I ran a linear regression on my experiment, where people got a dose of placebo, low dose, or high dose of a happy drug. The outcome variable was their mood, and we also measured their romantic partner's mood, both rated on a scale of 1 to 100. Here are the results: Call: 1m (formula = mood ~ dose + partner_mood + dose * partner_mood, data = happy) Residuals: Min 1Q Median -32.837 -6.274 -1.201 Coefficients: (Intercept) doselow dose dosehigh dose partner_mood Estimate Std. Error t value Pr(>|t|) 4.4156 0.400 0.69279 11.0425 16.7877 1.016 0.31973 17.0575 48.8585 1.5260 doselow dose: partner_mood 0.1147 dosehigh dose:partner_mood -1.9635 Max 3Q 6.299 39.351 --- Signif. codes: 0 *** 0.001 1**/ 13.3292 3.666 0.5343 2.856 0.8681 0.132 0.7686 -2.554 0.01 * 0.05 . 0.1 0.00122 ** 0.00872 ** 0.89594 0.01740 * Residual standard error: 15.63 on 24 degrees of freedom Multiple R-squared: 0.4717, Adjusted R-squared: 0.3617 F-statistic: 4.286 on 5 and 24 DF, p-value: 0.006295 1 7. What is the general regression equation for this model? 8. What is the regression equation for someone on the placebo? 9. What is the regression equation for someone on the low dose? 10. What is the regression equation for someone on the high dose?
I ran a linear regression on my experiment, where people got a dose of placebo, low dose, or high dose of a happy drug. The outcome variable was their mood, and we also measured their romantic partner's mood, both rated on a scale of 1 to 100. Here are the results: Call: 1m (formula = mood ~ dose + partner_mood + dose * partner_mood, data = happy) Residuals: Min 1Q Median -32.837 -6.274 -1.201 Coefficients: (Intercept) doselow dose dosehigh dose partner_mood Estimate Std. Error t value Pr(>|t|) 4.4156 0.400 0.69279 11.0425 16.7877 1.016 0.31973 17.0575 48.8585 1.5260 doselow dose: partner_mood 0.1147 dosehigh dose:partner_mood -1.9635 Max 3Q 6.299 39.351 --- Signif. codes: 0 *** 0.001 1**/ 13.3292 3.666 0.5343 2.856 0.8681 0.132 0.7686 -2.554 0.01 * 0.05 . 0.1 0.00122 ** 0.00872 ** 0.89594 0.01740 * Residual standard error: 15.63 on 24 degrees of freedom Multiple R-squared: 0.4717, Adjusted R-squared: 0.3617 F-statistic: 4.286 on 5 and 24 DF, p-value: 0.006295 1 7. What is the general regression equation for this model? 8. What is the regression equation for someone on the placebo? 9. What is the regression equation for someone on the low dose? 10. What is the regression equation for someone on the high dose?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:I ran a linear regression on my experiment, where people got a dose of placebo,
low dose, or high dose of a happy drug. The outcome variable was their mood,
and we also measured their romantic partner's mood, both rated on a scale of 1
to 100.
Here are the results:
Call:
1m (formula = mood dose
data = happy)
Residuals:
Min
-32.837 - 6.274
Coefficients:
1Q Median
-1.201
(Intercept)
doselow dose
dosehigh dose
partner_mood
doselow dose:partner_mood
dosehigh dose:partner_mood
Signif. codes:
partner_mood + dose * partner_mood,
Max
3Q
6.299 39.351
Estimate Std. Error t value Pr(>|t|)
4.4156
11.0425
0.400 0.69279
17.0575
16.7877
1.016
0.31973
48.8585
13.3292 3.666
0.00122 **
1.5260
0.5343 2.856
0.00872 **
0.1147
-1.9635
0 *** 0.001 ** 0.01
0.8681 0.132 0.89594
0.7686 -2.554 0.01740 *
1 X/ 0.05. 0.1 V
Residual standard error: 15.63 on 24 degrees of freedom
Multiple R-squared: 0.4717, Adjusted R-squared: 0.3617
F-statistic: 4.286 on 5 and 24 DF, p-value: 0.006295
1
7. What is the general regression equation for this model?
8. What is the regression equation for someone on the placebo?
9. What is the regression equation for someone on the low dose?
10. What is the regression equation for someone on the high dose?
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