Question

The following model was fitted to a sample of 25 students using data obtained at the end of their freshman year in college. The aim was to explain students' weight gains: $$ y=\beta_0+\beta_1 x_1+\beta_2 x_2+\beta_3 x_3+\varepsilon $$ where $y=$ weight gained, in pounds, during freshman year $x_1=$ average number of meals eaten per week $x_2=$ average number of hours of exercise per week $x_3=$ average number of beers consumed per week The least squares estimates of the regression parameters were as follows: $$ b_0=7.35 \quad b_1=0.653 \quad b_2=-1.345 \quad b_3=0.613 $$ Predict the weight gain for a freshman who eats an average of 20 meals per week, exercises an average of 10 hours per week, and consumes an average of 6 beers per week.

   The following model was fitted to a sample of 25 students using data obtained at the end of their freshman year in college. The aim was to explain students' weight gains:
$$
y=\beta_0+\beta_1 x_1+\beta_2 x_2+\beta_3 x_3+\varepsilon
$$
where
$y=$ weight gained, in pounds, during freshman year
$x_1=$ average number of meals eaten per week
$x_2=$ average number of hours of exercise per week
$x_3=$ average number of beers consumed per week
The least squares estimates of the regression parameters were as follows:
$$
b_0=7.35 \quad b_1=0.653 \quad b_2=-1.345 \quad b_3=0.613
$$
Predict the weight gain for a freshman who eats an average of 20 meals per week, exercises an average of 10 hours per week, and consumes an average of 6 beers per week.
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Statistics for Business and Economics: Global Edition
Statistics for Business and Economics: Global Edition
Newbold P., Carlson… 8th Edition
Chapter 12, Problem 44 ↓

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Step 1

The regression equation is: \[ y = \beta_0 + \beta_1 x_1 + \beta_2 x_2 + \beta_3 x_3 + \varepsilon \] The estimated coefficients (b-values) are: \[ b_0 = 7.35, \quad b_1 = 0.653, \quad b_2 = -1.345, \quad b_3 = 0.613 \]  Show more…

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The following model was fitted to a sample of 25 students using data obtained at the end of their freshman year in college. The aim was to explain students' weight gains: $$ y=\beta_0+\beta_1 x_1+\beta_2 x_2+\beta_3 x_3+\varepsilon $$ where $y=$ weight gained, in pounds, during freshman year $x_1=$ average number of meals eaten per week $x_2=$ average number of hours of exercise per week $x_3=$ average number of beers consumed per week The least squares estimates of the regression parameters were as follows: $$ b_0=7.35 \quad b_1=0.653 \quad b_2=-1.345 \quad b_3=0.613 $$ Predict the weight gain for a freshman who eats an average of 20 meals per week, exercises an average of 10 hours per week, and consumes an average of 6 beers per week.
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