Consider the following data for a dependent variable y and two independent variables, a1 and a2; for these data SST = 15,182.9, and SSR = 14,052.2. 30 12 94 47 10 108 25 17 112 51 16 178 40 5 94 51 19 175 74 7 170 36 12 117 59 13 142 76 16 211 Round your answers to three decimal places. a. Compute R. b. Compute R.

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Consider the following data for a dependent variable y and two independent variables, a1 and æ2; for these data SST = 15,182.9 , and SSR = 14,052.2.
30
12
94
47
10
108
25
17
112
51
16
178
40
94
51
19
175
74
170
36
12
117
59
13
142
76
16
211
Round your answers to three decimal places.
a. Compute R
b. Compute R .
Transcribed Image Text:Consider the following data for a dependent variable y and two independent variables, a1 and æ2; for these data SST = 15,182.9 , and SSR = 14,052.2. 30 12 94 47 10 108 25 17 112 51 16 178 40 94 51 19 175 74 170 36 12 117 59 13 142 76 16 211 Round your answers to three decimal places. a. Compute R b. Compute R .
Expert Solution
Step 1

Provided information ;

SST=15182.9

SSR=14052.2

sample size(n) =10

number of independent variables(k)=2

Formula :

R2SSRSST

where , SSR : sum of squared regression

             SST : sum of squared total

              R2 : Coefficient of determination

 Ra21-(n-1)(n-k-1)×(1-R2)

where , n= number of observations

             k = number of independent variables

            Ra2 = adjusted R2

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