In: Statistics and Probability
Calories x |
150 |
170 |
120 |
120 |
90 |
180 |
170 |
140 |
90 |
110 |
Sodium y |
420 |
470 |
350 |
360 |
270 |
550 |
530 |
460 |
380 |
330 |
State the null and alternative hypotheses in symbols and words
H0 =
Ha =
Calculate the t test statistic. t = _______ Calculate the p-value. _________
Circle the correct conclusion: Reject H0 or Fail to reject H0
Explain your conclusion using real-world language – no statistical terms or symbols.
The hypothesis being tested is:
H0: ρ = 0
Ha: ρ ≠ 0
t = 6.070
p-value = 0.0003
Reject H0
There is a significant relationship between the caloric contents and the sodium contents of beef hot dogs.
r² | 0.822 | |||||
r | 0.906 | |||||
Std. Error | 40.392 | |||||
n | 10 | |||||
k | 1 | |||||
Dep. Var. | y | |||||
ANOVA table | ||||||
Source | SS | df | MS | F | p-value | |
Regression | 60,107.9675 | 1 | 60,107.9675 | 36.84 | .0003 | |
Residual | 13,052.0325 | 8 | 1,631.5041 | |||
Total | 73,160.0000 | 9 | ||||
Regression output | confidence interval | |||||
variables | coefficients | std. error | t (df=8) | p-value | 95% lower | 95% upper |
Intercept | 80.8130 | |||||
x | 2.4715 | 0.4072 | 6.070 | .0003 | 1.5326 | 3.4105 |