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REY [17]
3 years ago
6

To test for the significance of a regression model involving 14 independent variables and 255 observations, the numerator and de

nominator degrees of freedom (respectively) for the critical value of F are:_________
a. 14 and 255.
b. 255 and 14.
c. 13 and 240.
d. 14 and 240.
Mathematics
1 answer:
Gnom [1K]3 years ago
7 0

Answer:

d). 14 and 240

Step-by-step explanation:

According to the Question,

  • Given that,  The regression model involving 14 independent variables and 255 observations

We need to find out the numerator and denominator freedom degrees ,

k = 14 regression variable

= n - k - 1

= 255 - 14 - 1

= 240 residuals

df=14,240

  • Now The degree of freedom for F-critical is

F_{k,n-k-1}=F_{14,240}

So, The df of the numerator is 14 and df of the denominator is 240

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Find the Total surface area of a cone if it's slant height is 21m and diameter of it's base is 24m.
kherson [118]
<h3><u>Answer :- </u></h3>

  • The total surfAce area of cone is <u>1244.57m².</u>

<h3><u>Step-by-step</u><u> </u><u>explanation</u><u> </u><u>:</u><u>-</u><u> </u></h3>

<u>To </u><u>find </u><u>:</u><u>-</u><u> </u>

  • The total surface area of cone..

<h3><u>Solution :- </u></h3>

Given that ,

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<h3><u>♦</u><u> </u><u>Radius is </u></h3>

<u>=</u>> Diameter / 2

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=> 12m

<h3>As we know that , </h3>

<u>Total surface area of cone = πr ( r + L ) .</u>

<h3><u>Where</u><u> </u><u>we </u><u>know</u><u>,</u></h3>

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<h3>According to the question :- </h3>

The total surface of cone is,

<u>=> Total surface area = πr { r + L } ..</u>

=  \frac{22}{7}  \times 12 \times (12 + 21)

=  \frac{22}{7}  \times 12 \times 33

= (22 \times 12 \times 33) \div 7

= (726 \times 12) \div 7

= 8712 \div 7

= 1244.57 {m}^{2}

• Therefore , The total surface area of cone is <u>1244.57m².</u>

Hope this helps you :)

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