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 fine for predicting the overall grade average for a middle school student based on the number of hours spent unsupervised each day. Regression Line y cap = b_0 + b_1 x Determine if the statement "Not all points predicted by the linear model fall on the same line" is true or false. (You can use the step 1 and step 2 to estimate the linear model.) True False

Explanation / Answer

y=grade

x=hour

the estimated regression equation is given as ( using software)

y=94.2 - 4.48 x

predicted/estimated points fall on the line y=94.2 - 4.48x

so answer would be FALSE

hours=x grade=y estimated y=94.2 - 4.48x 0 95 94.2 0.5 92 91.96 1 85 89.72 3.5 83 78.52 4 81 76.28 5 73 71.8 5.5 63 69.56

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