Consider the tallowing data for a dependent variable y and two independent varia
ID: 3059712 • Letter: C
Question
Consider the tallowing data for a dependent variable y and two independent variables, x1 and x2 13 10 17 17 29 94 108 112 179 94 175 24 50 5119 13 17 36 60 211 Round your all answers to two decimal places. Enter negative values as negotive numbers, if necessary. HINTi Note that we're only rounding answers, but never our work-in-progress. For instance, we multiply x1 and x2 by the exact slopes, not the rounded values we type in. a. Develop an estimated regression equation relating y to x Predict y if x1-35 b. Devclop an ectimated regression equation relating y to x2. Predict y if X2 = 15. c. Develop an estimated regression equation relating y to xi and x2. xt + Prodict y if xI 35 and x2 15. Check My Work Icon KeyExplanation / Answer
here some Minitab output for Simple Linear Regression
A) Regression y on x1
————— 10/03/2018 06:29:35 AM ————————————————————
Welcome to Minitab, press F1 for help.
Regression Analysis: y versus x1
The regression equation is
y = 48.3 + 1.89 x1
Predictor Coef SE Coef T P
Constant 48.30 24.89 1.94 0.088
x1 1.8892 0.4831 3.91 0.004
S = 25.6473 R-Sq = 65.7% R-Sq(adj) = 61.4%
Analysis of Variance
Source DF SS MS F P
Regression 1 10058 10058 15.29 0.004
Residual Error 8 5262 658
Total 9 15320
To predict y if x1 = 35
The regression equation is
y = 48.3 + 1.89 x1
y = 48.3 + 1.89 * (35)
y = 114.45
B) Regression y on x2
Regression Analysis: y versus x2
The regression equation is
y = 75.7 + 4.82 x2
Predictor Coef SE Coef T P
Constant 75.73 41.09 1.84 0.103
x2 4.819 2.934 1.64 0.139
S = 37.8428 R-Sq = 25.2% R-Sq(adj) = 15.9%
Analysis of Variance
Source DF SS MS F P
Regression 1 3863 3863 2.70 0.139
Residual Error 8 11457 1432
Total 9 15320