Data used in Exercise 2.96
AnxietyFormat
A data frame/tibble with 20 observations on two variables
- anxiety
anxiety score before a major math test
- math
math test score
References
Kitchens, L. J. (2003) Basic Statistics and Data Analysis. Pacific Grove, CA: Brooks/Cole, a division of Thomson Learning.
Examples
plot(math ~ anxiety, data = Anxiety, ylab = "score",
main = "Exercise 2.96")
with(data = Anxiety,
cor(math, anxiety)
)
#> [1] -0.8641968
linmod <- lm(math ~ anxiety, data = Anxiety)
abline(linmod, col = "purple")
summary(linmod)
#>
#> Call:
#> lm(formula = math ~ anxiety, data = Anxiety)
#>
#> Residuals:
#> Min 1Q Median 3Q Max
#> -13.4415 -3.6487 0.8147 3.0895 18.8994
#>
#> Coefficients:
#> Estimate Std. Error t value Pr(>|t|)
#> (Intercept) 103.3919 4.6445 22.261 1.50e-14 ***
#> anxiety -2.1219 0.2912 -7.287 9.02e-07 ***
#> ---
#> Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
#>
#> Residual standard error: 8.06 on 18 degrees of freedom
#> Multiple R-squared: 0.7468, Adjusted R-squared: 0.7328
#> F-statistic: 53.1 on 1 and 18 DF, p-value: 9.019e-07
#>