Suppose the linear regression line y = 2.1x + 130 predicts sales based on the money spent on advertising. If x represents the dollars spent in advertising, and y represents the company sales in dollars, about how much can the company expect in sales if it spends $50 in advertising?A.$650B.$105C.$323D.$235
Question
Suppose the linear regression line y = 2.1x + 130 predicts sales based on the money spent on advertising. If x represents the dollars spent in advertising, and y represents the company sales in dollars, about how much can the company expect in sales if it spends 650B.323D.$235
Solution
To solve this problem, we need to substitute the value of x (which is the amount spent on advertising) into the equation of the linear regression line.
The equation is y = 2.1x + 130.
If the company spends $50 on advertising, then x = 50.
Substitute x = 50 into the equation:
y = 2.1(50) + 130 y = 105 + 130 y = 235
So, the company can expect about 50 on advertising. Therefore, the correct answer is D. $235.
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