.0 16,00 6561
Student 5 4.5 73
328.5 20.25 5329
341.0 30.25 3844
Student 6 5.5 62
Student 7 6.0 61 366.0 36.00 3721
Sum 24.0 552 1711.0 110.00 44776
Step 4. Determine if the statement "All points predicted by the linear model fall on the same
line" is true or false.
A) True
B) False
Step 5. Determine the value of the dependent variable y at x = 0.
A) bo
B) b₁
C) x
D) y
Answer:
y²
9801
8464
Step 6. Find the value of the coefficient of determination. Round your answer to three decimal
places.
Transcribed Image Text:The table below gives the number of hours spent unsupervised each day as well as the overall grade averages for seven randomly selected middle school students. Using this data, consider the equation of the regression line, bo + bx, for predicting the overall grade average for a middle school student based on the number of hours spent unsupervised each day. 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. 4. Hours Unsupervised 0.5 1 2.5 4 4.5 5.5 6 Overall Grades 99 92 84 81 73 62 61 Step 1. Find the estimated slope. Round your answer to three decimal places. Answer: Step 2. Find the estimated y-intercept. Round your answer to three decimal places. Answer: Answer: Step 3. Substitute the values you found in steps 1 and 2 into the equation for the regression line to find the estimated linear model. According to this model, if the value of the independent variable is increased by one unit, then find the change in the dependent variable 9. ху x² 49.5 0.25 92.0 1.00 X y Student 1 0.5 99 Student 2 1.0 92 Student 3 2.5 84 210.0 6.25 7056 Student 4 4.0 81 324.0 16,00 6561 Student 5 4.5 73 328.5 20.25 5329 341.0 30.25 3844 Student 6 5.5 62 Student 7 6.0 61 366.0 36.00 3721 Sum 24.0 552 1711.0 110.00 44776 Step 4. Determine if the statement "All points predicted by the linear model fall on the same line" is true or false. A) True B) False Step 5. Determine the value of the dependent variable y at x = 0. A) bo B) b₁ C) x D) y Answer: y² 9801 8464 Step 6. Find the value of the coefficient of determination. Round your answer to three decimal places.
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