The estimated regression equation for a model involving two independent variables and 10 observations follows. ? = 34.5795 + 0.5474x? + 0.7262x? a. Interpret b? and b? in this estimated regression equation. b? = y changes by 0.5474 when x1 increases by 1 unit and x2 stays the same b? = y changes by 0.7262 when x2 increases by 1 unit and x1 stays the same b. Estimate y when x? = 180 and x? = 310 (to 3 decimals).
Added by Jerry C.
Close
Step 1
5795 + 0.547481(180) + 0.726282(310) Then, we calculate: Y = 34.5795 + 98.5466 + 225.1474 Show more…
Show all steps
Your feedback will help us improve your experience
Madhur L and 82 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
The estimated regression equation for a model involving two independent variables and 10 observations follows: Y = 34.5795 + 0.5474X1 + 0.7262X2. a. Interpret b1 and b2 in this estimated regression equation. b1: Y changes by 0.5474 when X1 increases by one unit and X2 stays the same. b2: Y changes by 0.7262 when X2 increases by one unit and X1 stays the same. b. Estimate Y when X1 = 180 and X2 = 310 (to 3 decimals).
David N.
The estimated regression equation for a model involving two independent variables and observations follows y = 33.2521 + 0.7686x1 + 0.3472x2. a. Interpret b1 and b2 in this estimated regression equation (to 4 decimals). b1 = b2 = b. Estimate y when x1 = 180 and x2 = 310 (to 3 decimals).
Madhur L.
Consider the following data for a dependent variable $y$ and two independent variables, $x_{1}$ and $x_{2} .$ $\begin{array}{l}{\text { a. Develop an estimated regression equation relating } y \text { to } x_{1} \text { . Estimate } y \text { if } x_{1}=45 \text { . }} \\ {\text { b. Develop an estimated regression equation relating } y \text { to } x_{2} \text { . Estimate } y \text { if } x_{2}=15 \text { . }} \\ {\text { c. Develop an estimated regression equation relating } y \text { to } x_{1} \text { and } x_{2} . \text { Estimate } y \text { if } x_{1}=45} \\ {\text { and } x_{2}=15 \text { . }}\end{array}$
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD