The table below gives the number of hours spent unsupervisedeach day as well as the overall grade averages for seven randomlyselected middle school students. Using this data, consider theequation of the regression line, yˆ=b0+b1x, for predicting theoverall grade average for a middle school student based on thenumber of hours spent unsupervised each day. Keep in mind, thecorrelation coefficient may or may not be statistically significantfor the data given. Remember, in practice, it would not beappropriate to use the regression line to make a prediction if thecorrelation coefficient is not statistically significant.
Hours Unsupervised | 1 | 2.5 | 3.5 | 4 | 4.5 | 5 | 6 |
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Overall Grades | 99 | 91 | 79 | 78 | 75 | 73 | 65 |
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Step 1 of 6: Find the estimated slope. Round your answer tothree decimal places.
Step 2 of 6: Find the estimated y-intercept. Round your answerto three decimal places.
Step 3 of 6 : Determine the value of the dependentvariable y^ at x=0 answer choices: b0, b1, x, y
Step 4 of 6 : Determine if thestatement "Not all points predicted by the linear model fall on thesame line" is true or false.
Step 5 of 6 : According to theestimated linear model, if the value of the independent variable isincreased by one unit, then the change in the dependent variable yis given by?
Answer choices: b0, b1, x, y
6 of 6 : Find the value of the coefficient ofdetermination. Round your answer to three decimal places.