1 (part 2). Does When Food Is Eaten Affect Weight Gain?A study was introduced that examined the effect of light at night on weight gain in mice. In the full study of 27 mice over a four-week period, the mice who had a light on at night gained significantly more weight than the mice with darkness at night, despite eating the same number of calories and exercising the same amount. Researchers noticed that the mice with light at night ate a greater percentage of their calories during the day (when mice are supposed to be sleeping). The computer output shown below allows us to examine the relationship between percent of calories eaten during the day, DayPct, and body mass gain in grams, BMGain. A scatterplot with regression line is also shown below (attached image).Pearson correlation of BMGain and DayPct =0.740P-Value =0.000--------------------------------------------------------------The regression equation isBMGain=1.11+0.127DayPct Predictor Coef SE Coef T P Constant 1.113 1.382 0.81 0.428 DayPct 0.12727 0.02315 5.50 0.000 S=2.23097 R-Sq=54.7% R-Sq(adj)=52.9% (a) What is the estimated slope in this regression model? Round your answer to three decimal places. Interpret the slope in context (multiple choice): 1. It gives the value of BMGain when the DayPct value is zero. 2. It gives the predicted change in DayPct given a one-unit increase in BMGain. 3. It gives the predicted change in BMGain given a one-unit increase in DayPct. 4. It gives the strength of a linear association between the two variables. b) What is the p-value for a test of the slope? c) What is R2?
1 (part 2). Does When Food Is Eaten Affect Weight Gain?
A study was introduced that examined the effect of light at night on weight gain in mice. In the full study of 27 mice over a four-week period, the mice who had a light on at night gained significantly more weight than the mice with darkness at night, despite eating the same number of calories and exercising the same amount. Researchers noticed that the mice with light at night ate a greater percentage of their calories during the day (when mice are supposed to be sleeping). The computer output shown below allows us to examine the relationship between percent of calories eaten during the day, DayPct, and body mass gain in grams, BMGain. A
Pearson
P-Value =0.000
--------------------------------------------------------------
The regression equation is
BMGain=1.11+0.127DayPct
| Predictor | Coef | SE Coef | T | P |
|---|---|---|---|---|
| Constant | 1.113 | 1.382 | 0.81 | 0.428 |
| DayPct | 0.12727 | 0.02315 | 5.50 | 0.000 |
| S=2.23097 | R-Sq=54.7% | R-Sq(adj)=52.9% |
(a) What is the estimated slope in this regression model? Round your answer to three decimal places.
Interpret the slope in context (multiple choice):
1. It gives the value of BMGain when the DayPct value is zero.
2. It gives the predicted change in DayPct given a one-unit increase in BMGain.
3. It gives the predicted change in BMGain given a one-unit increase in DayPct.
4. It gives the strength of a linear association between the two variables.
b) What is the p-value for a test of the slope?
c) What is R2?
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