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vovangra [49]
3 years ago
10

A random sample of 100 cars was taken and data were recorded on the miles per gallon (mpg) in the city and on the highway. The m

ean city mpg was 28 with a standard deviation of 9.2. The mean highway mpg was 35 with a standard deviation of 8.6. The correlation coefficient between city mpg and highway mpg is 0.95. Although a scatterplot is not show, it has been determined that a linear equation is appropriate for the data. Determine the correct value of the slope for the linear model that predicts highway mpg based on city mpg and interpret it in context.
Mathematics
1 answer:
Anastaziya [24]3 years ago
6 0

Answer:

0.89

Step-by-step explanation:

Nunber of samples = 100

City mpg :

Mean = 28

Standard deviation =9.2

Highway mpg:

Mean = 35

Standard deviation = 8.6

correlation Coefficient (r) between city mpg and highway mpg = 0.95.

The value of the slope of the regression line that predicts highway mpg based on city mpg can be obtained by:

(Standard deviation of highway mgp / standard deviation of city mpg) × correlation Coefficient

Slope = (8.6 / 9.2) × 0.95

Slope = (0.934782 × 0.95) = 0.8880

Slope = 0.89 ( two decimal place)

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it takes four jars of in to record the store's inventory for 12 weeks at that rate how many jars of ink do you need to keep trac
11Alexandr11 [23.1K]

Answer:

11

Step-by-step explanation:

So every 12 weeks there are 4 jars right? right.

1.) Divide 33 by 12 and you will get 2.75

2.) Then multiply 2.75 by 4 and you will get 11!

The problem is a bit hard to understand but I hope I answer your question correctly! Have a great day! :)

4 0
2 years ago
A study of 10 different weight loss programs involved 500 subjects. Each of the 10 programs had 50 subjects in it. The subjects
Yakvenalex [24]

Answer:

a) (iii) ANOVA

b) The ANOVA test is more powerful than the t test when we want to compare group of means.

Step-by-step explanation:

Previous concepts

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"

If we assume that we have p=10 groups and on each group from j=1,\dots,p=10 we have n_j individuals on each group we can define the following formulas of variation:  

SS_{total}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x)^2

SS_{between}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2

SS_{within}=SS_{error}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x_j)^2

And we have this property

SST=SS_{between}+SS_{within}

Solution to the problem

Part a

(i) confidence interval

False since the confidence interval work just when we have just on parameter of interest, but for this case we have more than 1.

(ii) t-test

Can be a possibility but is not the best method since every time that we conduct a t-test we have a chance that we commit a Type I error.

(iii) ANOVA

This one is the best method when we want to compare more than 1 group of means.

(iv) Chi square

False for this case we don't want to analyze independence or goodness of fit, so this one is not the correct test.

Part b

The ANOVA test is more powerful than the t test when we want to compare  group of means.

8 0
3 years ago
I need help ASAP!!!!!!
swat32
Y=9/8x+7 is the equation for the graphed line
5 0
2 years ago
Read 2 more answers
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Nuetrik [128]
<span>We dissect each statement from the problem above to fully understand it.

the sum of a number and 7 is (x + 7)

3 times this is 3(x + 7)

is means the equal sign here </span><span>3(x + 7) = </span><span>

Two less then 5 times the number is 5x - 2.

Therefore, the answer is B, 3(x + 7) = 5x - 2</span>
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3 years ago
The science teacher has a 1. 200 scale model of the space shuttle
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I have no clue actually this is weird

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