The table below gives the number of hours spent unsupervised each day as well as

Question

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, y = b_0 + b_1 x, 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 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. Substitute the values you found in step 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 y.

Explanation / Answer

Regression Analysis: y versus x

The regression equation is
y = 102.0 - 5.917 x

Model Summary

Analysis of Variance

y = 102.0 - 5.917 x

when independent variable is changed by 1 unit ,

change in y(dependent variable) is decreased by 5.917 units (see coefficient of x ) {decreased because -ve sign}

Please rate my solution

S R-sq R-sq(adj) 1.20860 98.85% 98.63%

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