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tatuchka [14]
3 years ago
14

Identify the explanatory variable and the response variable. A farmer wants to determine if the amount of precipitation received

by similar crops can be used to predict the harvest of the crop.
Mathematics
1 answer:
Mama L [17]3 years ago
7 0

Answer:

Response Variable:  harvest of crop

Explanatory Variable: Amount of precipitation

Step-by-step explanation:

Consider an equation,

y = a + bx₁ + cx₂

Here x₁ and x₂ are an explanatory variable

and, y is response variable

Explanatory Variable is a variable that is independent. It is also known as Independent Variable.

Response Variable is a variable that depends on an explanatory variable, hence change in the value of explanatory variable changes the value of Response Variable. It is also known as Dependent Variable.

As the value of the variable harvest of the crop depends on the amount of precipitation.

So, Here harvest of crop is Response Variable

and, Amount of precipitation is Explanatory Variable.

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Complete Question

A genetic experiment with peas resulted in one sample of offspring that consisted of 432 green peas and 164 yellow peas. a. Construct a 95% confidence interval to estimate of the percentage of yellow peas. b. It was expected that 25% of the offspring peas would be yellow. Given that the percentage of offspring yellow peas is not 25%, do the results contradict expectations?

Answer:

The  95%  confidence interval is  0.2392  <  p < 0.3108

No, the confidence interval includes​ 0.25, so the true percentage could easily equal​ 25%

Step-by-step explanation:

From the question we are told that

  The total sample size is  n  =  432 + 164 =596

   The  number of  offspring that is yellow peas is y =  432

   The  number of  offspring that is green peas   is g =  164

   

The sample proportion for offspring that are yellow peas is mathematically evaluated as

        \r p  =  \frac{ 164 }{596}

        \r p  =  0.275

Given the the  confidence level is  95% then the level of significance is mathematically represented as

       \alpha  =  (100 - 95)\%

      \alpha =  5\%  =  0.0 5

The  critical value of  \frac{\alpha }{2} from the normal distribution table is  

      Z_{\frac{\alpha }{2} } = 1.96

Generally the margin of error is mathematically evaluated as

        E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\r p (1- \r p )}{n} }

=>      E = 1.96 * \sqrt{\frac{0.275 (1- 0.275 )}{596} }

=>      E =  0.0358

The  95%  confidence interval is mathematically represented as

      \r p - E  <  p < \r p + E

=>   0.275 -  0.0358  <  p < 0.275 +  0.0358

=>   0.2392  <  p < 0.3108

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