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.

Expert Solution

orchestra answered 2 years ago

A researcher interested in the link between video games and aggression collected data on the number...

A researcher interested in the link between video games and aggression collected data on the number of hours spent playing violent games per week (Independent) and number of aggressive acts per week (Dependent) for a sample of 8 adolescents a) Use the 5-step model to determine whether there is a statistically significant correlation between hours spent playing video games per week and average number of aggressive acts per week. The test statistic: r = 0.741. Set alpha at .05. b)...

An inbred strain of plants has a mean height of 48 cm. A second strain of...

An inbred strain of plants has a mean height of 48 cm. A second strain of the same species has a mean height of 57 cm. When plants from the two strains are crossed together, all the plants in the F1 generation is 52.5 cm tall. On the other hand, crossing two F1 plants provides a wide range of different heights in the F2 generation: Most of the plants are the same height as the F1 generation plants, while fewest...

The following data was collected on the height (inches) and weight (pounds) of women swimmers. Height...

The following data was collected on the height (inches) and weight (pounds) of women swimmers. Height Weight 68 132 64 108 62 102 65 115 66 128 Provide a regression analysis from the height and weight data. SUMMARY OUTPUT Regression Statistics Multiple R 0.9603 R Square 0.9223 Adjusted R Square 0.8963 Standard Error 4.1231 Observations 5 ANOVA df SS MS F Significance F Regression 1 605 605 35.5882 0.0094 Residual 3 51 17 Total 4 656 Coefficients Standard Error t...

This same researcher collected at random one child from each of the eight families in which...

This same researcher collected at random one child from each of the eight families in which there was at least one child. She recorded the following data to study the effects of number of siblings (X) on happiness of the child (Y), measured on an interval scale in which low scores indicate a low level of happiness and high scores indicate a high level of happiness: X Y 1 5 0 3 2 4 ...

The data below collected for the number of at bats and the number of hits in...

The data below collected for the number of at bats and the number of hits in the world series: Subject At Bats Hits A 51 19 B 67 25 C 77 30 D 44 20 E 55 23 F 39 16 G 45 18 1. Draw a scatterplot (10 points) 2. Find the correlation coefficient r (45 points) 3. Find the equation of the regression line and graph the equation on the scatterplot (35 points) 4. How many hits...

Below is data that a researcher collected on the observed decay of a chemical in water...

Below is data that a researcher collected on the observed decay of a chemical in water as a function of time. The Researcher used an analytically technique to quantify the chemical that reports relative “peak area” or “response” values. As a result, the researcher analyzed a series of known “standards” of chemical “A” to construct a standard curve, from which the concentrations of “A” in the experimental samples could be calculated. It is known that the chemical decays by a...

3. The following data represents data collected by a social researcher to examine the relationship between...

3. The following data represents data collected by a social researcher to examine the relationship between “HAPPINESS” and “INCOME PER YEAR for workers 30 to 40 years old living on Long Island, NY. Each worker completed a personality inventory scale that yields an HAPPINESS LEVEL Scale Value(1 is LOW and 5 HIGH) and reported their respective yearly INCOME. HAPPINESS LEVEL 3 1 3 4 3 2 5 1 3 4 2 4 5 3 4 5 4 4 5 2...

In a recent college statistics class, data was collected on each student's height and their shoe...

In a recent college statistics class, data was collected on each student's height and their shoe size. The first three tables of the regression output are below the conclusions. Please agree or disagree with the conclusions and, of course, state your statistical reasoning. There is sufficient evidence to believe that a statistically significant relationship exists between a student's height and his/her shoe size. About 80% of the variation in shoe size is determined by the variation in height. For each change...

Using the data we collected in class about weight and height, find the following:

Using the data we collected in class about weight and height, find the following: weight = c(130, 220, 180, 170, 135, 120, 200, 208, 210, 180, 110)height = c(5,6,6.2,7.8,5.5,5.3,5.5,6.2,5.8,6.8,4.9) a. Using height as the dependent variable and weight as the independent test if height is positively correlated with weight. What is the null hypothesis and the alternative hypothesis? b. Provide the p-value.c. Conclude this analysis, is this test statistically significant, justify your answer?d. Provide your R coding

Is there a relationship between handedness and gender? A researcher collected the following data in hopes...

Is there a relationship between handedness and gender? A researcher collected the following data in hopes of discovering if handedness and gender are independent (Ambidextrous individuals were excluded from the study). Use the Chi-Square test for independence to explore this at a level of significance of 0.05. Left-Handed Right-Handed Men 13 22 Women 27 18

Question