R Linear Model Summary. Based on the R output below, answer the
following:
(a) What can infer about β0 and/or β1 ?
(b) What is the interpretation of R2
. (Non-Adjusted) ? In particular, what does it say about how
“x explains y”
(c) Perform the test (α = 0.05): H0 : ρ = 0.5; Ha : ρ > 0.5
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 0.32632 0.24979 1.306 0.194
x 0.09521 0.01022 9.313 2.93e-15 ***
---
Signif. codes: 0 *** 0.001 ** 0.01 * 0.05 . 0.1 1
Residual standard error: 1.028 on 101 degrees of freedom
Multiple R-squared: 0.462, Adjusted R-squared: 0.4567
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