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KIM [24]
3 years ago
11

The following data was collected to explore how the average number of hours a student studies per night and the student's GPA af

fect their ACT score. The dependent variable is the ACT score, the first independent variable (x1)is the number of hours spent studying, and the second independent variable (x2) is the student's GPA
Effects on ACT Scores
Study Hours GPA ACT Score
5 4 27
5 2 18
5 3 18
1 3 20
2 4 21
Step 1 of 2: Find the p-value for the regression equation that fits the given data. Round your answer to four decimal places.
Step 2 of 2: Determine if a statistically significant linear relationship exists between the independent and dependent variables at the 0.01 level of significance. If the relationship is statistically significant, identify the multiple regression equation that best fits the data, rounding the answers to three decimal places. Otherwise, indicate that there is not enough evidence to show that the relationship is statistically significant.
Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
8 0

Answer:

Pvalue = 0.1505

y = 0.550x1 + 3.600x2 + 7.300

Step-by-step explanation:

Given the data :

Study Hours GPA ACT Score

5 4 27

5 2 18

5 3 18

1 3 20

2 4 21

Using technology, the Pvalue obtained using the Fratio :

F = MSregression / MSresidual = 30.228571/ 8.190476 = 3.69

The Pvalue for the regression equation is:

Using the Pvalue from Fratio calculator :

F(1, 3), 3.69 = 0.1505

Using the Pvalue approach :

At α = 0.01

Pvalue > α ; Hence, we fail to reject H0 and conclude that ; There is not enough evidence to show that the relationship is statistically significant.

The regression equation :

y = A1x1 + A2x2 +... AnXn

y = 0.550x1 + 3.600x2 + 7.300

x1 and x2 are the predictor variables ;

y = predicted variable

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7 0
2 years ago
Read 2 more answers
You own an accessories store, and sales last month were $24,000. You had $3,500 in discounts and $975 in returns.
Len [333]

Answer:

The net sales for last month were <u>$19,525</u>.

Step-by-step explanation:

Given:

Last month sales were $24,000.

Discounts is $3,500 and $975 in returns.

Now, to get the net sales for last month.

So, we deduct the discount:

<em>Sales - discounts</em> = \$24,000 - \$3,500 =\$20,500.

Then, we deduct the returns from the remaining amount:

<em>Sales after discounts - returns</em> = \$20,500 - \$975

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Therefore, the net sales for last month were $19,525.

7 0
3 years ago
what is 1+1? My daughters teacher said the answer wasn't 2 when she wrote it on her worksheet. please help a parent out!! maybe
nikdorinn [45]

Answer:

2

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Maybe they got confused or could not read her handwriting well because im pretty sure it is 2

8 0
3 years ago
At a concession stand one person purchased 3 drinks and 3 soft pretzels for a total of $9.00 another person purchased 4 drinks a
kherson [118]

<span>d=drinks
p=pretzels
1st eq. 3d+3p=9.00
2nd eq. 4d+2p=8.50</span>

multiply 1st eq by 2

6d+6p=18.00

<span>multiply 2nd eq by 3
12d+6p=25.50
subtract
-6d=-7.50
d=1.25
3p=9.00-3d</span>

3p=9-3.75

<span>3p=5.25
p=1.75
price of a pretzel=$1.75</span>

<span> price of a drink = $1.25</span>


7 0
3 years ago
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