On average, a bird visits 1,170 flowers per day for nectar.

A member of a student team playing an interactive marketing game received the fol- lowing computer output when studying the rela

nirvana33 [79]

Answer:

$p_v = 2*P(t_{n-2} > |t_{calc}|)= 0.91$

So on this case for the significance level assumed $\alpha=0.05$ we see that $p_v >\alpha$ so then we can conclude that the result is NOT significant. And we don't have enough evidence to reject the null hypothesis.

So on this case is not appropiate say that :"the more we spend on advertising this product, the fewer units we sell" since the slope for this case is not significant.

Step-by-step explanation:

Let's suppose that we have the following linear model:

$y= \beta_o +\beta_1 X$

Where Y is the dependent variable and X the independent variable. $\beta_0$ represent the intercept and $\beta_1$ the slope.

In order to estimate the coefficients $\beta_0 ,\beta_1$ we can use least squares procedure.

If we are interested in analyze if we have a significant relationship between the dependent and the independent variable we can use the following system of hypothesis:

Null Hypothesis: $\beta_1 = 0$

Alternative hypothesis: $\beta_1 \neq 0$

Or in other words we want to check is our slope is significant (X have an effect in the Y variable )

In order to conduct this test we are assuming the following conditions:

a) We have linear relationship between Y and X

b) We have the same probability distribution for the variable Y with the same deviation for each value of the independent variable

c) We assume that the Y values are independent and the distribution of Y is normal

The significance level assumed on this case is $\alpha=0.05$

The standard error for the slope is given by this formula:

$SE_{\beta_1}=\frac{\sqrt{\frac{\sum (y_i -\hat y_i)^2}{n-2}}}{\sqrt{\sum (X_i -\bar X)^2}}$

Th degrees of freedom for a linear regression is given by $df=n-2$ since we need to estimate the value for the slope and the intercept.

In order to test the hypothesis the statistic is given by:

$t=\frac{\hat \beta_1}{SE_{\beta_1}}$

The p value on this case would be given by:

$p_v = 2*P(t_{n-2} > |t_{calc}|)= 0.91$

So on this case for the significance level assumed $\alpha=0.05$ we see that $p_v >\alpha$ so then we can conclude that the result is NOT significant. And we don't have enough evidence to reject the null hypothesis.

So on this case is not appropiate say that :"the more we spend on advertising this product, the fewer units we sell" since the slope for this case is not significant.

3 0

2 years ago

Joe walks on a treadmill at a constant rate. The equation below describes the relationship between t, the time he walks in hours

STALIN [3.7K]

Answer: A

Step-by-step explanation:

CORRECTED QUESTION

Joe walks on a treadmill at a constant rate. The equation d=4t describes the relationship between t, the time he walks in hours, and d, the distance he walks in miles. Which of the graph best describes the relationship?

The equation d=4t is a linear equation.

When t=1, d=4 X 1 =4

When t=2, d=4 X 2 =8

The correct graph that satisfies this pair is A (as seen in the diagram)

4 0

2 years ago

The local pizza shop sells several special items.

Anna35 [415]

Answer:

Tax for Italian Salad=$0.20

Tax for Lasagna= $0.43

Tax for Spaghetti =$0.21

Tax for Fettuccini Alfredo =$0.36

Step-by-step explanation:

Hi, to answer this question we have to multiple the price of each item by the tax percentage in decimal form (divided by 100):

Italian Salad =$3.99

Tax for Italian Salad= 3.99 x (5/100) = 3.99 x 0.05 =$0.20

Lasagna =$8.50

Tax for Lasagna= 8.50 x (5/100) = 8.50 x 0.05 =$0.43

Spaghetti =$4.29

Tax for Spaghetti = 4.29x (5/100) = 4.29 x 0.05 =$0.21

Fettuccini Alfredo =$7.17

Tax for Fettuccini Alfredo = 7.17 x (5/100) = 7.17 x 0.05 =$0.36

Feel free to ask for more if needed or if you did not understand something.

6 0

2 years ago

Read 2 more answers

On a piece of paper, graph y< x-3. Then determine which answer matches<br> the graph you drew

Aneli [31]

Answer:

The graph is shown below.

Step-by-step explanation:

Given:

The inequality of a line to graph is given as:

$y$

In order to graph it, we first make the 'inequality' sign to 'equal to' sign. This gives,

$y=x-3$

Now, we plot this line on a graph. The given line is of the form:

$y=mx+b$ Where, 'm' is the slope and 'b' is the y-intercept.

So, for the line $y=x-3$ , $m=1,b=-3$

The y-intercept is at (0, -3).

In order to draw the line correctly we find another point. Let the 'y' value be 0.

Now, $0=x-3\\x=3$

So, the point is (3, 0).

Now, we mark these points and draw a line passing through these two points.

Now, consider the line inequality $y$ . The 'y' value is less than $x-3$ . So, the solution region will be region below the line and excluding all the points on the line. So, we draw a broken line and shade the region below it.

The graph is shown below.

5 0

2 years ago

Please please help me!!!!!

N76 [4]

The 4 marked x is 10 times greater than the 4 marked y. That is because it is one place in front of the other 4, making it 10 times greater. If you need any help with understand this, please let me know and I will further assist you on this question! Hope I was able to help.

6 0

2 years ago

On​ average, a bird visits 1,170 flowers per day for nectar.

On average, a bird visits 1,170 flowers per day for nectar.