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sergiy2304 [10]
3 years ago
13

If a person's score on a questionnaire has been found to predict observed social skills, and the linear prediction rule uses a r

egression constant of 16 and a regression coefficient of 3, the predicted level of social skills for a person with a score of 10 on the questionnaire is
Mathematics
1 answer:
swat323 years ago
7 0

Answer: Predicted level of social skill will be 46

Step-by-step explanation:

For a linear regression; the general equation is in the form;

y = mx + c

Where is the predicted value or variable

m = slope or gradient (regression coefficient )

c = intercept which is constant (this is where the line of best for crosses the y-axis.

y = predicted value

x = independent variable

Given the following:

Regression coefficient (m)= 3

Regression constant (c)= 16

Score(x) = 10 (independent variable)

From:

y = mx + c

y = 3(10) + 16

y = 30 + 16

y = 46

Predicted level of social skill will be 46

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VMariaS [17]

Answer:

The 95% confidence interval for the percent of all black adults who would welcome a white person into their families is (0.8222, 0.8978).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

323 blacks, 86% of blacks said that they would welcome a white person into their families. This means that n = 323, p = 0.86

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.86 - 1.96\sqrt{\frac{0.86*0.14}{323}} = 0.8222

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.86 + 1.96\sqrt{\frac{0.86*0.14}{323}} = 0.8978

The 95% confidence interval for the percent of all black adults who would welcome a white person into their families is (0.8222, 0.8978).

5 0
3 years ago
What is thirty three and a third percent of 237?
Georgia [21]

Answer:

79

Step-by-step explanation:

(237)(1/3) = 79

6 0
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<span>−4.0 is an integer.

hope it helps</span>
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