Question

In: Statistics and Probability

A researcher collected data on the height (cm) of eight legume plants and the number of...

A researcher collected data on the height (cm) of eight legume plants and the number of flowers on the plant one week after flowering began.

Height (x)

24

26

28

30

32

34

37

39

Number of Flowers (y)

15

21

17

16

20

14

11

19

SUMMARY OUTPUT

Regression Statistics

Multiple R

0.247

R Square

0.061

Adjusted R Square

-0.096

Standard Error

3.492

Observations

8

ANOVA

df

SS

MS

F

Significance F

Regression

1

4.73

4.73

0.388

0.556

Residual

6

73.15

12.19

Total

7

77.88

Coefficients

Standard Error

t Stat

P-value

Lower 95%

Upper 95%

Intercept

21.51

7.94

2.71

0.035

2.081

40.940

X Variable 1

-0.156

0.251

-0.62

0.556

-0.770

0.458

At the 5% significance level, test that the slope (B) is negative. What is the test statistic and what is your conclusion?

a. Do not reject the null hypothesis, slope is equal to 0.

b. Reject the null hypothesis, slope is equal to 0.

c. Do not reject the null hypothesis, slope is negative

d. Reject the null hypothesis, slope is negative.

Solutions

Expert Solution



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